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Question

The root mean square speed of 8 g of He is 300 ms1. Total kinetic energy of He gas is:

A
120 J
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B
240 J
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C
360 J
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D
None of these
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Solution

The correct option is C 360 J
We know,
root mean square velocity=3RTM
Where,
M=molar mass in kg
T=temperature
R=gas constant

300=3RT4×103
RT=120
Again, we know, total K.E. of He gas =32nRT
Here number of moles of He = 84
K.E of He gas=32×84×120 J
=360 J

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