Question #132889

0.5 kg of air is taken through a constant pressure cycle. At the beginning of

adiabatic compression are 96.5 kN/m 2 and 15 0 C. The pressure ratio of

compression is 6. Constant pressure heat addition occurs after adiabatic

compression until the volume is doubled. Take γ = 1.4 and R= 0.289 kJ/kg K.

Determine for the cycle:

(a) The pressure, volume and temperature at cycle state points. (b) The heat received.

(c) The thermal efficiency. (d) The work ratio.

(e) The heat rejected.

adiabatic compression are 96.5 kN/m 2 and 15 0 C. The pressure ratio of

compression is 6. Constant pressure heat addition occurs after adiabatic

compression until the volume is doubled. Take γ = 1.4 and R= 0.289 kJ/kg K.

Determine for the cycle:

(a) The pressure, volume and temperature at cycle state points. (b) The heat received.

(c) The thermal efficiency. (d) The work ratio.

(e) The heat rejected.

Expert's answer

mass of air =0.5 kg, P_{1=}96.5 kN/m^{2},T_{1}= 15 ^{0}C,compression ratio=6, Heat addition takes place at constant pressure to volume become doubled.

(a)

,

for finding v1 we use ideal gas equation

(b)

(c) Thermal efficiency

(d)

Work ratio=

Work ratio= 0.01

for heat rejected

it is heat rejected

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