A heat engine having two kilomoles of an ideal monatomic gas as the working subs

Question

A heat engine having two kilomoles of an ideal monatomic gas as the working substance undergoes a reversible cycle of operations made up of the four steps shown in the following figure in which (T1, V1) = (300 K, 2 m3), (T2, V2) = (400 K, 2 m3), (T3, V3) = 400 K, 10 m3), and (T4, V4) = (300 K, 10 m3). Find:

The work done by the gas in a cycle

A heat engine having two kilomoles of an ideal monatomic gas as the working substance undergoes a reversible cycle of operations made up of the four steps shown in the following figure in which (T1, V1) = (300 K, 2 m3), (T2, V2) = (400 K, 2 m3), (T3, V3) = 400 K, 10 m3), and (T4, V4) = (300 K, 10 m3). Find: The work done by the gas in a cycle

Explanation / Answer

w12 and w34 is zero as volume change is zero /isochoric w23 = nRT ln( V3/v2) w23 = 2x 10^3 x 8.314 x400 xln10/2 w23 = 1.0704 x 10^7 J w41 = nRT ln( V1/v4) w41 = 2 x 10^3 x8.314 x 300 x ln(2/10) w41 = -8.028 x10^6 J

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