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7) Derive the ideal gas eq" PV = nRT

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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