Question

Certain amount of an ideal gas are contained in a closed vessel. The vessel is moving with a constant velocity v. The molecular mass of gas is M. The rise in temperature of the gas when the vessel is suddenly stopped is (g = C_p/C_v) -

• A. $\frac{Mv^{2}}{2R(\gamma + 1)}$
• B. $\frac{Mv^{2}(\gamma - 1)}{2R}$
• C. $\frac{Mv^{2}}{2R(\gamma + 1)}$
• D. $\frac{Mv^{2}}{2R(\gamma + 1)}$

Answer 1

Answer: (B)

$\frac{Mv^{2}(\gamma - 1)}{2R}$

Answer 2

$\frac{1}{2}$ mv² = nC_V DT Q $\begin{matrix} V = const. \end{matrix}$

Q C_V = $\frac{R}{\gamma - 1}$ or

\Delta T = \frac{MV^{2}(\gamma - 1)}{2R} \end{matrix}$$