A gas in a piston-cylinder assembly undergoes a process for which the relationship between pressure and volume is given by: PV = Constant The initial volume of vapor is 3.2 m³ and the

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
Question
A gas in a piston-cylinder assembly undergoes a
process for which the relationship between
pressure and volume is given by:
PV = Constant
The initial volume of vapor is 3.2 m³ and the
final volume is double the initial volume. The
initial pressure in the system was found to be
equal to 427 kPa.
a)
Based on the mentioned
description, is this process an expansion or a
compression? Justify your answer.
b)
Write a general expression of the
total change in energy for that system between
state 2 and state 1. Provide names of each
energy form in your expression.
c)
Determine the work done by the
vapor (in kJ) during this process. What is the
type of this work?
d)
Determine the density of the
vapor at the initial state if the mass of the
system is equal to 5.5 kg. Deduce then a value
for specific volume.
Imagine that the top of the piston
is held by a force and the upper boundary
cannot slide anymore. Explain what will be
consequence if continuous heating is applied at
the bottom of the system?
Consider that the piston is now
your thermodynamic system. It is well insulated
from the gas and from the atmosphere (Q=0) and
moves without friction in the cylinder. During a
heating process, the increase in volume
measured in this piston-cylinder assembly was
found to be equal to 0.09 m³. The atmospheric
pressure is 101 kPa and the pressure of the gas
(inside the cylinder) is found to be equal to 222
kPa. Determine the total work done on our
system (kJ).
Transcribed Image Text:A gas in a piston-cylinder assembly undergoes a process for which the relationship between pressure and volume is given by: PV = Constant The initial volume of vapor is 3.2 m³ and the final volume is double the initial volume. The initial pressure in the system was found to be equal to 427 kPa. a) Based on the mentioned description, is this process an expansion or a compression? Justify your answer. b) Write a general expression of the total change in energy for that system between state 2 and state 1. Provide names of each energy form in your expression. c) Determine the work done by the vapor (in kJ) during this process. What is the type of this work? d) Determine the density of the vapor at the initial state if the mass of the system is equal to 5.5 kg. Deduce then a value for specific volume. Imagine that the top of the piston is held by a force and the upper boundary cannot slide anymore. Explain what will be consequence if continuous heating is applied at the bottom of the system? Consider that the piston is now your thermodynamic system. It is well insulated from the gas and from the atmosphere (Q=0) and moves without friction in the cylinder. During a heating process, the increase in volume measured in this piston-cylinder assembly was found to be equal to 0.09 m³. The atmospheric pressure is 101 kPa and the pressure of the gas (inside the cylinder) is found to be equal to 222 kPa. Determine the total work done on our system (kJ).
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