IAT (IISER) 2022 | Heat and Thermodynamics Question 4 | Physics

A monoatomic ideal gas at pressure $P$ and volume $V$ is first adiabatically compressed to volume $V / 8$ and then is allowed to expand isothermally back to its original volume. What is the final pressure of the gas?

$P$

$2 P$

$4 P$

$P / 2$

IAT (IISER) 2020

MCQ (Single Correct Answer)

-1

Two identical containers kept at the same temperature carry the same gas with different molecular mean free paths $l_1$ and $l_2$. The gas from the first container is completely transferred into the second at the same temperature. What is the molecular mean free path of the resultant mixture in the second container?

$\frac{l_1 l_2}{l_1+l_2}$

$\sqrt{l_1 l_2}$

$l_1+l_2$

$\sqrt{l_1^2+l_2^2}$

IAT (IISER) 2020

MCQ (Single Correct Answer)

-1

An ideal rigid diatomic gas undergoes expansion at constant pressure when $\Delta Q$ heat is added to it. What is the ratio of the change in the internal energy $\Delta U$ to the heat supplied $\Delta Q$ ?

$\frac{\Delta U}{\Delta Q}=\frac{3}{5}$

$\frac{\Delta U}{\Delta Q}=\frac{5}{7}$

$\frac{\Delta U}{\Delta Q}=\frac{7}{9}$

$\frac{\Delta U}{\Delta Q}=\frac{2}{3}$

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