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At what temperature, pressure remaining ...

At what temperature, pressure remaining unchanged, will the rms velocity of hydrogen be doubled its value at NTP ?

A

`819^(@)C`

B

`1092^(@)C`

C

`4368^(@)C`

D

`4095^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D

Maxwellian speed distribution law states that
`c_("rms")=sqrt(((3KT)/(M)))rArrc_("rms")propsqrt(T)`
`therefore" " (c_(("rms")_1))/(c_(("rms")_2))=sqrt((T_(1))/(T_(2)))rArr(4)/(1)=sqrt((T')/(273))`
`"or " T'=4368K=4095^(@)C`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-KINETIC THEORY OF GASES ANDRADIATION-MHT CET Corner
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