PROBLEM $1$:

Consider air within a closed container fitted with a paddle wheel that transfer

energy to the system at a rate of $1$ kW for $20$ minutes. During the same time

interval, the enclosed air receives at a rate of $0\mathrm{.}5$ kW heat transfer from the

surrounding. For a mass of air of $2\mathrm{.}2$ kg initially at $T_1=200C,P_1=\frac{1}{b}ar$

and assuming ideal gas model with $c_v=0\mathrm{.}764k\frac{J}{k}g$ determine:

a$)$ The change in specific internal energy in $k\frac{J}{k}g$

b$)$ Final temperature of the air in $C$