(a)
The temperature at B and C.
(a)
Answer to Problem 47PQ
The temperature at B is
Explanation of Solution
Given that the pressure at point A is
Write the expression for the temperature at
Here,
Write the expression for the temperature at C from ideal gas equation.
Here,
Conclusion:
Substitute
Point
Substitute
Therefore, the temperature at B is
(b)
The total work done on the gas during one cycle.
(b)
Answer to Problem 47PQ
The total work done on the gas during one cycle is
Explanation of Solution
The total work done is equivalent to the area under the
Write the expression for the area of triangle.
Here,
Write the expression for the base of the triangle.
Here,
Write the expression for height of the triangle.
Here,
Use equations (IV) and (V) in expression (III)
Conclusion:
Substitute
Therefore, the total work done on the gas during one cycle is
(c)
The amount of
(c)
Answer to Problem 47PQ
The amount of heat transferred when the gas goes from B to C is
Explanation of Solution
Write the expression for the change in thermal energy of the gas.
Here,
The process done between points B and C is adiabatic in nature.
Write the expression for the work done in an isobaric process.
Here,
Apply first law of thermodynamics. The heat flowing through
Write the expression for the heat flowing between
Conclusion:
Substitute
Substitute
Therefore, the amount of heat transferred when the gas goes from B to C is
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Chapter 21 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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