question_answer

A container with insulating walls is divided into equal parts by a partition fitted with a valve. One part is filled with an ideal gas at a pressure P and temperature T, whereas the other part is completely evacuated. If the valve is suddenly opened, the pressure and temperature of the gas will be:     AIEEE  Solved  Paper (Held On 11 May  2011)

A) \[\frac{P}{2},\frac{T}{2}\]

B) \[P,T\]

C) \[P,\frac{T}{2}\]

D) \[\frac{P}{2},T\]

Correct Answer: D

Solution :

                                  It is the free expansion So, T remain constant \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] \[P\frac{V}{2}={{P}_{2}}(V)\] \[{{P}_{2}}=\left( \frac{P}{2} \right).\]