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 :

Options

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)))`

Answer

A

Explanation

`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.