Question

What is the value of volume coefficient for ideal gas?

Answer 1

The temperature drop of a gas divided by its pressure drop under constantenthalpy conditions is called the Joule-Thomson coefficient (JTC) of the gas. The JTC of an ideal gas is equal to zero since its enthalpy depends on only temperature.

Answer 2

Considering the gas to be ideal,we use pv=nRT

Let's assume volume expansion coefficient of gas to be a

So a=(1/v)(dv/dT). (Equation 1)

Considering pressure to be constant,let's differentiate ideal gas equation wrt to T

So we get p(dv/dT)=nR

Hence dv/dT=nR/p (equation 2)

Substitute equation 2 in equation 1

And eleminate 1/v in equation 1 using the ideal gas equation

So final answer is a=1/T(where a is volume expansion coffecient)