Question

A $15\, g$ mass of nitrogen gas is enclosed in a vessel at a temperature $27^{\circ}C$. Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about : [Take R = 8.3 J/ K mole]

• A. 10 kJ
• B. 0.9 kJ
• C. 6 kJ
• D. 14 kJ

Answer 1

Answer: (A)

10 kJ

Answer 2

$Q = nC_v \Delta T$ as gas in closed vessel
$Q = \frac{15}{28} \times\frac{5 \times R}{2} \times\left(4T -T\right)$
$Q = 10000\, J = 10\, kJ$