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Question

Two flasks A and B of equal volume, maintained at 300 K and 700 K contain equal masses of helium and nitrogen gases respectively. What is the ratio of transitional kinetic energy of the gas in flask A to that of flask B?

A
1 : 3
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B
3 : 1
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C
3 : 49
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D
None of these
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Solution

The correct option is B 3 : 1
Say, wHe=wN2=w
Then, nHe=w4; nN2=w28
KEmole=32RT
KEHe=32×R×300×w4=900Rw8
KEN2=32×R×700×w28=300Rw8
ratio=900Rw8:300Rw8=3:1

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