The ratio of the molar heat capacities of an ideal gas

Question:

The ratio of the molar heat capacities of an ideal gas is $C_{p} / C_{v}=7 / 6$. Calculate the change in internal energy of $1.0$ mol of the gas when its temperature is raised by $50 \mathrm{~K}$

(a) keeping the pressure constant,

(b) keeping the volume constant and

(c) adiabatically.

Solution:

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