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  4. An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas is

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Q. An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas is

WBJEEWBJEE 2013Thermodynamics

Solution:

Fraction $=\frac{\Delta U}{\Delta Q}=\frac{C_{V}}{C_{p}}$
For monoatomic gas $\frac{C_{p}}{C_{V}}=\gamma=\frac{5}{3}$
So, $\frac{C_{V}}{C_{p}}=\frac{1}{\gamma}=\frac{3}{5}$