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The root mean square speed of molecules of a given mass of a gas at 27°C and 1 atmosphere pressure is 200 ms-1. The root mean square speed of molecules of the gas at 127°C and 2 atmosphere pressure is x3ms1. The value of x will be ______

a
400
b
300
c
200
d
100

detailed solution

Correct option is A

vmo=3RTM vmo=T vrmo2vrmo1=T2T1=400300=23 vrmo2=23vrmo1=23×200 vrmo2=4003m/s=400

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