Question

derive ideal gas equation PV=nRT

Answer 1

$\mathcal{\orange{Ideal\:Gqs\:Equation}}$

V = 1/P -------------(1) (From Boyle's Law)

V = T -------------(2) (From Charle's Law)

V = n --------------(3) (From Avogadro's Law)

From equation 1 ,2 and 3----------

V = nRT/P

PV = nRT

❣️✌️HOPE IT HELPS YOU ✌️❣️

Answer 2

Explanation:

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