Consider a P-V diagram in which the path followed by one mole of a perfect gas in a cylindrical container is shown in the figure.

a) find the work done when the gas is taken from state 1 to state 2

b) what is the ratio of temperature T₁/T₂ if V₂ = 2V₁

Answer:

According to the question, PV^1/2 = K = constant

a) Expression for the work done for the process 1 to 2 is:

Solving the above equation, we get

b) We know that the ideal gas equation is

PV = nRT

Or, T = PV/nR