Carbon monoxide is carried around a closed cyclic process a b c , in which b c is an isothermal process, as shown in the diagram. The gas absorbs 7000 J of heat as its temperature is increased from 300 K to 1000 K in going from a to b . The quantity of heat ejected by the gas during the process c a is

Question

Carbon monoxide is carried around a closed cyclic process a b c , in which b c is an isothermal process, as shown in the diagram. The gas absorbs 7000 J of heat as its temperature is increased from 300 K to 1000 K in going from a to b . The quantity of heat ejected by the gas during the process c a is, 4200 J, 500 J, 9000 J, 9800 J

MARKS App · Accepted Answer

Δ Q ab = + 7 0 0 0 = μ C v 1 0 0 0 - 3 0 0 ...(i) For the process c a : T a = 3 0 0 K , T c = T b = 1 0 0 0 K Δ Q ca = μ C p 3 0 0 - 1 0 0 0 = - μ C p × 7 0 0 = - μ C v + R 7 0 0 ...(ii) For carbon monoxide: T a = 3 0 0 K , T c = T h = 1 0 0 0 K Δ Q ca = μ C p 3 0 0 - 1 0 0 0 = - μ C p × 7 0 0 = - μ C v + R 7 0 0 For carbon monoxide: γ = 7 5 C v = R γ - 1 = R 7 5 - 1 = 5 R 2 ...(iii) Hence, from Eq. (i) 7 0 0 0 = μ 5 R 2 × 7 0 0 or μ R = 2 0 5 = 4 Δ Q ca = - 7 0 0 0 + 4 × 7 0 0 = - 9 8 0 0 J Negative sign shows that heat is ejected.

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