First slide

Specific heat

Question

When an ideal diatomic gas is heated at constant pressure, the fraction of heat energy supplied which increases the internal energy of the gas is

Easy

A

2/5
B

3/5
C

5/7
D

3/7

Solution

We know that C_v corresponds to the fraction of heat energy used for increasing the internal energy. Further,
$C_{V} = (5 / 2) and C_{p} = (7 / 2) R$
Hence, required fraction $= \frac{C_{V}}{C_{p}} = \frac{(5 / 2)}{(7 / 2) R} = \frac{5}{7}$

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