Please read carefully: A horizontal cylinder equipped with a frictionless piston contains 785 cm3 of steam at 400 K and 125 kPa. A total of 83.3 J of heat is transferred to the system, causing the temperature of the steam and the volume of the cylinder to increase. A constant restraining force is maintained on the piston during expansion, so that the pressure exerted by the piston on the steam remains constant at 125 kPa. The specific enthalpy of vapor at 125 kPa varies with temperature approximately as (see image with equation): Considering the steam as the system, convince yourself that Q = ∆H for this process. Next: a. prove that the final temperature of the steam is 480K. b. Finally, find the final volume of the cylinder, the expansion work done by the steam, and the ∆U (J). Please include any assumptions, show all of the steps and calculations.
Please read carefully: A horizontal cylinder equipped with a frictionless piston contains 785 cm3 of steam at 400 K and 125 kPa. A total of 83.3 J of heat is transferred to the system, causing the temperature of the steam and the volume of the cylinder to increase. A constant restraining force is maintained on the piston during expansion, so that the pressure exerted by the piston on the steam remains constant at 125 kPa. The specific enthalpy of vapor at 125 kPa varies with temperature approximately as (see image with equation): Considering the steam as the system, convince yourself that Q = ∆H for this process. Next: a. prove that the final temperature of the steam is 480K. b. Finally, find the final volume of the cylinder, the expansion work done by the steam, and the ∆U (J). Please include any assumptions, show all of the steps and calculations.
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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Please read carefully:
A horizontal cylinder equipped with a frictionless piston contains 785 cm3 of steam at 400 K and 125 kPa. A total of 83.3 J of heat is transferred to the system, causing the temperature of the steam and the volume of the cylinder to increase. A constant restraining force is maintained on the piston during expansion, so that the pressure exerted by the piston on the steam remains constant at 125 kPa.
The specific enthalpy of vapor at 125 kPa varies with temperature approximately as (see image with equation):
Considering the steam as the system, convince yourself that Q = ∆H for this process. Next:
a. prove that the final temperature of the steam is 480K.
b. Finally, find the final volume of the cylinder, the expansion work done by the steam, and the ∆U (J).
Please include any assumptions, show all of the steps and calculations.
Transcribed Image Text:H
\mol)
34.980 + 35.5T (K)
%3D
Transcribed Image Text:Steam
Steam
P= 125 kPa
P= 125 kPa
T= 400 K
V= 785 cm?
T=?
V= ?
Q = 83.8 J
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