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Questions  

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

vrms=3RTMvrms∝Tvrms2vrms1=T2T1=400300=23vrms2=23vrms1=23×200vrms2=4003m/s⇒x=400

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