Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The specific heats of an ideal gas at constant pressure and constant volume are 525 J kg°C-1 and 315 J kg° C-1 respectively. Its density at NTP is
PhysicsThermodynamicsJEE Main
Options:
  • A 0.64 km-3
  • B 1.20 km-3
  • C 1.75 km-3
  • D 2.62 km-3
Solution:
1022 Upvotes Verified Answer
The correct answer is: 1.75 km-3
If M is molecular mass of the gas, then from

MCp-Cv=R

M=8.31210=0.0392

If ρ is density of the gas at NTP, then mass of 1 m3of gas at NTP=ρ kg

Mass of 22.4 L (=22.4×10-3m3) of gas at NTP =ρ×22.4×10-3 kg, which is the molecular mass of the gas

 ρ×22.4×10-3=0.0392

ρ=0.039222.4×10-3=1.75 km-3

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.