7 × 5 matrix must have exactly five pivot columns for the columns of the matrix to be linearly independent.
The above given matrix can only have 5 pivot columns for the system to be linearly independent.
Recall that in the system of equations.
Ax = b
Where,
"A" is denoted as the coefficient matrix of the incognita vector x and
"b" is denoted as the solution vector.
The extended matrix is given as,
(A l b)
So, we can conclude that if the matrix has more than 5 pivot columns, then the system is linearly dependent.
Hence, 7 × 5 matrix must have exactly five pivot columns for the columns of the matrix to be linearly independent.
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Please help!
Given the equation C3H8(g)+5O2(g) balanced to 3CO2(g)+4H2O(g)+2220kj, how much heat is produced when 80.0g of O2 react?
Thank you to whoever answers!
Taking into account the definition of enthalpy of a chemical reaction, the quantity of heat produced when 80.0g of O₂ react is 1110 kJ.
Enthalpy of a chemical reactionThe enthalpy of a chemical reaction as the heat absorbed or released in a chemical reaction when it occurs at constant pressure.
The enthalpy is an extensive property, that is, it depends on the amount of matter present.
Heat produced im this caseIn this case, the balanced reaction is:
C₃H₈ (g) + 5 O₂ (g) → 3 CO₂ (g) + 4 H₂O(g) + 2220 kJ
This equation indicates that when 1 mole of C₃H₈ reacts with 5 moles of O₂, 2220 kJ of heat is produced.
If the molar mass of O₂ is 32 g/moles, the mass of O₂ that react is calculated as:
mass of O₂= 5 moles× 32 g/mole
mass of O₂= 160 grams
Then you can apply the following rule of three: if 160 grams of O₂ releases 2220 kJ of heat, 80 grams of O₂ releases how much heat?
heat= (80 grams of O₂ ×2220 kJ)÷ 160 grams of O₂
heat= 1110 kJ
Finally, the quantity of heat released is 1110 kJ.
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extra step here! can you catch it while dropping off your recycling you are over come by the urge to weigh the tin cans you brought in. you find that the mass of cans in the box you brought had a mass of 23kg. how many moles do you have
55.845 g/mol of the mass of cans in the box we brought had a mass of 23kg. 411.74 mol moles we have.
To determine the number of moles of tin cans you have, we need to know the molar mass of the metal that the cans are made of. Tin cans are usually made of steel, which is an alloy made primarily of iron and carbon, with small amounts of other elements.
To convert the mass of the cans (23 kg) to moles, we need to use the following formula:
moles = mass / molar mass
moles = 23,000 g / 55.845 g/mol = 411.74 mol
Therefore, the number of moles of iron in the 23 kg of tin cans is approximately 411.74 mol.
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a sample of ethane, c2h6 is found to contain 3.00 x 1022 atoms of h. how many molecules of c2h6 are present?
Total 5×10²¹ molecules of C₂H₆ are present in a sample of ethane which contain 3.00 x 10²² atoms of hydrogen.
We have a sample of ethane. Number of hydrogen atoms contain in C₂H₆ = 3.00 x 10²² atoms. Let us consider a reaction,
C₂H₆ → 2C+ 6H
From the equation, there is two carbon atoms and six hydrogen atoms. That means one molecule of ethane contains six hydrogen atoms. Six H-atoms are present in the no. of molecules of C₂H₆
= 1 molecule
3.00 x10²², H-atoms are present in the no. of molecules of C₂H₆= (3x10²²)/6 molecule
= 0.5×102²² molecule
= 5 × 10²¹ molecule
Hence, required number of molecules are 5×10²¹ molecule.
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explain why the lower vapor pressure for a solution containing a nonvolatile solute results in a higher boiling point and lower melting point compared to the pure solvent.
The lower vapor pressure results in a depressed freezing point. As a result, the graph shifts, and the triple point is lowered resulting in a lower melting point.
The boiling factor of a substance is the temperature at which the vapor stress of a liquid equals the stress surrounding the liquid and the liquid modifications right into a vapor. the warmth of vaporization is the energy required to convert a given amount (a mol, kg, pound, and so on.) of a substance from a liquid right into gasoline at a given pressure (frequently atmospheric stress).
The boiling point of a liquid varies consistent with the carried-out strain; the normal boiling point is the temperature at which the vapor stress is equal to the same old sea-stage atmospheric pressure (760 mm [29.92 inches] of mercury). At sea level, water boils at 100° C (212° F). The boiling factor of a natural substance is the temperature at which the substance transitions from a liquid to the gaseous phase.
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HELP ME SOMEBODY PLEASE HELP!
a stream traveling at 5cm/s slows to 0.04cm/s. Which particle size deposit first?
The particle size that deposits first in a stream that slows from 5 cm/s to 0.04 cm/s is determined by the settling velocity of the particles, which is a function of the particle size, shape, and density, and the fluid velocity. It is likely that the larger and denser particles will deposit first in the stream as it slows from 5 cm/s to 0.04 cm/s.
What is meant by settling velocity?Settling velocity is the speed at which a particle will sink to the bottom of a fluid due to gravity. Particles with a higher settling velocity will settle faster than those with a lower settling velocity.
What if the fluid velocity decreases?If the fluid velocity decreases, the relative velocity between the fluid and the particles also decreases. This can make it easier for particles to settle out of suspension and deposit at the bottom of the fluid.
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photoelectron spectroscopy is used to remove one electron from an atom or molecule. this process was used to remove one electron from potassium. how many different ionization energy bands were found? (ignore effects from spin).
One can observe two ionization energy bands in the photoelectron spectra of potassium.
The number of ionization energy bands that can be found in photoelectron spectroscopy depends on the specific atom or molecule being studied, as well as the conditions under which the spectroscopy is performed.
For potassium, the most common form of photoelectron spectroscopy is X-ray photoelectron spectroscopy (XPS), which typically results in the observation of two ionization energy bands one corresponding to the removal of an electron from the 1s orbital and another corresponding to the removal of an electron from one of the higher-energy orbitals, such as the 2p or 2s orbitals.
It's worth noting that the number of ionization energy bands observed can be influenced by various factors, such as the level of energy resolution of the spectrometer and the presence of impurities or other chemical species in the sample. Additionally, the presence of spin-orbit coupling can give rise to additional, splitted peaks in the XPS spectra, which would increase the number of ionization energy bands observed.
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Choose equations describing two different ways in which benzyl ethyl ether could be prepared by a williamson ether synthesis
The correct option is B and C. The two different ways in which benzyl ethyl ether could be prepared by a Williamson ether synthesis
it's in reality a count number of creating connections or putting things together. We synthesize information naturally to assist others to see the connections among matters. For instance, whilst you document to a friend the things that numerous different buddies have said about a track or film, you are engaging in synthesis.
it's far the method of combining two or extra additives to produce an entity. In biochemistry, it refers back to the production of an organic compound in a residing aspect, especially as aided by using enzymes. it is the method of combining or greater components to produce an entity. In biochemistry, it refers to the production of a natural compound in a living factor, particularly as aided through enzymes.
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_____________ is the method of determining the concentration of a solution of unknown concentration by adding a controlled and measured amount of a solution of a known concentration until a desired chemical reaction occurs.
Titration is the method of determining the concentration of a solution of unknown concentration by adding a controlled and measured amount of a solution of a known concentration until a desired chemical reaction occurs.
In titration, the solution of known concentration is called the titrant, and the solution of unknown concentration is called the analyte. The reaction between the two solutions is carefully monitored by observing a change in physical properties, such as color, or by measuring a change in the conductivity or pH of the solution. The volume of titrant needed to cause the reaction is used to calculate the concentration of the analyte. Titration is widely used in analytical chemistry, quality control, and industrial processes to determine the precise concentration of a variety of substances in solution.
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What mass of hydrogen gas is produced from complete reaction of 2.00 g of sodium metal with excess water? The only other product of the reaction is sodium hydroxide.
According to the stoichiometry of the balanced chemical equation for formation of sodium hydroxide the mass of hydrogen gas produced from complete reaction of 2.00 g of sodium metal with excess water is 0.086 g.
What is stoichiometry?It is the determination of proportions of elements or compounds in a chemical reaction. The related relations are based on law of conservation of mass and law of combining weights and volumes.
Stoichiometry is used in quantitative analysis for measuring concentrations of substances present in the sample.
In the given chemical equation, 46 g sodium gives 2 g hydrogen , thus 2 g sodium gives 2×2/46=0.086 g.
Thus,the mass of hydrogen gas produced from complete reaction of 2.00 g of sodium metal with excess water is 0.086 g.
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Formulate a real-life situation and solved which involves multiplication of polynomials and division of polynomials. Use the rubric provided to rate your work.
A real-life situation where multiplication and division of polynomials needs to be solved could be the following:
Tom is a carpenter and he needs to calculate the volume of a cuboid-shaped object he is constructing. The object has a length of 5x^2 + 6x - 2, a width of 3x - 2, and a height of 4x + 1. Tom needs to calculate the total volume of the object and rate his work with the rubric provided.
The volume of the object can be calculated by multiplying the length, width, and height together:
(5x^2 + 6x - 2)(3x - 2)(4x + 1)
The total volume can be simplified to 60x^3 + 4x^2 - 18x - 10. Tom can then use the rubric provided to rate his work.
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A group of students collects data to determine whether compounds were ionic or covalent. They placed each compound in a
small bowl and stuck two open ends of a battery-powered circuit in the compound,
CO2 (s)
KCI (s)
CaO (S)
Compound
Conductive
SIO2 (s)
No
No
No
No
Based on the student's data, can they determine which substances are ionic, and which are covalent?
A No, as ionic compounds are only conductive in an aqueous (water) solution
B Yes, as all of these compounds are ionic since they are not conductive.
No, as covalent compounds are only conductive in an aqueous (water) solution
Yes, as all of these compounds are covalent since they are not conductive
Yes, as all of these compounds are covalent since they are not conductive.
Based on the information provided by the students, it is not possible to determine whether the compounds are ionic or covalent by solely examining their conductivity. The students tested the conductivity of the compounds in their solid form, but the conductivity of a compound does not necessarily indicate its type of bonding. Ionic compounds can be conductive in an aqueous solution, but not in their pure solid form, while covalent compounds are typically not conductive in either form. The fact that none of the compounds are conductive in the students' experiment does not mean that they are covalent. To determine the type of bonding in a compound, other factors such as chemical formula, crystal structure, and electronegativity difference between the elements must be considered.
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all of the following are ways in which fatty acids can differ from one another except: a. number of double bonds. b. degree of saturation. c. chain length. d. average number of kcals per gram.
All of the following are ways in which fatty acids can differ from one another except chain length and degree of saturation.
Fatty acids can be classified according to the length of their chain, for example, in short (if it has less than 8 carbons), medium (between 8-12 carbons), long (between 12-18 carbons) and very long (if it has less than 18 carbons); they are also classified according to their degree of unsaturation, in saturated, monounsaturated and polyunsaturated; and according to the isomerism in cis and trans fatty acids.
A fatty acid is different from others in various ways. Some examples are as double bonds they have, saturation level how long a fatty acid chain is.
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mcb 101 why is it important to allow a sterilized inoculating loop to cool before attempting to sample liquid culture?
It is important to allow the sterilized inoculating loop to cool the before attempting to sample liquid culture is to avoid the killing the microorganisms.
It is always important to cool the inoculating loop before obtaining the bacterial sample due to the high heat in the loop could kill the bacteria if they touch our loop. The Bacteria will might be the versatile in the nature, but they cannot be handle the 400 ° hot metal loop.
If we pick up the organism with the hot tool, the cells is to be killed. To the cool loop or the needle fast, place on section of the agar that will uninoculated and at least different from the area .
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an experimental plot of ln(k) vs. 1/t is obtained in lab for a reaction. the slope of the best-fit line for the graph is -4755 k. what is the value of the activation energy for the reaction in kj/mol?
The activation energy for the reaction in kJ/mol can be calculated from the slope of the best-fit line for the graph.
The equation for calculating the activation energy is: Ea = -slope x R, where R is the ideal gas constant. Plugging in the slope of -4755 K and the ideal gas constant of 8.314 J/mol K gives an activation energy of -39,092 kJ/mol.
The activation energy of a reaction is an important factor in determining the rate at which the reaction occurs. It is typically measured in kJ/mol and is the minimum amount of energy required for the reaction to take place. The higher the activation energy, the slower the reaction will be.
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if a 0.50 m solution of k2so4 is slowly poured into a beaker containing 0.25 m barium nitrate and 0.30 m lead (ii) nitrate at 25o c, what will be the first precipitate that forms? ksp for barium sulfate is 1.1 x 10-10 and ksp for lead (ii) sulfate is 1.6 x 10-8 .
Barium sulfate is firstly precipitate because Ksp is less than Ksp of lead sulfate.
The solubility product (Ksp) is a constant obtained from the product of the concentrations of poorly soluble ions raised to the power of the ionization equilibrium reaction coefficient.
Ksp for barium sulfate = 1.1 x 10⁻¹⁰
Ksp for lead (ii) sulfate = 1.6 x 10⁻⁸
Reaction takes:
BaSO₄ → Ba²⁺ + SO₄²⁻
[SO₄²⁻] = Ksp/[BaSO₄]
[SO₄²⁻] = 1.1 x 10⁻¹⁰/0.30
[SO₄²⁻] = 3.7 x 10⁻¹⁰
Now
PbSO₄ → Pb²⁺ + SO₄²⁻
[SO₄²⁻] = Ksp/[Pb²⁺]
[SO₄²⁻] = 1.6 x 10⁻⁸/0.25
[SO₄²⁻] = 6.4 x 10⁻⁸
So according to the above calculation, we may Calculation: BaSO₄ will be the first precipitate that forms, and [SO₄²⁻] will reach 3.7 x 10⁻¹⁰ M before it reaches 6.4 x 10⁻⁸ M.
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11. What state is this substance in at 100 degrees, and how do you know?
The boiling point is the temperature at which liquids begin to boil.The temperature stays constant as the liquid begins to boil until all of the liquid has been transformed into a gas.Water typically boils at a temperature of 100oC.
What does the substance look like at 100 C? The boiling point is that temperature.Once the liquid begins to boil, the temperature doesn't change until all of the liquid has been transformed into a gas.Water normally reaches its boiling point at 100oC.If the melting and boiling points of an object are known, its state at a particular temperature can be predicted.How to solve this is outlined in the table.The temperature at which oxygen melts and boils is both -218°C.VAPORIZATION .Water molecules become dissociated from the forces holding them together in the liquid state when it reaches its boiling point of 100oC.As a result, the liquid turns into a gas and is vaporized.To learn more about boiling point refer
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what mass of sucrose (c12h22o11) should be combined with 501 g of water to make a solution with an osmotic pressure of 8.55 atm at 300 k ? the density of the solution is 1.08 g/ml.
Approximately 495 g of sucrose (C12H22O11) is needed to be combined with 501 g of water to make a solution with an osmotic pressure of 8.55 atm at 300 K.
To calculate the mass of sucrose needed to make a solution with an osmotic pressure of 8.55 atm at 300 K, we can use the Van't Hoff equation:
Π = i * R * T * C
Where Π is the osmotic pressure, i is the van't Hoff factor (number of particles produced from each molecule of solute in solution), R is the gas constant (8.31 J/mol*K), T is the temperature (300 K), and C is the concentration of the solute in mol/L.
Since the density of the solution is given as 1.08 g/ml, we can convert it to concentration in mol/L:
C = m/V = (m/V) * (V/n) = (m/V) * (n/M) = (m/V) * (n/M)
C = (mass of solute / volume of solution) * (number of moles / molar mass of solute)
Let's assume the mass of sucrose needed is m.
C = (m / (501 g + m)) * (n / 342 g/mol)
Π = i * R * T * (m / (501 g + m)) * (n / 342 g/mol)
Solving for m, we get:
m = (Π * (501 g + m) * 342 g/mol) / (i * R * T)
m = (8.55 atm * (501 g + m) * 342 g/mol) / (8.31 J/mol*K * 300 K)
The mass of sucrose needed is approximately 495 g.
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An energy bill indicates that the customer used 1373 kWh in July. 1kWh=3. 60×106J.
How many joules did the customer use?
The customer used 4,932,190,000 joules in July. This can be calculated by multiplying 1kWh (3.60 x 10^6 J) by the number of kWh used (1373 kWh), which equals 4,932,190,000 J.
The amount of energy that is consumed is determined by the amount of electricity used. 1 kilowatt hour (kWh) is equal to 3.6 megajoules (MJ) of energy. This means that for every kWh consumed, 3.6 MJ of energy is used. This energy can be used to power a variety of appliances and devices, from lights to air conditioners and more. The amount of energy that is consumed is also affected by the efficiency of the appliances and devices being used.
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at the ph of most body fluids, which functional group will lose a proton (h ion) and whichfunctional group will accept a proton?
In most body fluids, the pH is around 7.4, which is slightly basic. At this pH, the functional group that will lose a proton (H+) is the acidic functional group, such as a carboxylic acid (-COOH) or a sulfonic acid (-SO3H). These functional groups are protonated at a low pH, meaning they have a hydrogen ion (H+) attached to them.
When the pH increases to 7.4, the H+ ion will detach from the acidic functional group, resulting in the formation of a negatively charged species called the conjugate base.On the other hand, the basic functional group, such as an amine (-NH2), will tend to accept a proton (H+) at a pH of 7.4. This will result in the formation of a positively charged species called the protonated amine.
It's important to note that the pH of body fluids can vary in different parts of the body, and the precise pKa values of specific functional groups can also affect their behavior. Additionally, the specific chemical environment and the presence of other compounds can also influence the protonation of functional groups in body fluids
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suppose two -l tanks are to be filled separately with the gases helium and hydrogen. what mass of each gas is needed to produce a pressure of atm in its respective tank at ?
The mass of each gas is needed to produce the pressure of 135 atm in the respective tank at 24 °C is mass of helium = 4426.92 g and the mass of hydrogen gas = 2213.46 g
The Pressure = 135 atm
The Temperature = 24 °C = 297.15 K
The Volume = 200 L
The Number of moles = ?
The ideal gas equation is expressed as:
PV = nRT
where,
P is the pressure
V is the volume
n is the number of moles
T is the temperature
R is Gas constant having value = 0.082 L.atm/K.mol
135 atm × 200 L = n × 0.082 L.atm/K.mol × 297.15 K
n = 1106.73 moles
The molar mass of helium gas = 4 g/mol
The molar mass of hydrogen gas = 2 g/mol
The mass of hydrogen = moles × molar mass
= 1106.73 × 2
= 2213.46 g
The mass of helium = moles × molar mass
= 1106.73 × 4
= 4426.92 g
This question is incomplete, the complete question is :
Suppose two 200.0-L tanks are to be filled separately with the gases helium and hydrogen. What mass of each gas is needed to produce a pressure of 135 atm in its respective tank at 24 °C?
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what is the entropy change of the reaction below at 298k and 1 atm pressure? n2(g) 3h2(g) ----> 2nh3(g) s(j/mol x k) 191.5 130.6 192.3
The entropy change of the reaction at 298K and 1 atm pressure is -198.7 J/K. This is calculated by subtracting the entropy of the reactants (191.5 + 130.6 = 322.1 J/K) from the entropy of the products (192.3 J/K), resulting in a change in entropy of -198.7 J/K.
The entropy change of a reaction is an important thermodynamic property that can be used to determine the spontaneity of a process. Entropy is a measure of the disorder or randomness of a system, and a reaction's entropy change is the difference between the entropy of the reactants and the entropy of the products. Generally, an exothermic reaction (in which more energy is released than is required for activation) will have a negative entropy change, indicating a decrease in disorder.
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HELP ASAP. Due at 11:59 pm ET.
Spectator ions are dissolved ions present in double replacement reactions which produce a precipitate that are not part of the precipitate.The spectator ions in the redox reaction are Na+ and NO₃⁻.
What are spectator ions ?A spectator ion is an ion that is present in solution both before and after a chemical reaction but does not participate in it. The net ionic equation is a chemical equation that only depicts the elements, compounds, and ions that are directly involved in the chemical reaction.
When NaCl and AgNO3 aqueous solutions are combined, four different ions move around in the water. They are the ions Na+, Cl-, Ag+, and NO3 -.
Thus, The spectator ions in the redox reaction are Na+ and NO₃⁻.
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What type of reaction takes place between methane and chlorine
Answer:
Substitution reaction
Explanation:
Methane (CH4) on reaction with Chlorine (Cl2) undergoes substitution reaction.
CH4+Cl2 -----------> CH3Cl+HCl is the reaction
what does this difference imply about their ionization energies? match the words in the left column to the appropriate blanks in the sentences on the right. make certain each sentence is complete before submitting your answer.
1. A higher ionization energy implies that it takes more energy to remove an electron from an atom.
2. A lower ionization energy implies that it takes less energy to remove an electron from an atom.
What is ionization energy ?Ionization energy is the amount of energy required to remove an electron from an atom or molecule. It is a measure of the strength of an atom's or molecule's bond with its electrons. The ionization energy of an element is usually reported in electron volts (eV). Ionization energy is the energy required to remove the most loosely bound electron, the valence electron, from an isolated gaseous atom to form a cation. It is dependent on the atomic number, and increases across the periodic table. It is also affected by the nuclear charge and the number of electrons in the atom.
Left Column: Higher, Lower
Higher ionization energies indicate that the atom is more strongly attracted to its electrons, making it harder to remove an electron. Lower ionization energies indicate that the atom is less strongly attracted to its electrons, making it easier to remove an electron.
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what force is caused at transform boundaries
colligative properties depend only on solute concentration; the identity of the solute is not important. t/f
The statement, "colligative properties depend only on solute concentration; the identity of the solute is not important" is true.
Generally, colligative properties are defined as the properties of solutions that depend only on the total number of soluble particles ( which includes molecules or ions), and not on nature of solute particles present in the solution are known as Colligative properties.
Alternatively also colligative properties of solutions can be defined as the properties that depend upon the concentration of solute molecules or ions, but not upon the identity of the solute. Colligative properties usually includes vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.
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the rutherford experiment, in which a thin gold foil was bombarded with alpha particles (helium nuclei) showed that:
The Rutherford Experiment showed that the bulk of atom was concentrated in a tiny nucleus.
The Rutherford Experiment was an experiment conducted by Ernest Rutherford in 1909, in which he bombarded a thin sheet of gold foil with alpha particles ( helium nuclei).
The experiment showed that the bulk of the atom was concentrated in a tiny nucleus, which was composed of positively charged particles, while the vast majority of the atom was empty space. This was contrary to the then prevailing belief that the atoms were solid and homogeneous.
The experiment also showed that the nuclear charge was constant, something that was later confirmed by other experiments.
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The correct question is-
What showed the Rutherford experiment ?
How many moles of copper are in 8 x 10^24 atoms of copper?
13.2 moles of copper are in 8 x 10^24 atoms of copper.
What does Avogadro's number mean?
We may determine the number of particles in 1 mole (or mol) of a substance using Avogadro's number. These particles can be atoms, molecules, or electrons. Avogadro's number is equivalent to around 6.022140857*10^23 mol1. Depending on the substance and the nature of the reaction, the units could be electrons, atoms, ions, or molecules.
The ratio of a substance's given mass in a chemical reaction to the mass of one mole of that material is the number of moles of that substance. A mole of any substance is equal to 6.023 *10^23, or Avogadro's number. Additionally, it is employed to express concentration measurements like mole per litre and molecular weight.
No of moles of copper will be 8*10^24 / 6.023*10^23
i.e. 13.2 moles of copper
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the process of physical weathering and erosion shape earth's landforms by:
A. Expanding the elevation of earths surface.
B. Decreasing the elevation of earths surface.
C. Changing the composition of earths surface.
D. Increasing rock layers near earths surface.
The process of physical weathering and erosion shape earth's landforms by decreasing the elevation of earths surface. Option B
What is physical weathering?Physical weathering, also known as mechanical weathering, is the breaking down of rocks, soils and minerals into smaller fragments due to physical processes such as freeze-thaw cycles, exfoliation, abrasion and salt crystal growth. These processes do not change the chemical composition of the material, but rather alter its physical structure and size.
This is one pf the ways that the rock can be able to break down.
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If the caffeine concentration in a particular brand of soda is 3.91 mg/oz, drinking how many cans of soda would be lethal?
Assume that 10.0 g of caffeine is a lethal dose, and there are 12 oz in a can.
Based on its caffeine concentration, the number of soda cans that would be lethal for the person drinking the soda is 131 cans of soda.
What is caffeine toxicity?Caffeine toxicity produces symptoms such as:
Headache, dizziness, anxiety, agitation, trembling, tingling in the perioral region and in the extremities, disorientation, psychosis, and seizures are all symptoms of the central nervous system (CNS).
The mass of caffeine in a drinking can of soda is 3.91 mg/oz * 12 = 46.92
The number of cans of soda that will contain 10.0 g of caffeine is calculated as follows:
10.0 g of caffeine = 10 * 1000 mg
10.0 g of caffeine = 10000 mg
The number of cans that will be lethal = 10000 / 46.92
The number of cans that will be lethal = 213 cans of soda
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