(a)
Pressure and volume at given points.
(a)
Answer to Problem 61P
Volume at A, B, C, D are
Pressure at B and D are
Explanation of Solution
Write the ideal gas equation and rearrange for
Here
From figure, AB is isothermal.
Therefore.
Here
BC is adiabatic.
Therefore,
Here
Rearrange (II) in terms of
Rearrange (IV) in terms of
Similarly,
CD is isothermal.
Here
AD is adiabatic.
Substitute for
Rearrange (VIII) in terms of
Rearrange (II) and (VI) in terms of
Conclusion:
Substitute
Substitute
Substitute
Substitute
Volume at A, B, C, D are
Pressure at B and D are
(b)
Net work done per cycle.
(b)
Answer to Problem 61P
Net work done is
Explanation of Solution
Write the first law of
Here
As the change in internal energy is zero, (XI) becomes,
Write the equation for work done
Here
Write the equation for efficiency
Here
Rewrite (XIIII) in terms of
Conclusion:
Substitute
Net work done is
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Chapter 18 Solutions
Principles of Physics
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