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Q.

The rms velocity of a gas at a given temperature is 300 m/s. What will be the rms velocity of a gas having twice the molecular weight and half the temperature in ‘K’

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a

300 m/s

b

600 m/s

c

75 m/s

d

150 m/s

answer is D.

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Detailed Solution

Vrms=3RTM Vrms∝TMhere temperature isT, molecular weight is M, given Vrms 1=300 m/s; M2=2M1;T2=T12 ; substitute,V1V2=T1T2×M2M1=2T1T1×2M1M1300V2=4V2=3002=150m/s=Vrms

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The rms velocity of a gas at a given temperature is 300 m/s. What will be the rms velocity of a gas having twice the molecular weight and half the temperature in ‘K’