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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

`3/4N_Ak_B(T_2/T_1)`

B

`3/8N_Ak_B(T_2-T_1)`

C

`3/2N_Ak_B(T_2-T_1)`

D

`3/4N_Ak_B(T_2-T_1)`

Text Solution

Verified by Experts

The correct Answer is:
B

Number of moles in 1 g` He = 1/4`
Heat energy `DeltaQ = nC_v DeltaT`
`= 1/4 (3/2R) (T_2 -T_1) = 3/8 k_B N_A (T_2 - T_1)`
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