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The amount of heat energy required to ra...

The amount of heat energy required to raise the temperature of 1 g of helium at NTP, from `T_(1)K` to `T_(2)K` is

A

`(3)/(8)N_(a)k_(B)(T_(2)-T_(1))`

B

`(3)/(2)N_(a)k_(B)(T_(2)-T_(1))`

C

`(3)/(4)N_(a)k_(B)(T_(2)-T_(1))`

D

`(3)/(4)N_(a)k_(B)((T_(2))/(T_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
A
`E=(f)/(2)nRT` OR
`=(f)/(2)NkT`
`because N=n.N_(A)`
`=(3)/(2).n.N_(A).k_(B).T`
`=(3)/(8)N_(A).k_(B).T`
`n=(m)/(M)=(1)/(4)`
where `N_(A)=` Avagadro's number
`k_(B)=`Boltazmann const.
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