Question

derive ideal gas equation PV

Answer 1

According to Boyle's law

V∝1/P

and According to Charle's law

V∝T

According to Avogadro's law

V∝n

Joining all the above equations we get,

V∝nT/P

V= constant nT/P

V= RnT/P

(R=General gas constant)

PV=nRT

This is called an Ideal gas equation or general gas equation.

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Answer 2

According to Boyle's law,

P ∝ 1/V (at constant temperature)

According to Charles law,

P ∝ T (at constant volume)

According to Avagadro's law,

V ∝ n (at constant pressure, temperature)

From all these laws,

P/n ∝ T/V

PV ∝ nT

PV = nRT

This is the ideal gas equation.

Where R is universal gas constant.