Question

Derive idealgas equation for n mole of an ideal gas

Answer 1

There are several ways to derive the Ideal Gas Law, but the simplest way is to use the three simple gas laws.

AVOGADRO'S LAW states the volume of a gas is directly proportional to the number of moles.

V ∝ n

BOYLE'S LAW states 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 get

V ∝ nT/P

We covert the proportionality to an equality

V = knT/P

We replace k with the universal gas constant R and get

V = nRT/P

This can be rearranged to give the IDEAL GAS LAW

PV = nRT

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