A rigid, closed tank containing 1100 grams of nitrogen (N2) is cooled from 900 K to 100 K. The specific heat capacity of N2 at constant volume is Cv = 30 J.mol-1.K-1. Assume Cv stays constant in the given temperature range. Molar mass of N2 = 28 g/mol. (i) Write the simplified first law of thermodynamics for this system with justification. (ii) Calculate the total heat transferred in the process of cooling in kJ. (iii) If the entire heat from the cooling of nitrogen could be used as work to change the volume of another gas from 500 m3 to 1000 m3 in a constant pressure process, calculate the value of pressure. (iv) Instead of a rigid container, if N2 was in a piston-cylinder system with a movable piston and the gas was expanded reversibly and at constant temperature (300K), calculate the work done in kJ/mole if the change in volume was 10-fold. Assume N2 to be an ideal gas.
A rigid, closed tank containing 1100 grams of nitrogen (N2) is cooled from 900 K to 100 K. The specific heat capacity of N2 at constant volume is Cv = 30 J.mol-1.K-1. Assume Cv stays constant in the given temperature range. Molar mass of N2 = 28 g/mol. (i) Write the simplified first law of thermodynamics for this system with justification. (ii) Calculate the total heat transferred in the process of cooling in kJ. (iii) If the entire heat from the cooling of nitrogen could be used as work to change the volume of another gas from 500 m3 to 1000 m3 in a constant pressure process, calculate the value of pressure. (iv) Instead of a rigid container, if N2 was in a piston-cylinder system with a movable piston and the gas was expanded reversibly and at constant temperature (300K), calculate the work done in kJ/mole if the change in volume was 10-fold. Assume N2 to be an ideal gas.
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
Problem 1.1P
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A rigid, closed tank containing 1100 grams of nitrogen (N2) is cooled from 900 K to 100 K. The specific heat capacity of N2 at constant volume is Cv = 30 J.mol-1.K-1. Assume Cv stays constant in the given temperature range. Molar mass of N2 = 28 g/mol.
(i) Write the simplified first law of
(ii) Calculate the total heat transferred in the process of cooling in kJ.
(iii) If the entire heat from the cooling of nitrogen could be used as work to change the volume of another gas from 500 m3 to 1000 m3 in a constant pressure process, calculate the value of pressure.
(iv) Instead of a rigid container, if N2 was in a piston-cylinder system with a movable piston and the gas was expanded reversibly and at constant temperature (300K), calculate the work done in kJ/mole if the change in volume was 10-fold. Assume N2 to be an ideal gas.
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