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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?

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?

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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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: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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