A simple Rankine cycle operates with R-134a as the working fluid. Fluid leaves the boiler at 1.4 MPa and a saturated vapor and leaves the turbine at 0.7 MPa. Important Note: In this problem, you will likely not be able to locate the properties of R-134a leaving the pump. Therefore, for purposes of this problem, assume that the pump requires so much less energy input that the turbine outputs that you can assume it to be zero. (a www vorhipe (b) If the mass flow rate of R-134a through the cycle is 27 kg/s, and the cost of energy is $0.09 per kWh, determine the earnings the cycle will produce per year (ignoring the cost associated with running the pump and assuming that there is no other source of income other than the turbine, and assuming the turbine operates for 50% of the year). (c) If the cost to construct this facility is $5 million, determine the time it would take to pay off this investment. (Ignore interest, assume that there are no other costs involved in running the faculty, and assu ne that the only income from the process is sales from energy part (b). (d) Your boss tells you that the time you calculated in (c) is too long to wait. Instead, you must be sure that the process is paid off in 10 years. (i) What must the price of energy would you need to have to recoup the $5,000,000 initial investment? (ii) Assuming the price of energy you calculated in (i) is unreasonable (hint: it should be), how much power should the turbine produce to break even in 10 years? Assuming the exit conditions of the turbine remain the same, and the inlet pressure to the turbine remains the same at 1.4 MPa, what would the temperature of the turbine inlet need to be to ensure the pay off in 10 years?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A simple Rankine cycle operates with R-134a as the working fluid. Fluid leaves the boiler at 1.4
MPa and a saturated vapor and leaves the turbine at 0.7 MPa.
Important Note: In this problem, you will likely not be able to locate the properties of R-134a
leaving the pump. Therefore, for purposes of this problem, assume that the pump requires so much
less energy input that the turbine outputs that you can assume it to be zero.
(a
(b) If the mass flow rate of R-134a through the cycle is 27 kg/s, and the cost of energy is $0.09
per kWh, determine the earnings the cycle will produce per year (ignoring the cost
associated with running the pump and assuming that there is no other source of income
other than the turbine, and assuming the turbine operates for 50% of the year).
(c) If the cost to construct this facility is $5 million, determine the time it would take to pay
off this investment. (Ignore interest, assume that there are no other costs involved in
running the faculty, and assume that the only income from the process is energy sales from
part (b).
(d) Your boss tells you that the time you calculated in (c) is too long to wait. Instead, you must
be sure that the process is paid off in 10 years.
(i)
What must the price of energy would you need to have to recoup the $5,000,000
initial investment?
(ii)
Assuming the price of energy you calculated in (i) is unreasonable (hint: it should
be), how much power should the turbine produce to break even in 10 years?
Assuming the exit conditions of the turbine remain the same, and the inlet pressure
to the turbine remains the same at 1.4 MPa, what would the temperature of the
turbine inlet need to be to ensure the pay off in 10 years?
Transcribed Image Text:A simple Rankine cycle operates with R-134a as the working fluid. Fluid leaves the boiler at 1.4 MPa and a saturated vapor and leaves the turbine at 0.7 MPa. Important Note: In this problem, you will likely not be able to locate the properties of R-134a leaving the pump. Therefore, for purposes of this problem, assume that the pump requires so much less energy input that the turbine outputs that you can assume it to be zero. (a (b) If the mass flow rate of R-134a through the cycle is 27 kg/s, and the cost of energy is $0.09 per kWh, determine the earnings the cycle will produce per year (ignoring the cost associated with running the pump and assuming that there is no other source of income other than the turbine, and assuming the turbine operates for 50% of the year). (c) If the cost to construct this facility is $5 million, determine the time it would take to pay off this investment. (Ignore interest, assume that there are no other costs involved in running the faculty, and assume that the only income from the process is energy sales from part (b). (d) Your boss tells you that the time you calculated in (c) is too long to wait. Instead, you must be sure that the process is paid off in 10 years. (i) What must the price of energy would you need to have to recoup the $5,000,000 initial investment? (ii) Assuming the price of energy you calculated in (i) is unreasonable (hint: it should be), how much power should the turbine produce to break even in 10 years? Assuming the exit conditions of the turbine remain the same, and the inlet pressure to the turbine remains the same at 1.4 MPa, what would the temperature of the turbine inlet need to be to ensure the pay off in 10 years?
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