Question $3$

An isothermal $(T=-1$ Celsius$)$ gas tank has a height of $117m.$ The gas pressure at the bottom of the tank is $4\mathrm{.}75$ bar, and at the top of the tank, the pressure is measured to be $4\mathrm{.}67$ bar. What is the molecular weight of the gas in this tank, in $\frac{g}{m}ol?$

Question $4$

A spherical storage tank contains high pressure methane $($molecular mass $16\mathrm{.}04\frac{g}{m}ol).$ The tank is constructed out of a material with a design tensile strength of $64$MPa and a wall thickness of $6cm,$ and has a diameter of $18$ meters. The entire container is maintained at $-11$ degrees Celsius. How many metric tons of methane can be safely stored in this tank? $($Recall that a metric ton is equal to $1000kg$ or $1Mg$ and assume ideal gas$).$