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1. A Diesel cycle operates with a compression ratio of 15, and a cutoff ratio of

ID: 1858887 • Letter: 1

Question

1.   A Diesel cycle operates with a compression ratio of 15, and a cutoff ratio of 2.5. What is the rate of heat input required for this cycle to produce 223.8 kJ/s? (for air use: k=1.4)

a)      227 kJ/s

b)      386 kJ/s

c)      438 kJ/s

d)     556 kJ/s

2.   A gas turbine utilizes two stages of compression, two stages of expansion, intercooling, reheating, and regeneration. What is the thermal efficiency of this gas turbine using the following data: T2 = 446 K and T7 = 808 K, T3 = T1 = 300 K, T10 = T4 = T2 = 446 K, T5 = T7 = T9 = 808 K, and T6 = T8 = 1200 K.

a)      0.22

b)      0.41

c)      0.63

d)     0.72

3.      The enthalpies around an ideal Rankine cycle with an open-feedwater-heater are: h1 = 340.5 kJ/kg, h2 = 340.6 kJ/kg, h3 = 444.3 kJ/kg, h4 = 447.2 kJ/kg, h5 = 3115.3 kJ/kg, h6 = 2479.9 kJ/kg, and h7 = 2344.1 kJ/kg. What percentage of the mass flow rate passing through the boiler is bled from the turbine for open-feedwater-heater?

a)      4.85 %

b)      7.31 %

c)      10.6 %

d)     13.2 %

4.      The enthalpies at various states in an ideal Rankine cycle with an open-feedwater-heater are: h1 = 340.5 kJ/kg, h2 = 340.6 kJ/kg, h3 = 444.3 kJ/kg, h4 = 447.2 kJ/kg, h5 = 3115.3 kJ/kg, h6 = 2479.9 kJ/kg, and h7 = 2344.1 kJ/kg. What is the thermal efficiency of this cycle?

a)      24.6 %

b)      28.6 %

c)      32.6 %

d)     36.6 %


5.   The enthalpies at various states in a simple vapor-compression refrigerator cycle are:

h1 = 237.14 kJ/kg, h2 = 283.10 kJ/kg, and h3 = h4 = 115.76 kJ/kg. What is the coefficient of performance of this device

a)      2.64

b)      2.93

c)      3.26

d)     3.69

6.      An ideal R-134a, dual compressor vapor-compression refrigerator system uses a flash chamber to separate the vapor in the evaporator feed line. The enthalpies of refrigerant at various states are: , h1 = 235.31 kJ/kg, h5 = h6 = 125.26 kJ/kg, h3 = 252.32 kJ/kg, and h7 = h8 = 62.00 kJ/kg. What fraction of the mass flow rate passing through the evaporator.

a)      0.8

b)      1.0

c)      1.2

d)     1.5

7.      At one location in a nozzle, the air enthalpy is 401 kJ/kg and the air velocity is 400 m/s. What is the stagnation enthalpy (based on temperature dependent specific heats) of the air at this location?

a)      300 kJ/kg

b)      357 kJ/kg

c)      470 kJ/kg

d)     481 kJ/kg

8.      At one location in a nozzle, the air temperature is 400 K and the air velocity is 450 m/s. What is the Mach number at this location? (for air: k=1.4 and R=287 J/kg K)

a)      0.97

b)      1.12

c)      1.37

d)     2.02

Explanation / Answer

1)b 5) a 7)d 8)b