ThermodynamicsHard

Question

A thermally insulated vessel containing a gas whose molar mass is equal to 40 and ratio of specific heats is 1.5, moves with a velocity 100 m/s. Find the gas temperature increment (in oC) resulting from the sudden stoppage of the vessel.

Options

A.12
B.24
C.36
D.48

Solution

$K.E. = \Delta U \Rightarrow \frac{1}{2} \times \frac{(n \times 40)}{1000} \times (100)^{2} = n \times \frac{8.314}{(1.5 - 1)} \times \Delta T$

$\therefore\Delta T = 12.30\text{ K}$

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