Verified Solution • 2025–26 Session moderate

QJEEM19Ph9604: JEE Main 2019 Physics - Class 11 JEEM19Ph9604 Solution: A 15 g mass of nitrogen gas is enclosed in a vessel at a…

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

Multiple Choice Options

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

Step-by-Step Verified Solution

We know,

Vrms ∝ T

So, to make Vrms double we have to make temperature 4 times.

∴   Final temperature = 300 × 4 = 1200 K

As N2 gas present in the closed vessel

So it is a isochoric process.

∴   Q = nCv Δ T

= 1528×(52R)(1200−300)

= 10000 J

= 10 kJ

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring