A four-cylinder four-stroke engine is modeled using the air standard Otto cycle (two engine revolutions per cycle). Given the conditions at state 1, total volume (V1) of each cylinder, compression ratio (r), rate of heat addition (Q), and engine speed in RPM, determine the efficiency and other values listed below. The gas constant for air is R=0.287 kJ/kg-K.

T1 = 300 K

P1 = 100 kPa

V1 = 500 cm^3

r = 10

Q = 60 kW

Speed = 5600 RPM

Please explain how to get the answers below.

a) Determine the total mass (kg) of air in the engine.

answer = 0.0023229

b) Determine the specific internal energy (kJ/kg) at state 1.

answer = 214.07

c) Determine the specific volume (m^3/kg) at state 1.

answer = 0.86100

d) Determine the relative specific volume at state 1.

answer = 621.2

e) Determine the relative specific volume at state 2.

answer = 62.120

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

answer = 730.04

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

answer = 2433.5

h) Determine the specific internal energy (kJ/kg) at state 2.

answer = 536.10

i) Determine the cleearance volume (cm^3) for a single cylinder.

answer = 50

j) Determine the specific internal energy (kJ/kg) at state 3.

answer = 1089.6

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

answer = 1373.77

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

answer = 4579.2

m) Determine the relative specific volume at state 3.

answer = 9.4750

n) Determine the relative specific volume at state 4.

answer = 94.750

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

answer = 625.32

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

answer = 208.44

q) Determine the specific internal energy (kJ/kg) at state 4.

answer = 454.18

r) Determine the net power output (kW).

answer = 33.9717

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

answer = 56.620