Answer:
A) Q'_in = 304.66 hp
B) T_max = 1109.29 °C
Explanation:
We are given;
compression ratio; r = 18
cutoff ratio; r_c = 1.5
Power; W' = 200 hp
Temperature; T1 = 17°C = 290 K
A) To find the rate of heat addition, we will use the derived formula;
Q'_in = (W' × r^(k - 1) × k(r_c - 1))/(r^(k - 1) × k(r_c - 1)) - ((r_c)^(k) - 1)
Where k is a constant = 1.4
Thus;
Q'_in = (200 × 18^(1.4 - 1) × 1.4(1.5 - 1))/((18^(1.4 - 1) × 1.4(1.5 - 1)) - ((1.5^(1.4)) - 1)
Q'_in = 304.66 hp
B) To find the maximum temperature, we will use the Formula;
T_max = T1 × r^(k - 1) × r_c
T_max = 290 × 18^(1.4 - 1) × 1.5
T_max = 1382.29 K
Converting to °C gives;
T_max = 1109.29 °C
