Question

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed ν and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by(R = universal gas constant

• A. $\frac{Mv^2}{7R}$
• B. $\frac{Mv^2}{5R}$
• C. $\frac{2Mv^2}{7R}$
• D. $\frac{7Mv^2}{5R}$

Answer 1

Answer: (B)

$\frac{Mv^2}{5R}$

Answer 2

$\frac{1}{2}mv^2 = n \frac{5}{2} R \Delta T$

$⇒$ $\Delta T = \frac{mv^2}{5nR} = \frac{MV^2}{5R}$
So, correct option is (B)