1. Data are provided for the fuel-air dual cycle in the following table (compression ignition

engine cycle),

Fuel

Compression ratio, &

Equivalence ratio,

Ambient temperature (T)), K

Ambient pressure (Pi), kPa

Polytropic index for compression, nj

Polytropic index for expansion, n

Ratio of pressure rise at constant volume, a

h of the fuel @ 298K, kJ/kmol

h of CO₂ @ 298K, kJ/kmol

h of H₂O(g) @ 298K, kJ/kmol

h of O₂ @ 298K, kJ/kmol

h of N₂ @ 298K, kJ/kmol

e, of the fuel (assume constant), kJ/kmol/K

of the CO₂ (assume constant), kJ/kmol/K

, of the H₂O (assume constant), kJ/kmol/K

, of the O₂ (assume constant), kJ/kmol/K

, of the N₂ (assume constant), kJ/kmol/K

Determine the following:

C10H22

16

0.8

298

100

1.38

1.25

1.8

-249,659

-393,546

-241,847

0

0

100

55

45

30

30

a. Chemical reaction equation

b. The lower heat value of the fuel at T2 (the temperature at the end of compression)

c. Ratio of volume increase ß during constant-pressure combustion

d. Maximum cycle pressure

e. Net work of the cycle

f. mep of the cycle

g. Thermal efficiency of the cycle