An ideal gas in a thermally insulated vessel at internal pressure = P 1 , volume = V 1 and absolute temperature = T 1 expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P 2 , V 2 and T 2 , respectively. For this expansion,
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(a,b,c)Since container is thermally insulated. So, q = 0, and it is a case of free expansion therefore W = 0 and 
So, T 1 = T 2
Also, P 1 V 1 = P 2 V 2
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