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Temperature of 5 moles of a gas is decreased by 2K at constant pressure. Indicate the correct statement

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Temperature of 5 moles of a gas is decreased by 2K at constant pressure. Indicate the correct statement

(a) Work done by gas is = 5 R

(b) Work done over the gas is = 10 R

(c) Work done by the gas = 10 R

(d) Work done = 0

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Correct answer: (b) Work done over the gas is = 10 R

Explanation:

For 5 moles of gas at temperature T,

PV1 = 5RT

For 5 moles of gas at temperature T - 2,

PV2 = 5R(T – 2)

∴ P(V2 - V1) = 5R(T – 2 – T);

PΔV = – 10R,

-PΔV = 10R

When ΔV is negative, W is + ve.

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