Problem #$2$:

Consider a tank containing compressed nitrogen $(N_2).$ It starts out hanging above the ground from a crane. Because

the tank is exposed to the sun, the gas is hotter than the surrounding air. At the initial state, the tank is being lowered

by the crane, the tank is $20$ m above the ground and travelling at $3\frac{m}{s}$ toward the ground. At that instant, the

temperature and pressure of the nitrogen in the tank are $80C$ and $1000$ kPa $,$ respectively. At the final state, the tank

is stationary on the ground, and the temperature is $20C.$ For nitrogen, $R=0\mathrm{.}2968k\frac{J}{k}g-$ K $.$ Determine the following

in $k\frac{J}{k}g$ for the nitrogen in the tank:

Change in potential energy per mass

Change in kinetic energy per mass

Change in internal energy per mass

Change in total energy per mass

Lastly, what is the...

Specific volume of the nitrogen in the tank $($units of $\frac{m^3}{k}g)?$