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At what temperature, the r.m.s. speed of...

At what temperature, the r.m.s. speed of the molecules of a gas is half its value at NTP?

A

0 K

B

273 K

C

150 K

D

68.25 K

Text Solution

Verified by Experts

The correct Answer is:
D
`C_(2)/C_(1)=sqrt(T_(2)/T_(1))" "thereforeC_(2)^(2)/C_(1)^(2)=T_(2)/T_(1)`
`therefore1/4=T_(2)/273" "thereforeT_(2)=68.25K`
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