Question

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,

A
q=0
B
T2=T1
C
P2V2=P1V1
D
P2Vγ2=P1Vγ1

Solution

The correct options are A $$T_2 = T_1$$ B $$q=0$$ C $$P_2V_2 = P_1 V_1$$Since container is thermally insulated. So, q $$=$$ 0, and it is a case of free expansion, therefore, W $$=$$ 0 and $$\Delta$$E $$=$$ 0So, $$T_1 = T_2$$.Also, $$P_1 V_1 = P_2 V_2$$.Chemistry

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