Heat of vaporization of hexane is 32.3 KJ/mol.
Clausius-Clapeyron equation allows us to estimate the vapor pressure of A substance at any temperature It also provides an easy way to estimate The heat of phase transition from the vapor pressures measured at two Temperatures.
lnP2/P1=ΔHvapR(1/T1−1/T2)
Where,
P1 = vapor pressures at temperature T1
P2 = vapor pressures at temperature T2
ΔHvap = Heat of Vaporization
R = Gas constant (8.3145 J mol-1 K-1)
Using T1 =293 k and T2=303k
In(120/186) = ΔHvap/8.31 (1/303-1/293)
ΔHvap= In(120/186) x 8.31 x 303x293/(293-303)
(-0.438) x (8.31) x (303x293)/-10
32313.6 J/mol
32.3 KJ/mol
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need help with this question
Based on the molecular structure of water and the physical state that water exists in at different temperatures, the molecular sketch that is correct is sketch A which is the solid state.
The correct option i
What are the various physical states that water can exist?Solid, liquid, and gaseous are the three main physical states in which water can exist. Water can be found as ice or snow in a solid state. Water exists as steam or water vapor in the gaseous state.
In solids, the molecules of water are arranged in a fixed crystalline pattern.
In liquids, the molecules of water are free to move about but within a given limit by intermolecular forces.
As gases, the molecule is not held back by any intermolecular forces.
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limiting reagent!
Please help me with these 5 questions and show the problem solving
(there’s a picture)
O2 is the limiting reagent and yields 20.4g of CO2.
Describe limiting reagent
The limiting reactant, also known as the limiting reagent, is the reactant that is used first during a chemical reaction, hence restricting the amount of product that can be produced.
2C₂H₂ + 5O₂ → 4CO₂ + 2H₂O
Quantity of C2H2 moles:
Moles equal mass divided by molar mass
13.7 g/26.04 g/mol is the number of moles.
= 0.526 mol.
O2 moles are calculated using the formula: moles = mass / molar mass.
18.5 g/32 g/mol = the number of moles
= 0.578 mol
Produced CO2 mass:
Number of moles times molar mass equals mass
Mass = 0.4622 mol at 44 g/mol
Mass = 20.328 g
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orderly crystal shapes, high melting points, and electrical conductivity when dissolved in water are properties of ionic compounds. (True or False)
True. Ionic compounds are made up of ions, which are atoms that have a positive or negative charge due to the gain or loss of electrons.
What is atoms ?Atoms are the building blocks of all matter in the universe. They are the smallest particles that make up elements and are composed of protons, neutrons, and electrons. Atoms are so small that they can only be seen with the aid of powerful microscopes. They are the fundamental particles of chemistry and cannot be broken down into anything simpler. Atoms are the basic unit of matter and each atom has its own unique chemical properties. The combination of these properties determines the physical and chemical characteristics of the substances made up of atoms. Atoms can combine with other atoms to form molecules, and molecules can combine to form compounds. This is the basis of all chemical reactions and the foundation of modern chemistry.
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Robert was able to travel 230.0 miles in 4.000 hours and used 40 liters of gasoline. What was Robert's speed in feet per second?
The term mile is a unit of the distance which is approximately equals to 1.6 km or 1760 yards. Here the Robert's speed in feet per second is 84.33.
What is speed?Speed is defined as the rate of change of position of a body in any direction. It can also be defined as the ratio of the distance to the speed of an object. Speed is a scalar quantity as it has no magnitude only direction.
The SI unit of speed is m/s. The equation which is used to calculate the speed is:
Speed = Distance / Time
1 mile = 5280 feet 1 hour = 3600 s.
So 230.0 miles = 1214,400 feet
4 hour = 14, 400 s
Then the speed is:
Speed = 1214,400 / 14, 400 = 84.33 feet per second.
Thus the Robert's speed in feet per second is 84.33.
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water molecules are involved in building and breaking down large polymers. which statements correctly describe water in these processes?
In polymerization reactions, water molecules are involved in both hydration and dehydration process.
What are polymerization reactions?The reactions in which large number of monomer molecules react to form polymer are called polymerization reactions.The large molecules which are produced from polymerization may have linear or branched structure.
They can also form a complex three dimensional structure . There are different polymerization reactions like step-growth polymerization, chain -growth polymerization and condensation polymerization.
Polymers containing same kind of monomer are homopolymer and which contain different monomers are heteropolymers. Mechanisms which describe formation of polymers are of different types such as free radical mechanism and chain growth mechanisms.
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Which of the following can vary among monosaccharides? a) the presence of hydroxyl groups b) the number of carbon atoms c) the presence of a carbonyl group d) all of the above
Monosaccharides can vary in the number of carbon atoms they contain. (B)
A monosaccharide is one of the fundamental molecules that serves as a building block for carbohydrates. It is sometimes referred to as a simple sugar. Monosaccharides can be categorized based on the position of their carbonyl group, the total number of carbon atoms that they comprise, and the chiral nature of their structure.
In the event that the carbonyl group is an aldehyde, the monosaccharide will be referred to as an aldose. When the carbonyl group is in the form of a ketone, the monosaccharide is referred to as a ketose. The amount of carbon atoms present in a monosaccharide molecule determines the type of monosaccharide.
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Consider an ionic compound, MX3 , composed of generic metal M and generic gaseous halogen X.
The enthalpy of formation of MX3 is Δ∘f=−989 kJ/mol.
The enthalpy of sublimation of M is Δsub=129 kJ/mol.
The first, second, and third ionization energies of M are IE1=647 kJ/mol, IE2=1627 kJ/mol, and IE3=2569 kJ/mol .
The electron affinity of X is ΔEA=−369 kJ/mol . (Refer to the hint).
The bond energy of X2 is BE=153 kJ/mol.
Determine the lattice energy of MX3.
The lattice energy of the compound is -5745 kJ/mol.
What is the lattice energy?
We know that the lattice energy is the energy that is given out when a crystal lattice is formed. We obtain the energy by the use of the Hess law which would have to involve the heat that was evolved or absorbed in the process.
Lattice energy = (−989) - (129) - (153) - [(647 + 1627 + 2569)] - (−369)
Lattice energy = -5745 kJ/mol
Hence the lattice energy of the unknown compound MX3 given the data that has been provided is obtained as -5745 kJ/mol.
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Draw diagram of the followings compound
2,5-dimethylhept-3-ene
5-ethyl-2,3-dimethylhept-1,3-diene
2,3-dimethylbut-2-ene
The images of the compounds are shown in the images attached.
How do you draw the image of a molecule?We know that a compound can be said to be formed from atoms. In the cases of the compounds that we have here, we have been asked to obtain the image of the compound.
What we would have to do here is to find the longest chain of carbon in the compound and this would be the parent chain that we have to draw. We would then look at the functional groups that we have and attach the substituents into the compound as appropriate.
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experiment 2: calculate the molar mass of fp sample 2. note that this sample dissociates to form two ions in solution.
The molar mass of fp sample is 74.5513 g/mol
What is molar mass?The molar mass of a sample is the mass of a single mole of the sample in grams. Since the sample dissociates to form two ions in solution, the molar mass will be the sum of the masses of the two ions. To calculate the molar mass, you need to know the mass of each ion, which can be calculated by multiplying the atomic mass of each element in the ion by the number of atoms of that element in the ion. For example, if the sample is KCl, the molar mass would be calculated as follows:
Molar mass = atomic mass of potassium (39.0983 g/mol) * 1 atom of potassium + atomic mass of chlorine (35.453 g/mol) * 1 atom of chlorine
Molar mass = 39.0983 g/mol + 35.453 g/mol
Molar mass = 74.5513 g/mol
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when six h2o molecules interact with six co2 molecules, the result is six c6h12o6 molecules and six o2 molecules. in this reaction the products are.
When six h2o molecules interact with six co2 molecules, the result is six c6h12o6 molecules and six o2 molecules.
What is a chemical reaction?A chemical reaction is a process that transforms one set of chemical substances into another. It is characterized by changes in the chemical composition of a substance and the release or consumption of energy. During a chemical reaction, bonds between atoms are broken and new bonds are formed to produce different substances. These new substances have different properties than the original substances and may have different chemical and physical properties.
Chemical reactions can occur in a variety of ways, such as the mixing of two or more substances, the exposure of a substance to heat, light, or radiation, and the introduction of a catalyst to speed up the reaction. The chemical reactions that occur are governed by the laws of thermodynamics and the reaction rate is determined by the activation energy required to break the bonds of the reactant molecules.
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In which situation can Le Chatelier's principle be applied? (1 point) It can be applied when a reaction is reversible, and environmental conditions are kept constant. It can be applied when a reaction happens in a single direction, and environmental conditions are changed. It can be applied when a reaction happens in a single direction, and environmental conditions are kept constant. It can be applied when a reaction is reversible, and environmental conditions are changed.
Le Chatelier's principle can be applied when a reaction is reversible, and environmental conditions are kept constant. Therefore, option A is correct.
What is Le Chatelier's principle ?The Le Chatelier's principle may be described as follows: When a system is in a state of dynamic equilibrium and an external stress is applied, the system moves the location of equilibrium to cancel out the effect of the stress.
Chemical systems can be stressed by altering the concentration, pressure, or temperature.
According to Le Chatelier's principle, for exothermic reactions, the equilibrium changes towards the reactant side as the temperature rises; while, for endothermic reactions, the equilibrium shifts towards the product side as the temperature rises.
Thus, option A is correct.
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Answer:
Changing Reaction Rates Quick Check
1. The forward reaction would increase to start reducing the concentration of N2.
2. It can be applied when a reaction is reversible, and environmental conditions are CHANGED.
3. The equilibrium will shift to the LEFT.
4. Adding steam allows more molecules of the REACTANTS to collide, causing the rate of the FORWARD reaction to increase.
5. an increase in the concentration of CO.
Explanation:
if you put these answers, 100%.
P.S. I used "kept constant" for question 2 like the person suggested and it was incorrect for me.
What is the mass in grams of 13.26 mL of acetone?
The density of acetone is 0.79 g/ml. Therefore, the mass of acetone for 13.26 ml is the product of its volume and density that is, 10.47 g.
What is density ?Density of substance is the measure of its mass per unit volume. It describes how closely its particles are packed. Density depends on the bond type, temperature and pressure.
Volume of the object is the space occupied by its particles. Volume can be expressed in L, ml, cm³, dm³ etc. Only solids and liquids has a definite volume and the volume of gases is that of the container.
Give that, volume of the object = 825 cm³
density = 13.6 g/cm³
Mass = volume × density
m = 13.26 ml × 0.79 g/ml = 10.47 g
Therefore, the mass of acetone is 10.47 g.
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When an alarm sounds in the laboratory, it is important to respond _______ and remain ______. Listen for any other instructions, turn off any _______ in use, and be prepared to leave immediately.
1) calmly
2) quiet
3) equipment
When an alarm sounds in the laboratory, it is important to respond quickly and remain calm. Listen for any other instructions, turn off any equipment in use, and be prepared to leave immediately.
What is laboratory?
Laboratory is a place where scientific experiments and measurements are performed. It is equipped with various types of equipment and instruments to carry out experiments and tests. Laboratories are usually used by scientists and technicians to conduct experiments, analyze samples, and conduct research. It is an area that is designed to be kept clean and organized in order to ensure safety and accuracy when conducting experiments. Laboratories can be found in many different settings such as hospitals, universities, research and development centers, and manufacturing facilities.
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Calculate the following quantity: volume in liters of 0.143 M manganese(II) sulfate that contains 73.0 g of solute. round your answer to significant figures.
The volume can be calculated using the molarity and the number of moles of solute: 0.143 M = moles of solute/volume (in liters)
To find the number of moles of solute, we use the formula weight of manganese(II) sulfate: moles of solute = mass of solute/formula weight
The formula weight of manganese(II) sulfate is found by adding the atomic weights of manganese (54.938 g/mol), sulfur (32.066 g/mol), and oxygen (16.00 g/mol): formula weight = 54.938 + 32.066 + (4 x 16.00) = 247.0 g/mol. So, moles of solute = 73.0 g / 247.0 g/mol = 0.296 mol. Finally, we can find the volume: volume = moles of solute / molarity = 0.296 mol / 0.143 mol/L = 2.06 L
Rounding to two significant figures, the volume of 0.143 M manganese(II) sulfate that contains 73.0 g of solute is 2.1 L.
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For a certain ideal gas, the temperature is
increased from 200 K to 602 K allowing pres-
sure, which is initially 1 atm, to vary while
the volume and number of moles of gas are
held constant. What is the new pressure?
Answer in units of atm.
Answer: The new pressure is 3.01 atm
Explanation:
Lets used the ideal gas formula: PV = nRT
P = pressure, V = volume, n = moles, R = universal gas constant, T = temperature (in kelvin)
In this problem we are given that the change in temperature and we need to find the new pressure, when the initial pressure is 1 atm. All other variables are constant.
We can rewrite the ideal gas formula to suite this problem by saying that
P1/T1 = P2/T2
Now lets set up the equation to solve for P2
[tex]P_{2} = \frac{P_{1} * T_{2} }{T_{1} }[/tex]
Now lets plug in the values.
P1 represents the initial pressure: 1 atm
T1 represent the inital temperature: 200k
T2 represents the final temperature: 602k
We are solving for the P2, the final (new) temperature.
[tex]P_{2} = \frac{1atm* 602K }{200k }\\\\P_{2} = 3.01atm[/tex]
Name the organic product of the following reaction
The product of the reaction is 1-chloro -5 -methyl hexan -2- ol
What is carbonyl reduction?Carbonyl reduction is a chemical reaction in which a carbonyl group (C=O) is reduced, resulting in the formation of a primary or secondary alcohol.
Carbonyl reduction reactions typically involve the transfer of electrons from a reducing agent, such as a metal catalyst or a hydrogen-donating reagent, to the carbonyl group, breaking the carbon-oxygen double bond and forming a single bond between carbon and oxygen.
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2) Assuming a constant pressure, if the heated air had a temperature 100 deg * C and the water cooled the air to 25 deg * C what was the volume of the deflated balloon ?
The Charles law can give the new volume of the gas.
What is the new volume?This question is incomplete as the value of the initial volume was not shown. I can help you if I can point you to the Charles 's law.
We know that according to the Charles's law, the volume of a given mass of gas is directly proportional to the temprateure at a constnat pressure. This is the case eher. We would need to know the initial volume of the gas so that we can be able to use the Charlee's law in helping us to obtain the new volume of the gas.
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sodium has 11 electrons arranged in three energy levels. the outer level has only one electron. in order to become stable, the atom loses an electron thus exposing the previous level with 8 electrons and subsequently becomes an ion with (a/an)____
Sodium has 11 electrons arranged in three energy levels. The outer level has only one electron, which means that sodium is an electron short of having a full outer energy level. To become stable, sodium loses this electron, exposing the previous energy level with 8 electrons, and becomes a positively charged ion, also known as a cation. So, sodium becomes an ion with a +1 charge.
Sodium is a chemical element with the symbol Na and atomic number 11. It is located in Group 1 of the periodic table and is considered an alkali metal. Sodium atoms have 11 electrons arranged in three energy levels, with the outermost energy level having only one electron. This electron configuration makes sodium highly reactive and unstable, as atoms strive to attain stability by having a full outer energy level of electrons.
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which of the following reactions is likely to be product favored based on energetic considerations? (you can select more than one reaction.) 2Na(s) + Cl2(g) -> 2NaCl(s) 2NH3(g) -> N2(g) 3H2(g) CH4(g) +2O2(g) -> CO2(g) + 2H2O(g) CH4(g) +2H2O(l) -> CO2(g) + 4H2(g)
Based on energetic considerations, the reactions that are likely to be product favored are:
2Na(s) + Cl₂(g) → 2NaCl(s)CH₄(g) +2O₂(g) → CO2(g) + 2H₂O(g)What are energetic considerations in chemical equations?Energetic considerations in chemical equations refer to the energy changes that occur during a chemical reaction. These changes can be in the form of heat, light, or work, and they determine the feasibility of a reaction based on the energy required and the energy produced. In general, reactions that have a positive change in energy (exothermic reactions) are more likely to be product-favored, as the products have lower energy than the reactants.
Conversely, reactions that have a negative change in energy (endothermic reactions) are less likely to be product-favored, as the products have higher energy than the reactants. Both of these reactions are exothermic, meaning they release energy, making them favored towards the formation of the products.
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How many grams of carbon are in 393.0 g
of carbon tetrachloride?
Carbon tetrachloride, CCl4, has one carbon atom per molecule. The molar mass of carbon tetrachloride can be calculated by adding the atomic masses of the constituent atoms:
1 × 12.01 g/mol (carbon) + 4 × 35.45 g/mol (chlorine) = 154.01 g/mol
To determine the number of moles of carbon in 393.0 g of carbon tetrachloride, we need to divide the mass by the molar mass:
393.0 g / 154.01 g/mol = 2.549 moles
Since there is one carbon atom in each molecule of carbon tetrachloride, there are 2.549 moles of carbon in 393.0 g of carbon tetrachloride.
To convert from moles to grams, we can use the molar mass of carbon:
2.549 moles × 12.01 g/mol = 30.57 g
Therefore, there are approximately 30.57 grams of carbon in 393.0 g of carbon tetrachloride.
assuming only 40.3 g of N2O is produced when 50.0 g of nitrogen gas reacted with 75.0 g of oxygen gas, what is the percent yield of reaction
The percent yield of a reaction is the ratio of the amount of product produced in the reaction to the amount of product that should have been produced according to the reaction's stoichiometry.
What is stoichiometry?
Stoichiometry is the field of chemistry that studies the quantitative relationships between the reactants and products in chemical reactions. It allows chemists to calculate the amount of reactant needed to produce a certain amount of product, as well as how much product will be produced from a certain amount of reactant.
To find the percent yield, we must first determine the amount of product that should have been produced according to the reaction's stoichiometry.
In this case, the reaction is:
According to the reaction's stoichiometry, for every mole of nitrogen gas that reacts, one mole of nitrogen dioxide should be produced. We can use the given masses of nitrogen gas and oxygen gas to determine how many moles of each were used in the reaction.
1 mole of nitrogen gas = 28.0 g
1 mole of oxygen gas = 32.0 g
We can use the given masses of nitrogen gas and oxygen gas to determine the number of moles of each used in the reaction.
Moles of nitrogen gas = 50.0 g / 28.0 g = 1.79 moles
Moles of oxygen gas = 75.0 g / 32.0 g = 2.34 moles
According to the reaction's stoichiometry, for every mole o
N2 + O2 → N2OfThe percent yield of a reaction is the ratio of the amount of product produced in the reaction to the amount of product that should have been produced according to the reaction's stoichiometry. To find the percent yield, we must first determine the amount of product that should have been produced according to the reaction's stoichiometry.In this case, the reaction is:
Atoichiometry, for every mole of nitrogen gas that reacts, one mole of nitrogen dioxide should be produced. We can use the given masses of nitrogen gas and oxygen gas to determine how many moles of each were used in the reaction.
1 mole of nitrogen gas = 28.0 g
1 mole of oxygen gas = 32.0 g
We can use the given masses of nitrogen gas and oxygen gas to determine the number of moles of each used in the reaction.
Moles of nitrogen gas = 50.0 g / 28.0 g = 1.79 moles
Moles of oxygen gas = 75.0 g / 32.0 g = 2.34 moles
According to the reaction's stoichiometry, for every mole o
N2 + O2 → N2Of
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global warming is causing atmospheric co2 levels to increase, which is expected to cause ocean acidification. which of the following is not a consequence of increased atmospheric co2 levels?
Increase in the concentration of hydrogen ions in the oceans is NOT a consequence of increased atmospheric CO₂ levels. Option E is correct.
The main consequence of increased atmospheric CO₂ levels is ocean acidification, which is characterized by a decrease in the pH of seawater caused by an increase in the concentration of hydrogen ions in the oceans. This is caused by the reaction of carbon dioxide with seawater to form carbonic acid, which then breaks down into hydrogen ions and bicarbonate ions.
The decrease in pH can have significant impacts on marine organisms, including changes in the availability of important nutrients, altered behavior, and reduced growth and survival rates.
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--The given question is incomplete, the complete question is
"Global warming is causing atmospheric CO₂ levels to increase, which is expected to cause ocean acidification Which of the following is NOT a consequence of increased atmospheric CO₂ levels? A) decrease in the concentration of bicarbonate ions in the oceans B) increase in the amount of carbonic acid formed in the oceans C) decrease in the amount of calcium carbonate produced in the oceans D) decrease in the concentration of carbonate ions in the oceans E) increase in the concentration of hydrogen ions in the oceans"--
A generic element, M, has two isotopes, 11M and 13M, and an average atomic mass of 11.66 amu. The natural abundances of the two isotopes are 65% 11M and 35% 13M. The isotopic mass of 11M is 11.01 amu. What is the isotopic mass of 13M?
12.01 amu
11.43 amu
11.24 amu
12.87 amu
The average atomic mass of an element is calculated as the weighted average of the masses of its isotopes, taking into account their natural abundances.
Given the average atomic mass of 11.66 amu and the natural abundance of 65% for 11M, we can calculate the contribution of 11M to the average atomic mass as follows:
11.01 amu * 0.65 = 7.165 amu
Next, we can subtract this contribution from the average atomic mass to find the contribution of 13M:
11.66 amu - 7.165 amu = 4.495 amu
Finally, we can divide this contribution by the natural abundance of 13M (0.35) to find the isotopic mass of 13M:
4.495 amu / 0.35 = 12.87 amu
So the isotopic mass of 13M is approximately 12.87 amu.
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identify the limiting reactant and determine the mass of co2 that can be produced from the reaction of 25
This indicates that oxygen is the limiting reactant and that 645 moles of carbon dioxide will result from the reaction.
What is the phosphide ion?Any chemical molecule in which phosphorus is mixed with a metal is referred to as a phosphide. The phosphide ion is P3 and there are known phosphides of practically all the elements in the periodic table.
A 2 charge is what kind of ion?A magnesium atom will thus produce a cation with a charge of 2+ and two fewer electrons than protons. It is referred to as a magnesium ion and has the symbol Mg2+.
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Complete each of the statements regarding amino acids. Select the amino acid that fits best in each category. 1. An example of a basic amino acid is 2. An example of an acidic amino acid is 3. An example of a neutral polar amino acid is 4. An example of a hydrophobic amino acid is
An example of a basic amino acid is Lysine. An example of an acidic amino acid is Glutamic acid. An example of a neutral polar amino acid is Asparagine. An example of a hydrophobic amino acid is Glycine.
Organic substances known as amino acids have both amino and carboxylic acid functional groups. Alpha-amino acids, which make up proteins, are by far the most significant of the hundreds of amino acids found in nature. In the genetic code, only 22 alpha amino acids are present.
Body protein as well as other vital nitrogen-containing substances including creatine, peptide hormones, and some neurotransmitters cannot be produced without amino acids. Despite the fact that allowances are represented as proteins, amino acids are a biological necessity.
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Consider the following two compounds: H2O and H2O2. According to the law of multiple proportions, the ratio of hydrogen atoms per gram of oxygen in H2O to hydrogen atoms per gram of oxygen in H2O2 is:A. 4:1B. 2:2C. 1:2D. 2:1E. 1:1 D 21
The answer is D, 2:1. The ratio of hydrogen atoms per gram of oxygen in H2O is 2:1, and the ratio of hydrogen atoms per gram of oxygen in H2O2 is 2:2.
The law of multiple proportions states that the ratio of elements in different compounds of the same elements is a whole number. In H2O, there are two hydrogen atoms for every oxygen atom, meaning the ratio of hydrogen atoms per gram of oxygen is 2:1. In H2O2, there are two hydrogen atoms and two oxygen atoms, meaning the ratio of hydrogen atoms per gram of oxygen is 2:2. However, the question asks for the ratio of H2O to H2O2, meaning it is 2:1.
This law helps to confirm the atomic theory and shows that elements can combine in definite proportions to form compounds. It is also important in determining the empirical formula of a compound, which represents the simplest ratio of the elements present in a compound.
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solid iron(iii) oxide reacts with hydrogen gas to form solid iron and liquid water. write the balanced chemical equation for the reaction described. phases are optional.
The balanced chemical equation for the reaction between solid iron(III) oxide and hydrogen gas to form solid iron and liquid water is:
Fe₂O₃ + 3H₂ -> 2Fe + 3H₂O
A balanced chemical equation is a representation of a chemical reaction that shows the exact number of atoms of each element involved in the reaction.
In a balanced chemical equation, the number of atoms of each element on the reactant side of the equation must be equal to the number of atoms of each element on the product side of the equation.
Fe₂O₃ + 3H₂ -> 2Fe + 3H₂O
In this equation, the iron(III) oxide (Fe₂O₃) reacts with hydrogen gas (H₂) to produce solid iron (Fe) and liquid water (H₂O). The coefficients in the equation ensure that there are the same number of atoms of each element on both sides of the equation, making it a balanced chemical equation.
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a gas in a piston-cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by PV^n=constant. The initial volume is 0.1(m^3), the final volume is (0.04m^3), and the final pressure is 2 bar. Determine the initial pressure, in bar, and the work for the process, in kJ, if (a) n = 0, (b) n =1, (c) n = 1.3. Be Sure to plot each process on a PV diagram.
The work for the process, in kJ, if
(a) n = 0, is 12kJ
(b) n = 1, is -7.33kJ
(c) n = 1.3, is 6.41kJ
What is isothermal ?Isothermal is a term used to describe a process or system that is maintaining a constant temperature. For example, an isothermal process can occur when two bodies are in thermal equilibrium, meaning they are at the same temperature and heat is not exchanged between them. In a system, isothermal can refer to when the temperature of the system remains constant, even when energy is added or removed from it. This is typically achieved by using a heat exchanger to transfer energy from the system to a heat bath at a constant temperature.
when n=0 , putting n=0 in equation 1 we get
P1 = P2
thereforeP1 = 2 bar
Workdone can be obtained by putting values in equation 2
Workdone,
[tex]\text W = \dfrac{200000 \times 0.04 - 200000 \times 0.1}{1-0}[/tex]
therefore Workdone = - 12000 J = 12kJ
2) when n=1 , putting n=1 in equation 1 we get
P1 V1 = P2 V2
thereforeP1 = 80000 pascal
Workdone can be obtained by putting values in equation 3
Workdone,
[tex]\text W = 80000 \times 0.1ln\left(\dfrac{0.04}{0.1} \right)[/tex]
Therefore Workdone = -7330 J = -7.33kJ
3) when n=1.3 , putting n=1.3 in equation 1 we get
P1 V11.3 = P2 V21.3
ThereforeP1 = 60772.623 pa
Workdone can be obtained by putting values in equation 2
Workdone,
[tex]$ \text W= \frac{200000 \times 0.04 -60772.62 \times 0.1}{1 - 1.3}[/tex]
therefore Workdone = - 6409.12 J = 6.41kJ
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Two alpha particles (helium nuclei), each consisting of two protons and two neutrons, have an electrical potential energy of 6.43 times 10^-19 J. The value of the Coulomb constant is 8.98755 times 10^9 Nm^2/C^2, the charge on a proton is 1.6021 times 10^-19 C, and the acceleration of gravity is 9.8 m/s^2 What is the distance between these particles at this time?
The distance between the two alpha particles is approximately 0.735 nanometers.
The electrical potential energy of two alpha particles can be calculated using Coulomb's law formula for the potential energy of two charged particles. The formula is given by:
U = k * q1 * q2 / r, where
k is the Coulomb constantq1 and q2 are the charges of the two particlesr is the distance between them.We can rearrange this formula to solve for r:
r = k * q1 * q2 / U
Substituting the given values, we get:
r = (8.98755 x 10^9 Nm^2/C^2) * (2 x (1.6021 x 10^-19 C)) / (6.43 x 10^-19 J)
r = 0.735 x 10^-9 m
= 0.735 nanometers
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in an intramolecular proton transfer reaction, the acidic site and the basic site are tethered in the same structure, and a proton is passed from the acidic region of the structure to the basic region of the structure. an example is shown. draw a mechanism for this brocess.
The mechanism is given as
here, hydrogen is most acidic, so it's likely to have an intramolecular proton transfer reaction in this problem. One of other sites for an acid base reaction will react with hydrogen because most of the oxygen is negative.
One of these oxygen's is going to act as a base and it's going to take this hydrogen and put it on that oxygen, their negative charge is going to act more basic than the other oxygen.
When electrons are shifted into hydrogen, We have an alcohol here and a carboxyl ion over here. Our acid now is an alcohol and our carboxylic acid is stronger, so we're going towards the weaker acid and base.
In other words, equilibrium is shifted towards the right.
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