InterviewSolution
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7) Derive the ideal gas eq" PV = nRT |
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Answer» There are several ways to derive theIdeal Gas Law, but the simplest way is to use the three simplegas laws. AVOGADRO'S LAWstates the volume of a gas is directly proportional to the number of moles.V ∝ n BOYLE'S LAWstates that the volume of a gas is inversely proportional to its pressure.V ∝ 1/P CHARLES'S LAW states that the volume of a gas is directly proportional to its Kelvin temperature.V ∝ T If we combine these laws, we getV ∝ nT/P We covert the proportionality to an equalityV = knT/P We replace k with the universal gas constant R and getV = nRT/P This can be rearranged to give the IDEAL GAS LAW PV = nRT |
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