A 50-kilowatt (kW) gas turbine has an investment cost of $40,000. It costs another $14,000 for shipping, insurance, site preparation, fuel lines, and fuel storage tanks. The operation and maintenance expenses for this turbine is $450 per year. Additionally, the hourly fuel expense for running the turbine is $7.50 per hour, and the turbine is expected to operate 3,000 hours per year. The cost of dismantling and disposing of the turbine at the end of its 8-year life is $8,000. (A) If the MARR is 15% per year, what is the annual equivalent life-cycle cost of the gas turbine? (B) What percent of the annual life-cycle cost is related to fuel?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A 50-kilowatt (kW) gas turbine has an investment cost of $40,000. It costs another $14,000 for shipping,
insurance, site preparation, fuel lines, and fuel storage tanks. The operation and maintenance expenses
for this turbine is $450 per year. Additionally, the hourly fuel expense for running the turbine is $7.50
per hour, and the turbine is expected to operate 3,000 hours per year. The cost of dismantling and
disposing of the turbine at the end of its 8-year life is $8,000.
(A) If the MARR is 15% per year, what is the annual equivalent life-cycle cost of the gas turbine?
(B) What percent of the annual life-cycle cost is related to fuel?
Present worth uniform payment (annuity) series.
PW = P
(1- (1 + r n )
r
(1+0.15)-
PWOM
=
450
0.15
Where OM is operation maintenance.
PW Fuel =
$22,500
Now let's calc initial investment.
Calc disposal.
= $2,235.42
(1+0.15)-
0.15
=
= $111,721.00
= $40,000 +$14,000 = $54,000
PWinitial
PW Disposal = $8000
1
(1+0.15)8.
= $2,144
Find annual equivalent.
A) AE
=
PWint + PWOM + PW Fuel + PWDisposal
B) %fuel =
PW fuel
AE
(100) = 65.7
=
= $170,100.42
Transcribed Image Text:A 50-kilowatt (kW) gas turbine has an investment cost of $40,000. It costs another $14,000 for shipping, insurance, site preparation, fuel lines, and fuel storage tanks. The operation and maintenance expenses for this turbine is $450 per year. Additionally, the hourly fuel expense for running the turbine is $7.50 per hour, and the turbine is expected to operate 3,000 hours per year. The cost of dismantling and disposing of the turbine at the end of its 8-year life is $8,000. (A) If the MARR is 15% per year, what is the annual equivalent life-cycle cost of the gas turbine? (B) What percent of the annual life-cycle cost is related to fuel? Present worth uniform payment (annuity) series. PW = P (1- (1 + r n ) r (1+0.15)- PWOM = 450 0.15 Where OM is operation maintenance. PW Fuel = $22,500 Now let's calc initial investment. Calc disposal. = $2,235.42 (1+0.15)- 0.15 = = $111,721.00 = $40,000 +$14,000 = $54,000 PWinitial PW Disposal = $8000 1 (1+0.15)8. = $2,144 Find annual equivalent. A) AE = PWint + PWOM + PW Fuel + PWDisposal B) %fuel = PW fuel AE (100) = 65.7 = = $170,100.42
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