Question

A monoatomic ideal gas undergoes a process ABC. The heat given to the gas is

• A. 7.5 PV
• B. 12.5 PV
• C. 16.5 PV
• D. 20.5 PV

Answer 1

The correct option is C 16.5 PV

$\begin{array}{c}w=\frac{1}{2}\left[5p\right]v+\frac{1}{2}\left[4p\right]4v\\ =\frac{5pv}{2}+8pv\\ =10.5pv\\ let{T}_A=T\\ \Rightarrow 2pv=nRT\\ T_c=T^{\prime }\\ \Delta u=\frac{f}{2}nR\left(T^{\prime }-T\right)\\ =\frac{3}{2}\left(4pv\right)\\ =6pv\\ \therefore \Delta Q=16.5pv\end{array}$

$\therefore$ Option $C$ is correct.