A gas well contains hydrocarbon gases with an average molecular weight of 24 , which can be assumed to be an ideal gas with a specific heat ratio of 1.3. The pressure and temperature at the top of the well are $250 \mathrm{psig}$ and $70^{\circ} \mathrm{F}$, respectively. The gas is being produced at a slow rate, so that the conditions in the well can be considered to be isentropic.

(a) What are the pressure and temperature at a depth of $10,000 \mathrm{ft}$ ?

(b) What would the pressure be at this depth if the gas were assumed to be isothermal?

(c) What would the pressure be at this depth if the gas were assumed to be incompressible?