Nitrogen gas at a pressure of 100 Bar and -70oC is contained in a tank of 0.25 m3. Heat is added until the temperature is 37oC. Determine approximately, through the use of Z factor, (a) Specific volume of gas, in m3/kmol (b) The final pressure, in Bar. Data for N2: Pc = 33.9 Bar Tc = 126.2 K

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
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Nitrogen gas at a pressure of 100 Bar and -70oC is contained in a tank of 0.25 m3. Heat is added until the temperature is 37oC.

Determine approximately, through the use of Z factor,

(a) Specific volume of gas, in m3/kmol

(b) The final pressure, in Bar.

Data for N2: Pc = 33.9 Bar Tc = 126.2 K

Expert Solution
Step 1: Understand the Concept of Compressibility Factor and Iteration

The compressibility factor, often represented as Z, is a correction factor that accounts for the deviation of real gases from ideal gas behavior.

It relates the molar volume of a gas to the molar volume of an ideal gas under the same conditions.

Using the Z factor in conjunction with the ideal gas law can help us determine various properties of a gas.

For non-ideal gases, pressure calculations often require an iterative process, as the compressibility factor may change with pressure.

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