$(9$ points$)$ A propane tank for a residential gas grill has a volume of $4\mathrm{.}6$ gallons and a tare $($empty$)$ weight of $16\mathrm{.}6$ lb $.$ The tank contains a mixture of liquid propane and propane vapor.

The tank has been sitting in a shady spot on an outdoor patio during the afternoon on a day when the air temperature of $80F$ and the barometric pressure of $15\mathrm{.}1$ psia are steady.

In direct sunlight, the heat transfer rate through the tank wall into the propane is $434Bt\frac{u}{h}$ due to the combined effects of radiation, convection, and radiation.

The top of Samford Hall is $137$ ft above the lawn.

The tank and contents together weigh $27\mathrm{.}2$ lb $.$ A pressure gage at the top of the tank reads $128\mathrm{.}9$ psig $.$

Determine the following. Round your answers to three significant figures.

a$.0\mathrm{.}615t{t}^3,$ tank volume $0,614928$

b$.0,0580f\frac{t^3}{16}bm$ Specific volume of the propane mixture in the tank $0\mathrm{.}058012075$

c$.17\mathrm{.}2i\frac{b_m}{f}{t}^3,$ Density of the propane mixture in the tank $17\mathrm{.}23779044$

d$.540$ Absolute temperature of the propane mixture in the tank $539,67$

e$.4\mathrm{.}79$ Btu

f$.0\mathrm{.}0565$

$0\mathrm{.}0564$

Energy required to move the tank and its contents from the lawn to the top of Samford Hall $4.788670,856$

g $$ Btu

h$.q,$ Btu

i$.q,$ Btu$/$lbm

Power required to move the tank and its contents to the top of Samford Hall if the relocation requires $2$ minute?

Energy required to accelerate th$$ t$$nk $$ its conients from rest to $60$ mph in a pickup truck $($Note: $1$ mile $=5280ft)$

Energy added to the propane if it sits at rest in direct sunlight for $13$ minutes

$$

The change in specific internal energy of the propane as it sits at rest in direct sunlight for $13$ minutes

Find G in Btu, H in Btu, and I in Btu$/$lbm