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Question

Physics Question on kinetic theory

7 mol of a certain monoatomic ideal gas undergoes a temperature increase of 40 K at constant pressure. The increase in the internal energy of the gas in this process is:
(Given R = 8.3 JK-1 mol-1)

A

5810 J

B

3486 J

C

11620 J

D

6972 J

Answer

3486 J

Explanation

Solution

The increase in the internal energy of the gas,
U=nCvT△U=nC_v△T
U=7×3R2×40△U=7×\frac {3R}{2}×40
U=3486J△U =3486 J

So, the correct option is (B): 3486 J3486\ J