A1] A thermodynamic cycle of a monatomic ideal gas consists of the following three stages: (1) a constant volume increase in pressure from (P,,V,) to (P2, V); (2) a constant pressure expansion from (P2, V1) to (P2, V2); (3) a return to (P1, Vi) following a straight line on the P" diagram. a) Show these three stages on a PV diagram. b) Shade the area on your diagram that corresponds to the net work done on or by the monatomic ideal gas during a single cycle. c) Hence or otherwise find an expression for the net work W done by the monatomic ideal gas during a single cycle. d) Find the heat Qi absorbed by the gas in stage (1), expressing your answer in terms of pressures and volumes.

A1] A thermodynamic cycle of a monatomic ideal gas consists of the following three stages: (1) a constant volume increase in pressure from (P,,V,) to (P2, V); (2) a constant pressure expansion from (P2, V1) to (P2, V2); (3) a return to (P1, Vi) following a straight line on the P" diagram. a) Show these three stages on a PV diagram. b) Shade the area on your diagram that corresponds to the net work done on or by the monatomic ideal gas during a single cycle. c) Hence or otherwise find an expression for the net work W done by the monatomic ideal gas during a single cycle. d) Find the heat Qi absorbed by the gas in stage (1), expressing your answer in terms of pressures and volumes.

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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of energy. Energy transfer is something that we encounter in day-to-day life. Automobiles, chemical reactions, refrigerators, and power generators work on the basis of thermodynamic principles.

Question

A1] A thermodynamic cycle of a monatomic ideal gas consists of the following
three stages: (1) a constant volume increase in pressure from (P, V) to (P2, V); (2) a
constant pressure expansion from (P2, V1) to (P2, V2): (3) a return to (P1, Vi) following
a straight line on the P" diagram.
a) Show these three stages on a PV diagram.
b) Shade the area on your diagram that corresponds to the net work done
on or by the monatomic ideal gas during a single cycle.
c) Hence or otherwise find an expression for the net work W done by the
monatomic ideal gas during a single cycle.
d) Find the heat Qi absorbed by the gas in stage (1), expressing your
answer in terms of pressures and volumes.
e) Find the heat Q2 absorbed by the gas in stage (2), expressing your
answer in terms of pressures and volumes.
f) If the entropy of the system at (Pi, Vi) is S1, find an expression for S2,
the entropy of the system at (P2, V2), in terms of S1, pressures, volumes, n and R.
n is the number of moles of ideal gas present and R is the universal gas constant.

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