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Question

The root mean square speed of molecules of a given mass of a gas at 27° C and 1 atmosphere pressure is 200 ms1. The root mean square speed of molecules of the gas at 127° C and 2 atmosphere pressure is x3 ms1
. The value of x will be .

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Solution

Vrms=3RT1M0

200=3R×300M0 ...........(1)

Also, x3=3R×400M0 ...............(2)

Dividing equation(1) by (2)

200x3=300400=34

x=400


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