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Q.

A balloon containing an ideal gas has a volume of l0 litre and temperature of l7o. If it is heated slowly to 75"C, the work done by the gas inside the balloon is (neglect elasticity of the balloon and take atmospheric pressure as l05 Pa)

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a

100 J

b

200 J

c

250 J

d

data insufficient

answer is B.

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Detailed Solution

Since elasticity of balloon is negligible, pressure inside balloon pressure outside balloon = Patm∴ W = Patm∆V     Vin = 10 litre     VinTin= VfinTfin ⇒ Vfinal = (VinTfinalTin)litre⇒W = PatmVin(TfinalTin-1)⇒ 105×10-2(58290) = 200 J
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