Heat And Thermodynamics Ques 114

  1. A container of volume $1 m^{3}$ is divided into two equal parts by a partition. One part has an ideal gas at $300 K$ and the other part is vacuum. The whole system is thermally isolated from the surroundings. When the partition is removed, the gas expands to occupy the whole volume. Its temperature will now be ……

(1993, 1M)

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Answer:

Correct Answer: 114.300 K

Solution:

Formula:

Ideal gas law:

  1. Since, the system is insulated, $Q=0$. Other part is vacuum, therefore, work done by the gas $W$ is also zero. Hence, from first law of thermodynamics, $\Delta U=0$ i.e. temperature remains constant.


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