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A gas is at one atmospheric pressure with a volume 800 ${cm}^{3}$ . When 100 J of heat is supplied to the gas, it expands to 1 litre at constant pressure. The change in its intemal energy is

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80 J

-80 J

20 J

-20 J

answer is A.

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Detailed Solution

Work done by the gas, at constant pressure:

$∆ W = P ∆ V$ $= (1.01 \times 10^{5} {Nm}^{- 2}) (1000 - 800) \times 10^{- 6} m^{3} ≃ 20 J$

$∆ U = ∆ Q - ∆ W = 100 J - 20 J = 80 J$

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