Compute all parts of given question:
Question: 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 ration of 1.3. The pressure and temperature at the top of the well are 250 psig and 70 degrees Fahrenheit, respectively. The gas is being produced at a slow rate, so conditions in the well can be considered to be isentropic.
Part A: What are the pressure and temperature at a depth of 10,000 ft?
Part B: What would the pressure be at this depth if the gas were isothermal?
Part C: What would the pressure be at this depth if the gas were incompressible?
I'm looking for a brief but thorough explanation, and an example.