A fixed amount of ideal gas undergoes three different closed cycles on a…

PHYSICS · Single correct · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

A fixed amount of ideal gas undergoes three different closed cycles on a pressure–volume diagram, each beginning and ending at state S with pressure

P_s

and volume

V_s

. Cycle A: The gas traverses a rectangle in a clockwise direction with vertices at

(P_s, V_s)

(2P_s, V_s)

(2P_s, 2V_s)

, and

(P_s, 2V_s)

. Cycle B: The gas traverses the same rectangle in a counter-clockwise direction. Cycle C: The gas traverses the right triangle that connects

(P_s, V_s) \rightarrow (2P_s, V_s) \rightarrow (P_s, 2V_s) \rightarrow (P_s, V_s)

, moving clockwise. Rank the net work done BY the gas over one full cycle from greatest positive to most negative. (a)

B > C > A

(b)

C > A > B

(c)

A > C > B

(d)

A > B > C