Questions

A spherical balloon of volume V contains Helium gas at a pressure P. How many moles of Helium are there in the balloon if the average kinetic energy of the Helium atoms is $\bar{K}$ .

Remember concepts with our Masterclasses.

80k Users

60 mins Expert Faculty Ask Questions

3PVK−NA

PV3K−NA

PV3K−

3PV2K−NA

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is D

We know, vRMS=3kTm=3RTM=3PVmass of gas , (1)where m, M are mass of each molecule, molar mass of gas respectively.⇒12mvRMS2=3kT2=K− Also, from (1), K−=12mvRMS2=3mPV2mass of gas But, mass of gasm=N (number of molecules).⇒K−=3PV2N⇒N=3PV2K− Now, number of moles = n=NNA=3PV2K−NA

Talk to our academic expert!

Create Your Own Test
Your Topic, Your Difficulty, Your Pace

Similar Questions

Two identical containers A and B have frictionless pistons. They contain the same volume of an ideal gas at the same temperature. The mass of the gas in A is m_Aand that in B is m_B. The gas in each cylinder is now allowed to expand isothermally to double the initial volume. The change in the pressure in A and B, respectively, is $∆$ p and 1.5 $∆$ p. Then

View solution