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IF c1,c2,c3……are random speeds of gas mo...

IF `c_1,c_2,c_3`……are random speeds of gas molecules at a certain moment then average velocity `c_(av)=(c_1+c_2+c_3+.......c_n)/n` are root mean square speed of gas molecules
`c_(rms)=sqrt((c_1^2+c_2^2+c_3^2+......+c_n^2)/n)=c`
Further `c^2 prop T or c prop sqrt T`
At0K, c=0 i.e.,molecular motion stops.
At what temperature when pressure remains constant, will the rms speed of the gas molecules be increased by 10% of the rms speed at STP?

A

`57.3K`

B

`57.3^@C`

C

`557.3K`

D

`-57.3^@C`

Text Solution

Verified by Experts

The correct Answer is:
A
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