A natural gas well contains methane, which is practically an ideal gas. The pressure at the surface is 1000 psi. a) What is the pressure at a depth of 20,000 ft if temperature is assumed constant at 70°F?

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5. A natural gas well contains methane, which is practically an ideal gas. The pressure at
the surface is 1000 psi.
a) What is the pressure at a depth of 20,000 ft if temperature is assumed constant at
70°F?
b) How much error would be made by assuming that methane was a constant-density
fluid at 70°F?
c) If temperature decreases at an approximate constant value of 0.070°R per ft of
elevation, what is the temperature and pressure at a depth of 20,000 ft?
Transcribed Image Text:5. A natural gas well contains methane, which is practically an ideal gas. The pressure at the surface is 1000 psi. a) What is the pressure at a depth of 20,000 ft if temperature is assumed constant at 70°F? b) How much error would be made by assuming that methane was a constant-density fluid at 70°F? c) If temperature decreases at an approximate constant value of 0.070°R per ft of elevation, what is the temperature and pressure at a depth of 20,000 ft?
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