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5 months, 1 week ago

# 5.4 gm N2 gas is filled in closed container at temperature 27°C Find the energy of the gas when rms speed of gas molecules get doubled

5.4 gm N2 gas is filled in closed container at temperature 27°C. Find the energy of the gas when rms speed of gas molecules get doubled.

(1) 4980 J (2) 9480 J (3) 5040 J (4) 9980 J

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Answered 3 months, 1 week ago

energy of a gas = $U=\frac{nfRt}{2}$

and Root mean square velocity=$V_{rms}= \sqrt{\frac{3RT}{M}}$

when rms speed of gas molecules get doubled.

means new temperature becomes four times.

so new energy will becomes four times.

So $U_{new}=\frac{nfR(4t)}{2}$

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