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Question

# Flask A contains H2 gas and B contains CH4 gas have equal mass and volume at 300 K and 600 K respectively. Which of the flask will have greater total kinetic energy?Assuming ideal behavior for both the gases.

A
A
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B
B
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C
Both A and B
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D
None
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Solution

## The correct option is A ALet nA be the amount of H2 and nB be the amount the CH4.Given,TA=300KTB=600KWe know that,nA=m2;nB=m16where m is the mass of the gas of two flasks A and B.∴nAnB=m2/m16=8Now, the number of molecules in these flasks are given as:NA=m2.N,NB=m16N,where N is Avogadro's constant.∴NANB=8Also, as we know that,TotalKE=KE×Numberofmolecules∴Total(KE)A=32kTANA∴Total(KE)B=32kTBNBHence,Total(KE)ATotal(KE)B=TANATBNB=300600×8=4∴Total(KE)A>Total(KE)BHence, option (A) is correct.

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