To draw a Lewis structure for SO2, we first need to determine the number of valence electrons in each atom. Sulfur has 6 valence electrons and each oxygen has 6 valence electrons, for a total of 18 valence electrons.
We place the sulfur atom in the centre, surrounded by the two oxygen atoms. Each oxygen atom forms a single bond with the sulfur atom, using up 4 of the 18 valence electrons. This leaves 14 valence electrons.
We then distribute the remaining electrons as unshared pairs on the oxygen atoms, as they have the highest electronegativity. Each oxygen atom has 2 unshared pairs of electrons. This fills the octet for each oxygen atom but leaves the sulfur atom with only 6 valence electrons.
To satisfy the octet rule for the sulfur atom, we can convert one of the oxygen-sulfur single bonds into a double bond, using up 2 more valence electrons and giving the sulfur atom a total of 8 valence electrons.
Therefore, the number of unshared pairs on the central S atom is 0. The central S atom forms 2 single bonds and 1 double bond. The Lewis structure for SO2 has the central S atom obeying the octet rule by forming 2 single bonds and 1 double bond with the surrounding O atoms. The central S atom has 0 unshared pairs of electrons.
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A 1. 80 m libr solution in acetonitrile, ch3cn, has a density of 0. 826 g/ml. What is the mole fraction of libr? (form. Wts. : libr = 86. 85, ch3cn = 41. 05).
The mole fraction of LiBr is 0.8946
Calculations for LiBr's mole fraction are as follows:We are aware that the mole fraction or molar fraction is defined as the amount of a constituent (expressed in moles), ni, divided by the total amount of all the elements in the mixture (also indicated in moles, ntotal).
mole fraction = n/n overall
first we should calculate hw many gram the solution from the density
assume the volume is 1 L
so.
density = mass solution/ volume solvent
0.826 g/ml = mass/ 100mL
mass= 82.6 g
so the mole of the solution is
mole = mass/ mass molar
mole solution = 82.6 g / 41.05g/ mole = 2.012 mole
Then we can find the mole of LiBr from the concentration
molar= moles x volume
1.8 M = moles x 1 L
moles LiBr = 1.8 moles
thus,
mole fraction = n/ n total
mole fraction = 1.8/ 2.012 = 0.8946
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Find the amount of negative charge in one mole of oxygen gas, O2.
Since there are 6.022 1023 molecules in 1 mole of oxygen (O2), it has a mass of 32 grams.
One mole of oxygen gas is equal to how many molecules of oxygen gas?One mole of oxygen gas, with the formula O2, weighs 32 g and includes 6.02 x 1023 molecules of oxygen, but also contains 12.04 x 1023 (2 x 6.02 x 1023) atoms of oxygen, since each molecule of oxygen contains two oxygen atoms.Since there are 6.022 1023 molecules in 1 mole of oxygen (O2), it has a mass of 32 grams.One mole of oxygen weighs 15.998 grams, whereas one mole of hydrogen weighs 1.008 grams.Since there are 6.022 1023 molecules in 1 mole of oxygen (O2), it has a mass of 32 grams.To learn more about oxygen refer to:
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The amount of negative charge in one mole of oxygen gas, [tex]O_{2}[/tex] is 9.647 x [tex]10^{14}[/tex] coulomb.
One mole of oxygen gas is equal to how many molecules of oxygen gas?One mole of oxygen gas, with the formula O2, weighs 32 g and includes 6.02 x [tex]10^{23}[/tex] molecules of oxygen, but also contains 12.04 x [tex]10^{23}[/tex] (2 x 6.02 x [tex]10^{23}[/tex]) atoms of oxygen, since each molecule of oxygen contains two oxygen atoms.
Since there are 6.022 1023 molecules in 1 mole of oxygen ([tex]O_{2}[/tex]), it has a mass of 32 grams. One mole of oxygen weighs 15.998 grams, whereas one mole of hydrogen weighs 1.008 grams. Since there are 6.022 1023 molecules in 1 mole of oxygen ([tex]O_{2}[/tex]), it has a mass of 32 grams.
Determination of negative charge:Mass of 1 mole of electrons:
9.10 x [tex]10^{13}[/tex] × 6.023× [tex]10^{23}[/tex] 5.486× [tex]10^{-7}[/tex] kg
Charge of 1 mole of electrons:
1.602× [tex]10^{-19}[/tex] × 6.023× [tex]10^{23}[/tex] = 9.647× [tex]10^{4}[/tex] coulomb
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What is an ionic bond Mcq?
Ionic bonds, also known as electrovalent bonds, are a type of linkage created in a chemical molecule by the electrostatic attraction of ions with opposing charges.
When the valence electrons of one atom are permanently transferred to another atom, a bond of this kind is created. If an atom receives electrons, it becomes a charged ion, but if it loses them, it becomes a positively charged ion.
Ionic or electrovalent compounds are produced via ionic bonding, and the compounds generated between nonmetals and alkali and alkaline-earth metals serve as the best examples of this type of compound.
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2 Al + 3CuCl₂ --> 2 AlCl3 + 3 Cu
How many grams of Cu is produced when you start with 5.5 g of Al?
Remember to round all molar masses to whole numbers. (round to the tenths place)
Involves the reduction of one molecule CuI+e to Cu and the oxidation of another CuI to CuII+e. A different illustration of a disproportionation reaction is the interaction of halogens with hydroxide ions, such as Cl2(g)+2OH(aq) Cl(aq)+ClO(aq)+H2O(l).
What is the grams of Al?One mole of aluminium weighs 26.982 g, which may be found on the periodic table to determine the atomic mass and the number of grammes per mole.
The chemical name for aluminium is Al. 26.98 g/mol is the molar mass. The elemental form of metallic aluminium is present (the most fundamental form is the elemental form, which is expressed in the periodic table). We can use the formula 2(n2) because the atomic number of aluminium is 13.
Reaction to displacement This reaction is a synthesis since it involves the combination of two reactants (Al and O2) to produce a single product, Al2O3. Utilize all of the digits associated with the atomic weights as listed on their periodic table. Use the resulting molar mass after adding them all up. Avoid rounding the molar mass.
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For the balanced equation shown below,
2N₂O5 → 4NO2 + O₂
how many moles of NO2 will react with 0.8861 moles of N₂O5?
Answer:
This answer makes an assumption noted in the Explanation.
1.772 moles of NO2
Explanation:
The balanced equation tells us that NO2 does not react with N2O5. As written, the answer to the question is zero.
If the question is how many moles of NO2 are produced by 0.8861 moles of N2O5, then we can note that the equation promises us 4 moles NO2 per 2 moles N2O5. That's a molar ratio of 4:2 (moles NO2/moles N2O5).
(0.8861 moles N2O5)*(4:2 (moles NO2/moles N2O5)) = 1.772 moles of NO2
Show how to distinguish between 1,3-cyclohexadiene and 1,4-cyclohexadiene by ultraviolet spectroscopy.
The compounds can be distinguished via UV spectroscopy by measuring their value.1,3-pentadiene is a type of conjugated compound while 1,4-pentadiene is not conjugated.
This causes the of 1,3-pentadiene to be higher than 1,4-pentadiene allowing us to distinguish between both. Using UV spectroscopy we measure the quantity or amount of light being absorbed by the sample and compare the obtained values. Thus, 1,3-pentadiene and 1,4-pentadiene can be distinguished by comparing their values obtained by UV spectroscopy.
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This transition has a lower energy for conjugated systems like 1,3-cyclohexadiene. Since this transition has a greater energy for unconjugated systems like 1,4-cyclohexadiene, the wavelength is typically too short to be visible.
cyclohexadiene diols are excellent starting materials for the synthesis of complex natural compounds due to their inherent benefits. For the synthesis of polyhydroxylated targets such inositols, cyclitols, and carbohydrates, the diol moiety is the ideal place to start. The chemical compound cyclohexa-1,3-diene has the formula (C2H4)(CH)4. It is a flammable, colourless liquid. It has a 20 °C, D, refractive index of 1.475. Terpinene, a substance found in pine oil, is a 1,3-cyclohexadiene derivative that occurs naturally. Cyclohexane, which has the chemical formula C6H12 and is planar and cyclic, lacks delocalized pi electrons (since there are no pi bonds), and it also does not abide by Huckel's rule. As a result, it lacks fragrance.
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Which of the following forms of
Bromine has the LARGEST ionic radius?
A. Br
B. Br-
C. Br+
B. Br-
Explanation:Ionic radius is a way of measuring the size of an element or compound.
Ionic Radius
Ionic radius is defined as the distance between the nucleus of an atom and the outermost electron. In terms of the periodic table, ionic radius grows to the left and down. The largest element on the periodic table is Francium since it is the lowest element on the left side.
Effective Nuclear Charge
The ionic radius of cations (positive ions) is always smaller than the regular element. Also, the ionic radius of anions (negative ions) is always larger. This is due to effective nuclear charge. Effective nuclear charge is how attracted electrons are to the nucleus. As electrons are added, effective nuclear charge decreases as the shielding effect becomes larger. Additionally, as the negative charge increases, the positive charge has less pull. The opposite is true for cations.
Since the electrons are less attracted to the nucleus in anions, they spread out more. This causes the radius to increase. For this reason, Br- has the largest ionic radius out of the listed options.
Mario tudied how far room temperature water would purt out of a platic milk carton when 3mm hole were punched at different height from the bottom of the container
The independent variable here is the distance water traveled out of the carton.
The factors of the subject or the things that have an impact on the experiment are known as the variables of an experiment. Three different sorts of variables exist. These variables are control, independent, and dependent.
Independent variables are ones that are not under the experimenter's direct control. The experimenter can alter or regulate the dependent variables. Control variables are those that don't change or are constrained during the experiment.
The carbon's journey distance is the dependent variable in this situation when Mario studied how far room temperature water would spurt out of a plastic milk carton when 3mm holes were punched at different heights from the bottom of the container.
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The molar mass of cu is 63. 5 g/mol. The molar mass of ag is 107. 9 g/mol. What mass, in grams, of ag is produced from a reaction of 31. 75 g of cu? 26. 95 grams 107. 9 grams 215. 91 grams 431. 82 grams.
The correct answer is 107.9 g of Ag is produced from a reaction of 31. 75 gram of Copper.
How to calculate The Molar Mass?Molar mass of a substance is the mass in grams of one mole of the compound. A mole is the measurement of the number of things, such as atoms, molecules, and ions, that are present in a substance. Any material has 6.022 x 1023 molecules in a mole, it is known as Avogadro's number . The mole is used to determine the size of the tiniest entities quantitatively, just as we use a standard value to quantify many things, such as 1 dozen = 12 items.
Formula - Molar mass = mass in grams/mole = g/mol
Molar mass of a substance can be calculated as:
Given,
n = W/M, where
W = required mass
M= molar mas
Given chemical reaction is:
Cu + 2AgNO₃ → Cu(NO₃)₂ + 2Ag
From the stoichiometry of the reaction,
1 mole of Cu = produce 2 moles of Ag
Given mass of Cu = 31.75g
Molar mass of Cu = 63.5g/mol
Moles of Cu = 31.75g / 63.5g/mol = 0.5 moles
0.5 moles of Cu = produce 2×0.5 = 1 mole of Ag
Molar mass of Ag = 107.9g/mol
Required mass of Ag = 1mol × 107.9g/mol = 107.9 g
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As an animal grows, its mass increases. The matter that makes up this new mass comes mostly from
As an animal grows, its mass increases. The matter that makes up this new mass comes mostly from the food that the animal consumes.
What is matter?Matter in chemistry, is defined as any kind of substance that has mass and occupies space that means it has volume .Matter is composed up of atoms which may or not be of same type.
Atoms are further made up of sub atomic particles which are the protons ,neutrons and the electrons .The matter can exist in various states such as solids, liquids and gases depending on the conditions of temperature and pressure.
The states of matter are inter convertible into each other by changing the parameters of temperature and pressure.
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I need help with this question.
When pipes leak, the environment's air, water, soil, and climate might be harmed. When there is a lot of rain and flooding, pipes that span rivers and streams are more likely to burst.
What are the advantages and disadvantages of drilling?Acid rain, deteriorating water quality, groundwater contamination, and the greenhouse effect's intensification are only a few significant environmental effects. Aside from destroying ecosystems that, in some cases, may be unique, the oil and gas industry may also be a factor in the decline of biodiversity. Drilling and milling machines have both advantages and drawbacks.
Benefits: accurate points, good feed control, and challenging to roll. Retraction's shortcomings include its lack of flexibility and inability to process large or deep holes. Furthermore, methane, a greenhouse gas 21 times more potent than carbon dioxide, is released in enormous quantities by the oil and gas sector. In total, the industry is to blame for 3.8% of all greenhouse gases, or 38% of all methane emissions in the United States.
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How many oxygen atoms are there in 5.00 moles of MgSO4?
There are 112 oxygen atoms in 5.00 moles of MgSO4. This is because MgSO4 is composed of 1 mole of magnesium (Mg), 1 mole of sulfur (S), and 4 moles of oxygen (O).
What is composed?
Composed is a term used to describe the process of creating something, usually through artistic means. It can be used to refer to writing a song, painting a picture, or composing a poem. It can also refer to the creation of a musical composition or arrangement, either by an individual or as part of a team.
Therefore, if there are 5.00 moles of MgSO4, there would be 4 x 5.00 = 20 moles of oxygen, and since there are 6.02 x 10^23 atoms per mole, there would be 20 x 6.02 x 10^23 = 1.204 x 10^25 oxygen atoms.
Composed can also refer to the arrangement of elements in a piece of art or design, or the overall structure of a work. In some cases, the term may be used to refer to the creative process of planning and assembling a work, such as a book, movie, or painting.
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What mass of MnO2 is produced when 445 grams of H₂O are reacted?
H₂O + 2MnO4 + Br→ BrO3 + 2MnO₂ + 2OH-
5,200 g
4,300 g
0.430 g
8,600 g
When 445 kilograms of water are reacted, 102.94 or 103 grams of MnO2 mass are formed.
What is mass?A bodily lump is referred to in medicine. It could be brought on by an immunological response, a cyst, hormonal abnormalities, or aberrant cell growth. A mass could either be benign (not cancerous) or malignant (cancer).
Does mass imply matter?Simply said, mass is a method of determining that however much material seems to be present in something like a body. Matter is anything with both weight and volume.
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Answer: 4,300 g
Explanation:
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Select the single best answer.
Predict the shape of XeF3+.
a. tetrahedral
b. seesaw
c. T-shaped
d. trigonal pyramidal
e. trigonal planar
f. trigonal bipyramidal
Answer:
C. T shaped
Explanation:
had this last year
The shape of XeF3+ is T-shaped. Therefore, option C is correct.
What is molecular geometry ?The three-dimensional configuration of the atoms that make up a molecule is known as molecular geometry. It provides data on the molecule's overall shape as well as bond lengths, bond angles, torsional angles, and any other geometrical aspects that affect each atom's location.
The structure that results has a Y-shaped geometry and an electrical structure of b22 a10. The T-shaped and Y-shaped structures of XeF3- are therefore a Jahn-Teller pair of states deriving from the identical D3h ion, as can be shown by this molecular orbital image.
The geometry of XeF3+ is T-shaped because the centre atom, Xe, is surrounded by 3 bond pairs and 2 lone pairs.
Thus, option C is correct.
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Define acid and what is the highest pH
Answer:
A substance with particular chemical properties including turning litmus red, neutralizing alkalis, and dissolving some metals; typically, a corrosive or sour-tasting liquid of this kind. Often contrasted with alkali and base.
The highest pH is 1
Hope this helps:)
If I have 3.7 moles of MgSO4 and 4.8 moles of NH3 which one is the limiting reactant?
Answer:
To determine the limiting reactant, you need to compare the amount of each reactant with the amount required to react completely with the other reactant. The reactant that runs out first is the limiting reactant.
In this case, the balanced equation for the reaction between MgSO4 and NH3 is:
MgSO4 + 2 NH3 → Mg(NH2)2SO4
From the balanced equation, we can see that 1 mole of MgSO4 reacts with 2 moles of NH3. Therefore, 3.7 moles of MgSO4 will react with (3.7 moles)(2 moles NH3/1 mole MgSO4) = 7.4 moles of NH3.
4.8 moles of NH3 is less than 7.4 moles, so NH3 is the limiting reactant.
Uday Tahlan
As nac2h3o2(s) is stirred into water and dissolves, the electrical conductivity of the solution.
As nac2h3o2(s) is stirred into water and dissolves, the electrical conductivity of the solution remains the same.
What is Electrical conductivity of the solution ?The ability of an aqueous solution to convey an electrical current is gauged by its conductivity. Since ions are responsible for carrying the current, the conductivity rises as ion concentration, mobility, and water temperature rise in a solution. Ionic strength is connected to conductivity measurements. But this isn't a qualitative experiment (that is, it is not known which ions are present). The electrical calculation for resistance, which is stated in, is the opposite of conductivity
Applications Of Elecctrical conductivity sensors to determine the water quality:The process of mineralization, also known as total dissolved solids. Information on the total dissolved solids is used to calculate the overall ionic effect in a water supply. The amount of ions that are present in water can frequently alter certain physiological effects on plants and animals. Quickly noting variations or changes in naturally occurring water and wastewater.Calculating the required sample size for additional chemical analysis.Calculating the dosages of chemicals or other treatment agents to be administered to the water sample.To know more about Eletrical conductivity of Solutions,Refer to:
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The percentages of propane and butane in LPG fuel change at different times of the year. In the winter, LPG fuel contains a higher percentage of propane. In the summer, LPG fuel contains a higher percentage of butane. Suggest why fuel suppliers change the composition.
The lower boiling point of propane makes it better in winter compared to butane.
What is LPG?The term LPG stands for liquified petroleum gases. It is one of the kinds of the gases that we can be able to use as fuel. We have to know that the gases that are used as fuel are the gases that are able to burn very well as this is key in the use of the fuel.
In the winter, we would need to use a gas that has a much lower boiling point and this is why in this case, the propane would be found to be better than butane due to its lower boiling point.
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The air pressure at the top of Mount
Everest is about 199 mm Hg.
What is the pressure on Everest in
atmospheres?
[?] atm
The air pressure at the top of Mount Everest in atmospheres is equal to 0.2618 atm.
What is pressure?In Science, pressure can be defined as a measure of the force exerted per unit area of an object or physical body. This ultimately implies that, pressure is usually measured in Newton per meter square and calculated by using this formula:
P = F/A
Where:
P represents the pressure.F represents the force.A represents the area.Generally speaking, air pressure can be measured in other units such as the following:
PascalAtmosphereMillimeters of mercury (mm Hg).In order to convert the value of pressure in millimeters of mercury (mm Hg) to atmosphere, we would divide by 760 as follows:
Air pressure = 199/760
Air pressure = 0.2618 atm.
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Answer: 0.261842
Explanation:
During a solar eclipse, it suddenly gets dark for a few moments, even though it is day
time. This is because
O You are under the umbra
O You are under the penumbra
O The moon is in the new moon phase
O The sun is in it's darkened phase
Answer:
The sun is it's darkened phase
Exactly 14.5 moles of co2 are produced from burning how many moles of ch4 in excess oxygen?
Answer:
14.5 moles of CH4
Explanation:
There is 14.5 moles of carbon in the product CO2....there has to be 14.5 moles of carbon in the reactant CH4
14.5 moles
: Draw the Lewis structure for a carbon monosulfide (CS) molecule:
There are 4 valence electrons in an atom of C and 6 valence electrons in an atom of S. So, there is a total of 10 valence electrons in the CS molecule (6+4=10).
So, the carbon and sulfur form a triple bond in this compound so as to complete the octet of both C and S in the CS molecule. Also, there is an electron pair on both C and S.
Formal charge = valence electrons - (number of bond pairs + number of electrons present as lone pair)
The formal charge on C = 4 - (3 + 2) = 4 - 5 = -1
The formal charge on S = 6 - (3 + 2) = 6 - 5 = +1
The Lewis structure of the CS molecule is shown below:
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skeletal structure for 5-isopentyldecane
Isopentane, commonly known as methyl butane or 2-methylbutane, is an alkane with a branched chain and five carbon atoms. Its chemical formula is C 5H 12 or CH(CH).
At normal temperature and pressure, isopentane is a highly flammable and volatile liquid. Additionally, under normal circumstances, it is the least dense liquid. [Reference needed] Isopentane has a standard boiling point that is only a few degrees above room temperature, therefore on a warm day, it will easily boil and evaporate. To achieve a liquid bath temperature of 160 °C, isopentane and liquid nitrogen are frequently utilized. Isopentane is a substantial component of natural gasoline, however, it normally only makes up 1% or less of natural gas.
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Identify the conjugate acid for each base.
conjugate acid of H2PO−4 :
inconjugate acid of SO2−4 :
conjugate acid of NH3 :
the conjugate acid for each base is conjugate acid of H2PO−4 : HPO4^2-, conjugate acid of SO2−4 : HSO4-, conjugate acid of NH3 : NH4+
A conjugate acid-base pair is a pair of substances that differ by only a proton. An acid is a substance that donates a proton (H+) in a chemical reaction, while a base is a substance that accepts a proton. When an acid loses a proton, it becomes its conjugate base, and when a base gains a proton, it becomes its conjugate acid.For example, the conjugate acid of the base NH3 is NH4+ and the conjugate acid of the base H2O is H3O+. The conjugate acid and the base are in equilibrium with each other, and the acidity constant (pKb) of the base is related to the basicity constant (pKa) of the conjugate acid. In acid-base reactions, the acid donates a proton to form its conjugate base, and the base accepts a proton to form its conjugate acid.
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calculate the frequency of radiation with a wavelength of 492 nm.
The frequency of radiation with a wavelength of 492 nm is
6.09 x 10^14 Hz.
What is the meaning of frequency of radiation of wavelength?
Frequency of radiation of wavelength is a measure of how often a particular wavelength of radiation occurs. It is measured in Hertz (Hz) and is equal to the number of wave cycles per second. Wavelength is the distance from one wave crest to the next, so frequency is related to the speed of the wave. A higher frequency corresponds to a shorter wavelength, and a lower frequency corresponds to a longer wavelength.
λ= 480nm =480×10−9m [∵1nm=10−9m]
c=3×108m/sec
Frequency, v=λ/c
=[tex]\frac{3*10^{8}ms^{-1} }{480*10^{-9}m }[/tex]
= [tex]6.09*10^{14}s^{-1}[/tex]
=[tex]6.09*10^{14} Hz.[/tex]
Therefore, 6.09 x 10^14 Hz is the answer.
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Return all unused chemicals to their original
containers.
1. T
2. F
Answer: F
Explanation:
How can the driver of a car change the rate of accelera- tion? List as many ways as you can.
By changing gear and according to the brakes applied to the car.
What is acceleration?Acceleration is the rate of change of the velocity of an object with respect to time.
There are three types of accelerated motions such as :
Uniform accelerationNon-uniform accelerationAverage accelerationTherefore, In a car you could accelerate by hitting the gas or the brakes either of which would cause a change in speed. But you could also use the steering wheel to turn which would change your direction of motion. The car moves faster and faster, speed is the rate of change of position while acceleration is the rate of change of velocity.
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How can we reduce H2O steam being produced?
Situation: Pollutants from burning fossil fuels
Fossil fuels may cause water pollution because they release toxicants into the atmosphere, which is formed by air and water.
What is the relationship between fossil fuels and water pollution?The relationship between fossil fuels and water pollution is based on the fact that fossil fuels are burned to release energy which may generate contamination that affects water into the atmosphere.
Therefore, with this data, we can see that the relationship between fossil fuels and water pollution is based on the release of toxic substances and greenhouse gases during this process that affects water in the atmosphere.
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3. A 170.00 g sample of an unidentified compound contains 29.84 g sodium, 39.7 g chromium, and 72.67 g oxygen. What is the compound's empirical formula?
The resulting empirical formula is Na2CrO4.
What is empirical formula?The empirical formula of a compound is the simplest whole-number ratio of the elements it contains. To calculate the empirical formula, we must first determine the molar ratio of the elements by dividing their masses by their respective molar masses.
For sodium, the molar mass is 22.99 g/mol. Therefore, the molar ratio of sodium is 29.84 g / 22.99 g/mol = 1.30 mol.
For chromium, the molar mass is 51.99 g/mol. Therefore, the molar ratio of chromium is 39.7 g / 51.99 g/mol = 0.76 mol.
For oxygen, the molar mass is 16.00 g/mol. Therefore, the molar ratio of oxygen is 72.67 g / 16.00 g/mol = 4.54 mol.
To get the empirical formula, we must divide each of the molar ratios by the smallest molar ratio, which in this case is 0.76 (for chromium). The resulting empirical formula is Na2CrO4.
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A set of chemistry exam scores are normally distributed with a mean of 70 7070 points and a standard deviation of 5 55 points. What proportion of exam scores are between 68 6868 and 73 7373 points?.
The proportion of exams scores between 68 and 73 points is 38.09%.
We must first determine the z-score for both points.
The z-score formula is:
Z-score is equal to (x-mean)/SD.
Given that in this instance:
Mean = 70
SD = 5
So, for a 68-point exam grade:
(68 - 70) / 5 is the z-score.
= –2 / 5
= –0.4
And for a 73 point exam grade:
(73 - 70) / 5 is the z-score.
= 3 / 5
= 0.6
Thus, the likelihood:
P (68 < x < 73) = P (–0.4 < z < 0.6)
Through the z-table:
P (–0.4 < z < 0.6)
= (0.5 – 0.3446) + (0.7258 – 0.5) (0.7258 – 0.5)
= 0.3809
= 38.09%
As a result, 38.09% of exam scores fall between 68 and 73 points.
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