Question

prove that volume of a gas is directly proportional to absolute temparature of gas​

Answer 1

Answer:

kinetic theory in terms of pressure:

p=fracmnv23

Where,

m is the mass of the gas molecule

n is the number of molecules per unit volume

v is the rms speed

So, n = fracNV

Where N is the number of molecules

Substituting for n we get,

pV=fracmNv23 fracmv22=E is the kinetic energy of the molecule

Therefore, pV=frac2NE3

From ideal gas equation,

pV=muRT

Where mu=fracNNA muRT=frac2NE3 fracNRTNA=frac2NE3 E=frac3kT2