Question

A thermodynamic system goes from States (i) P,V to 2P, V (ii) P,V to P, 2V. Then what is work done in the two Cases. 

(A) Zero, PV 

(B) Zero, Zero 

(C) PV, Zero 

(D) PV, PV

Answer 1

Correct option: (A) Zero, PV

Explanation:

Work done = area under curve = P ∙ ΔV

(1) (P, V) to (2P, V) here volume is constant

∴   W = P ∙ ΔV = P × 0 = 0

(2) (P, V) to (P, 2V) hence

W = P ^2V∫_V dv = P(2V – V) = PV