Problem $1$: A circular well with radius of $3\mathrm{.}75$ inches is drilled to a depth of $980$ feet and is filled with saline brine with a density of $1\mathrm{.}06\frac{g}{c}{m}^3.$

$($A$)$ Convert all relevant quantities to SI units,

$($B$)$ What is the total weight of fluid in the well $($in SI units and to $3$ significant figures$).$

Problem $2$: A bottle tank has a volume of $75$ gallons and initially contains $35$ kg of air $($assumed to be an ideal gas$)$ at $10$ MPa absolute pressure at a temperature of $20C.$ A valve is opened and $2$ MPa of pressure is slowly released so that the temperature is constant.

$($A$)$ Convert all relevant quantities to SI units,

$($B$)$ How many kg of gas are released? $(3$ figures, as always, OK$,$ I$\text{'}$m going to stop reminding now$),$

$($C$)$ The bottle tank is located at sea level, what is the gage pressure after the gas is released?

$($D$)$ What is the change in the gage pressure if the bottle tank is moved outside and left to equilibrate with an outdoor temperature of $30C?$

Problem $3$: The specific weight of sea water at the surface is $63\mathrm{.}6lb\frac{f}{f}{t}^3.$ The absolute pressure at the surface is $14\mathrm{.}7$ psi. The pressure at a point deep in the ocean is $2500$ psi. What is the seawater density at this point? Report your answer in $l\frac{b}{f}t3$ and take the bulk modulus of the sea water as $4\mathrm{.}87{10}^5.$