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An open vessel at $$27°C$$ is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature to which the vessel has heated is:
nRT1 = ( n - 2n/5 ) R T2
T1=27+273 = 300k
Hence upon solving we get that T2 = 500k.
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