17) A sample of an ideal gas is expanded 1 m3 to 3 m3 in a reversible process for which P = KV2, with K = 6 bar/m6. Work done by the gas is
(A) 5200 kJ (B) 15600 kJ (C) 52 kJ (D) 5267.6 kJ
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Answer:
The answer is - 5200 KJ.
Explanation:
∫dW = - ∫pdV
W rev = -∫ 6V^2dV
= - 6[V2^3/3 - V1^3/3]
= - 6[3^3 / 3 - 1^3/3]
= - 52.02 barm^3
= - 5200 KJ
Thus the work done by the gas is - 5200 KJ.
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