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A diatomic gas of molecular mass 40g/mol is filled in a container at temperature 30°c. It is moving with velocity 200 m/s. If it is suddenly stop,the rise of the temperature of the gas is

A diatomic gas of molecular mass 40g/mol is filled in a container at temperature 30°c. It is moving with velocity 200 m/s. If it is suddenly stop,the rise of the temperature of the gas is

Grade:12th pass

2 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

From conservation of energy, work done on gas= Change in internal energy of the system

Hence\dfrac{1}{2}mv^2=nC_V\Delta T=\dfrac{m}{M_0}C_V\Delta T

\implies \Delta T=\dfrac{M_0v^2}{2C_V}=\dfrac{0.04\times 200^2}{2\dfrac{5}{2}R}\implies \Delta T=\dfrac{M_0v^2}{2C_V}=\dfrac{0.04\times 200^2}{2(\dfrac{5}{2}R)}=\dfrac{320}{R}^{\circ}
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below attached image the solution to your problem.

Thanks and Regards
645-1757_WhatsApp Image 2020-07-11 at 12.41.38 AM.jpeg

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