
(a)
The rate at which the station exhaust energy by heat as a function of the fuel combustion temperature
(a)

Answer to Problem 33P
The rate at which the station exhaust energy by heat as a function of the fuel combustion temperature
Explanation of Solution
Given information:The rate of work output of the engine is
Formula to calculate the carnot efficiency of the engine.
Here,
The actual efficiency of the engine is equal to two-thirds of the efficiency of the carnot engine.
Here,
Substitute
Formula to calculate the rate of heat input to the engine.
Here,
Formula to calculate the rate at which the station exhaust energy by heat as a function of the fuel combustion temperature
Here,
Substitute
Substitute
Substitute
Thus, the rate at which the station exhaust energy by heat as a function of the fuel combustion temperature
Conclusion:
Therefore, the rate at which the station exhaust energy by heat as a function of the fuel combustion temperature
(b)
The effect on the amount of the energy if the firebox is modified to run hotter by using more advanced combustion technology.
(b)

Answer to Problem 33P
The amount of the energy exhaust change if the firebox is modified to run hotter by using more advanced combustion technology because the exhaust power decreases as the fire box temperature increases.
Explanation of Solution
If the firebox is modified to run hotter by using more advanced combustion technology, the amount of the energy exhaust change because the exhaust power is inversely proportional to the fire box temperature. So, the exhaust power decreases as the fire box temperature increases.
Conclusion:
The amount of the energy exhaust change if the firebox is modified to run hotter by using more advanced combustion technology because the exhaust power decreases as the fire box temperature increases.
(c)
The exhaust power for
(c)

Answer to Problem 33P
The exhaust power for
Explanation of Solution
Given information: The rate of work output of the engine is
From equation (4), the formula to calculate the exhaust power for
Substitute
Thus, the exhaust power for
Conclusion:
Therefore, the exhaust power for
(d)
The value of
(d)

Answer to Problem 33P
The value of
Explanation of Solution
Given information: The rate of work output of the engine is
Write the expression for the exhaust power whuch would be only half as large as in part (c).
Here,
Substitute
Thus, the exhaust power whuch would be only half as large as in part (c) is
From equation (4), the formula to calculate the value of
Substitute
Thus, the value of
Conclusion:
Therefore, the value of
(e)
The value of
(e)

Answer to Problem 33P
The value of
Explanation of Solution
Given information: The rate of work output of the engine is
Write the expression for the exhaust power whuch would be one-fourth as large as in part (c).
Here,
Substitute
Thus, the exhaust power whuch would be one-fourth as large as in part (c) is
From equation (4), the formula to calculate the value of
Substitute
Thus, the value of
Conclusion:
Therefore, the value of
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Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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