In: Mechanical Engineering

1) A gas turbine operates on an ideal Joule cycle using air (γ = 1.4; R = 0.287 kJ/kg K) as working fluid. Air enters the compressor at temperature of 27◦C and pressure of 1.25 bar and is compressed to 7.6 bar. When the maximum cycle temperature is limited to 800 oC, calculate,

(i) the thermal efficiency and work ratio of the cycle

(ii) the temperature of air exiting the turbine and the change in specific entropy of turbine process if the isentropic efficiency of the turbine is 85%.

2) For an ideal Joule cycle, discuss the effects of pressure ratio on the thermal efficiency using T-s diagram.

If (2 * 10^-1) the mole of diatomic ideal gas ( γ = 1.4)
experiences a carnot cycle with temperatures of 22oC and 25oC. The
initial pressure is Pa = 5x105Pa and during expansion
isothermally at a higher temperature the volume increases 1.5
times.
a) Determine the pressure and volume at points a, b, c and
draw the graph
b) Determine Q, W, and ΔU for each step and for the entire
cycle
c) Determine efficiency directly from results (b)

A gas turbine operates as a cold-air standard Brayton cycle. Air
enetrs the compressor at 300K and 100kPa and is compressed to
700kPa. During the heat addition process in the combustor, the
temperature of the air increases to 1000K. The turbine and
compressor can be assumed to be operating isentropically. Evaluate
specific heat at 300K.
a. thermal efficiency of the cycle?
b. net work of the cycle (kj/kg)?
c. Back work ratio?

A gas turbine air- standard cycle operates between a low
pressure of 14.7 Psia and a high pressure of 60 Psia. The
temperature of the gas at the inlet to the compressor and turbine
are 60 and 1000 respectively. If 40,000 ft3 /min. of air enter the
compressor and assuming k=1.41, compute:
a) The theoretical net power output, and
b) The air – standard thermal efficiency

An ideal gas with γ = 1.4 occupies 6.0 L at 300 K and
130 kPa pressure. It is compressed adiabatically until its volume
is 2.0 L. It's then cooled at constant pressure until it reaches
300 K, then allowed to expand isothermally back to its initital
state.
1.Find the net work done on the gas.

An ideal Rankine cycle operates with a turbine inlet pressure of
600 psia and a turbine inlet temperature of 526 oF. The steam is
isentropically expanded through the turbine to 15 psia as
illustrated on the T-s diagram shown below. Using the Mollier
diagram, determine the enthalpy at the turbine inlet, in BTU/lbm,
under these operating conditions. State your answer in whole
numbers.

An ideal Rankine cycle operates with a turbine inlet pressure of
900 psia and a turbine inlet temperature of 572 oF. The steam is
isentropically expanded through the turbine to 5 psia as
illustrated on the T-s diagram shown below. Using the Mollier
diagram, determine the percent moisture at the turbine outlet under
these operating conditions. State your answer in whole numbers.

2) An ideal gas cycle operates via the following 4
stages:
1→2 The gas is compressed adiabatically
2→3 The gas is ignited and heated at constant pressure
3→4 The gas expands adiabatically
4→1 Heat is removed from the gas at constant pressure
a) Draw the cycle on a pressure-volume diagram, labelling the
states
1, 2, 3, and 4 and showing where heat enters the cycle and
where
heat is removed from the cycle. Identify the highest pressure
phigh
and lowest...

A
steam power plant operates on the simple ideal rankine cycle. the
steam enters the turbine at 4 MPa and 500 C and leaves it at 50 kPa
and 150 C. the water leaves the condenser as a saturated liquid and
is subsequently displaced to the boiler by means of a pump at a
temperature of 85 C, which is the isentrophic efficiency of the
turbine?

A
gas turbine operates with two stages of compression with an
intercooler between the stages. Air enters the first stage at 100
kPa and 300 K. The pressure ratio across each compressor stage is 5
to 1 and each stage has an isentropic efficiency of 85%. Air exits
the intercooler at 330 K. The maximum cycle temperature is 1500 K
and the cycle has a single turbine stage that works isentropically.
Calculate the mass flow rate of the air if...

A
gas turbine operates with two stages of compression with an
intercooler between the stages. Air enters the first stage at 100
kPa and 300 K. The pressure ratio across each compressor stage is 5
to 1 and each stage has an isentropic efficiency of 85%. Air exits
the intercooler at 330 K. The maximum cycle temperature is 1500 K
and the cycle has a single turbine stage that works isentropically.
Calculate the exit temperature of each compressor stage and...

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