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To what temperature should the hydrogen ...

To what temperature should the hydrogen at `327^(@)C` be cooled at constant pressure, so that the root mean square velocity of its molecules become half of its previous value?

A

`-123^(@)C`

B

`123^(@)C`

C

`-100^(@)C`

D

`0^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
`v_("rms") prop sqrt(T)implies((v_("rms"))_(1))/((v_("rms"))_(2))= sqrt((T_(1))/(T_(2)))`
`rArr (v)/(v//2) = sqrt((600)/(T_(2)))rArr T_(2)=150K = -123^(@)C`
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