Question

**7.2 A Brayton cycle gas engine is analyzed using the air
standard method. Given the conditions at state 1, pressure ratio
(rp), and cutoff ratio (rc) determine the efficiency and other
values listed below. The specific heat ratio and gas constant for
air is given as k=1.4 and R=0.287 kJ/kg-K
respectively.**

*T1 (K) = 333*

*P1 (kPa) = 170*

*rp = 10.7*

*rc = 2.54*

*AV (m3/s) = 1.7*

a) Determine the specific enthalpy (kJ/kg) at state 1.

b) Determine the relative pressure at state 1.

c) Determine the relative pressure at state 2.

d) Determine the temperature (K) at state 2.

e) Determine the pressure (kPa) at state 2.

f) Determine the specific enthalpy (kJ/kg) at state 2.

g) Determine the temperature (K) at state 3.

h) Determine the pressure (kPa) at state 3.

i) Determine the specific enthalpy (kJ/kg) at state 3.

j) Determine the relative pressure at state 3.

k) Determine the relative pressure at state 4.

l) Determine the temperature (K) at state 4.

m) Determine the pressure (kPa) at state 4.

n) Determine the specific enthalpy (kJ/kg) at state 4.

o) Determine the mass flow rate (kg/s) through the engine.

p) Determine the net power output (kW) for the engine.

q) Determine the rate of heat addition (kW) for the engine.

r) Determine the efficiency (%) of the engine.

Answer #1

A Diesel cycle engine is analyzed using the air standard
method. Given the conditions at state 1, compression ratio
(r), and cutoff ratio (rc) determine the efficiency and other
values listed below.
Note: The gas constant for air is R=0.287 kJ/kg-K.
--Given Values--
T1 (K) = 322
P1 (kPa) = 120
r = 11.5
rc = 1.6
Specific internal energy (kJ/kg) at state 1: 229.86
Relative specific volume at state 1= 520.52
Relative specific volume at state 2= 45.26
Temperature...

A Diesel cycle engine is analyzed using the air standard
method. Given the conditions at state 1, compression ratio
(r), and cutoff ratio (rc) determine the efficiency and other
values listed below.
Note: The gas constant for air is R=0.287 kJ/kg-K.
--Given Values--
T1 (K) = 322
P1 (kPa) = 120
r = 11.5
rc = 1.6
Specific internal energy (kJ/kg) at state 1: 229.86
Relative specific volume at state 1= 520.52
Relative specific volume at state 2= 45.26
Temperature...

A Diesel cycle engine is analyzed using the cold air
standard method. Given the conditions at state 1, compression ratio
(r), and cutoff ratio (rc) determine the efficiency and other
values listed below.
Note: The specific heat ratio and gas constant for air
are given as k=1.4 and R=0.287 kJ/kg-K respectively.
Given Values
T1 (K) = 326
P1 (kPa) = 105
r = 16.5
rc = 1.8
a) Determine the specific internal energy (kJ/kg) at state
1.
b) Determine the...

n ideal air-standard Brayton cycle operates at steady state with
compressor inlet conditions of 290 K and 95 kPa and a fixed turbine
inlet temperature of 1650 K. For a compressor pressure ratio of 10,
determine:
(a) the exhaust temperature of the cycle, in K.
(b) the back work ratio.
(c) the net work developed per unit mass flowing, in kJ/kg.
(d) the heat addition per unit mass flowing, in kJ/kg.
(e) the thermal efficiency for the cycle.

Use cold-air-standard analysis with the fluid modeled as an
ideal gas with R=0.287 kJ/kg-K and constant k=1.4. Neglect changes
in kinetic and potential energy. Consider a SSSF of air at 300 K
and 100 kPa entering the compressor of a Simple Brayton Cycle Gas
Turbine powerplant. The cycle pressure ratio is 40 and maximum
cycle temperature is 1800 K. For compressor isentropic efficiency
of 82% the compressor work input per unit mass = __ kJ/kg (enter
the nearest positive integer...

1) An air-standard Otto cycle has a compression ratio of 9. At
the beginning of the compression process, the temperature is 20°C,
and the pressure is 100 kPa. The heat added is 500 kJ/kg. Determine
the cycle efficiency, work output, and the heat rejected
2) An air-standard Otto cycle operates with a minimum
temperature of 300 K and a maximum temperature of 1700 K. The
compression ratio of the cycle is 7. At the beginning of the
compression process, the...

Air enters the compressor of an air-standard Brayton cycle with
a volumetric flow rate of 60 m3/s at 0.8 bar, 280 K. The
compressor pressure ratio is 17.5, and the maximum cycle
temperature is 1950 K. For the compressor, the isentropic
efficiency is 92% and for the turbine the isentropic efficiency is
95%.
Determine:
(a) the net power developed, in kW.
(b) the rate of heat addition in the combustor, in kW.
(c) the percent thermal efficiency of the cycle.

10) An air-standard Otto cycle has a compression ratio of 9. At
the beginning of the compression process, the temperature is 20°C,
and the pressure is 100 kPa. The heat added is 500 kJ/kg. Determine
the cycle efficiency, work output, and the heat rejected.
11)An air-standard Otto cycle operates with a minimum
temperature of 300 K and a maximum temperature of 1700 K. The
compression ratio of the cycle is 7. At the beginning of the
compression process, the pressure...

the ideal air standard Brayton cycle consists of the following
processes:
1-2 isentropic compression through a pressur ratio rp
=p2/p1
2-3 heat addition at constant pressure untill the pressure is
p3
3-4 isentropic expansion to the initial pressure
4-1 heat rejection at constnt pressure
A- show that the cycle efficiency for this cycle is
B-Air enters compressor of a gas turbine at 100kpa and
250c.for a pressure ratio of 5 and a maximum temp of
8500c , determine the thermal...

Consider a combined gas-steam power cycle. The topping cycle is
a simple Brayton cycle that has a pressure ratio of 7. Air enters
the compressor at 15 ºC at a rate of 10 kg/s and the gas turbine at
950 ºC. The bottoming cycle is a reheat Rankine cycle between the
pressure limits of 6 MPa and 10 kPa. Steam is heated in a heat
exchanger at a rate of 1.15 kg/s by the exhaust gases leaving the
gas turbine,...

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