$\mathrm{.}0.$ Nitrogen gas enters a $0\mathrm{.}190m$ diameter pipe at $36\mathrm{.}0C,$

$2\mathrm{.}90$atm $($absolute$),$ and $7\mathrm{.}60\frac{m}{s}.$ The pipe rises $23\mathrm{.}0ft$ and

then falls $87\mathrm{.}0ft.$ The nitrogen gas exits the pipe at $36\mathrm{.}0C$ and

$1\mathrm{.}10$atm $($absolute$).$

The ultimate goal is to find $E_k^{}$ and $E_p^{}$ in the process.

Assume $N_2$ behaves ideally.

What is $V_1^{},$ the volumetric flow rate of nitrogen gas into the pipe section?

$V_1^{}=$

$\frac{m^3}{s}$

What is $m^{},$ the mass flow rate into the pipe?

$\frac{?}{\text{b}\text{a}\text{r}}(m)$

$i\frac{g}{s}$

What is $u_2,$ the average velocity of $N_2$ leaving the pipe section?

$u_2=$

What is $E_k^{},$ the change in kinetic energy of the gas between the end and the start of the pipe section?

$E_k^{}=$

What is $E_p^{},$ the change in potential energy of the gas between the end and the start of the pipe section?

$E_p^{}=$