A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27°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]

Question

A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27°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

Tardigrade Admin · Accepted Answer

Q = nCv Δ T as gas in closed vessel Q = (15/28) ×(5 × R/2) ×(4T -T) Q = 10000 J = 10 kJ

Q. A $15 g$ mass of nitrogen gas is enclosed in a vessel at a temperature $2 7^{\circ} C$ . Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about :
[Take R = 8.3 J/ K mole]

10 kJ

0.9 kJ

6 kJ

14 kJ

$Q = n C_{v} Δ T$ as gas in closed vessel
$Q = \frac{15}{28} \times \frac{5 \times R}{2} \times (4 T - T)$
$Q = 10000 J = 10 k J$

Q. A 15g mass of nitrogen gas is enclosed in a vessel at a temperature 27∘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]