1.

Temperature of an ideal gas, initially at 27^(@)C, is raised by 6^(@)C. The rms velocity of the gas molecules will

Answer»

increase by NEARLY 2%
decrease by nearly 2%
increase by nearly 1%
decrease by nearly 1%

SOLUTION :`because v_(rms)=sqrt((3k_(B)T)/(m))i.e.v_(rms)propsqrt(T)`
`therefore` Percentage increase in velocity `v_(rms)`,
`(Deltav_(rms))/(v_(rms))xx100=(1)/(2)(DeltaT)/(T)xx100`
`or (Deltav_(rms))/(v_(rms))xx100=(1)/(2)XX(6)/(300)xx100`
`(Deltav_(rms))/(v_(rms))xx100=1%`
HENCE, the rms velocity increases by 1%.


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