JEE Advanced | 2014ThermodynamicsHard
Question
An ideal gas in a thermally insulated vessel at internal pressure = P1, volume = V1 and absolute temperature = T1 expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P2, V2 and T2, respectively. For this expansion,
Options
A.q = 0
B.T2 = T1
C.P2V2 = P1V1
D.P2V2γ = P1V1γ
Solution
Work against zero external pressure is zero and q = 0 due to insulated boundary
So, q = 0
ᐃU = 0
ᐃT = 0
∴T2 = T1
and P2V2 = P1V1
So, q = 0
ᐃU = 0
ᐃT = 0
∴T2 = T1
and P2V2 = P1V1
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