Question

Consider a P-V diagram in which the path followed by one mole of perfect gas in a cylindrical container is shown in Fig. 12.9.

(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?

(c) Given the internal energy for one mole of gas at temperature T is (3/2) RT, find the heat supplied to the gas when it is taken from state 1 to 2, with V₂ = 2V₁.

Answer 1

(a) Work done by the gas (Let PV^1/2 = A)

(b) Since T = pV/nR = (A/nR)√V

Thus, T₂/T₁ = √(V₂/V₁) = √2

(c) Then, the change in internal energy