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For one mole of an ideal gas, increasing...

For one mole of an ideal gas, increasing the temperature from `10^(@)C` to `20^(@)C`

A

increases the average kinetic energy by two times

B

increases the rms by `sqrt(2)` times

C

increased the rms by 2 times

D

increases both the average kinetic energy and rms velocity but not significantly

Text Solution

Verified by Experts

The correct Answer is:
D
`bar(KE)=(3)/(2)RT :. (bar(KE_(2)))/(bar(KE_(1)))=(T_(2))/(T_(1))=(293)/(283)=1.04`
`:. bar(KE_(2))=1.04bar(KE_(1))`
`u_(rms)=sqrt((3RT)/(M))`
`:.(u_(2))/(u_(1))=sqrt((293)/(283))=sqrt(1.04)=1.02`
`:. u_(2)=1.02" u"_(1)`
Thus, both increase but not significantly.
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