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Question: Answered & Verified by Expert
Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is
PhysicsThermodynamicsBITSATBITSAT 2014
Options:
  • A more in He gas filled balloon
  • B same in both balloons
  • C more in air filled balloon
  • D in the ratio 1: 4
Solution:
1209 Upvotes Verified Answer
The correct answer is: same in both balloons
Assuming the balloons have the same volume, as $\mathrm{pV}=\mathrm{nRT}$. If $\mathrm{P}, \mathrm{V}$ and $\mathrm{T}$ are the same, $\mathrm{n}$ the number of moles present will be the same, whether it is He or air. Hence, number of molecules per unit volume will be same in both the balloons.

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