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Q.

A container of volume 1m3 is divided into two equal compartments, one of which contains an ideal gas at 300 K. The other compartment is vacuum. The whole system is thermally isolated from its surroundings. The partition is removed and the gas expands to occupy the whole volume of the container. Its temperature now would be       

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a

300 K

b

100 K

c

200 K

d

250 K

answer is A.

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Detailed Solution

From 1st law of thermodynamics

ΔQ = ΔU + ΔW

while expanding in vacuum, the gas is doing no work. So ΔW = 0. Also since the container is isolated from the surroundings, ΔQ = 0

∆U=0       Uf=Ui   Tf=Ti

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