Question

derive ideal gas equation​

Answer 1

Answer:

Derivation of the Ideal Gas Equation

According to Charles' Law, When p & n are constant, the volume of a gas bears a direct relation with the Temperature. According to the Avogadro's Law, When p & T are constant, then the volume of a gas bears a direct relation with the number of moles of gas.

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