In an Ideal Otto cycle the air standard efficiency is 56.5%. if t
| In an Ideal Otto cycle the air standard efficiency is 56.5%. if the heat added during the constant volume process is 1000 kJ/kg, determine the work done.
A. 1000 kJ/kg
B. 1500 kJ/kg
C. 565 kJ/kg
D. None of the above
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Concept:
Otto Cycle:
Thermal efficiency of Otto Cycle:
\({η _{otto}} = 1 - \frac{1}{{{r^{\gamma - 1}}}} = \frac{W}{Q_in}\)
Compression ratio: r = v1/v2
Calculation:
Given:
ηotto = 56.6 % = 0.565, Qin = 1000 kJ/kg
Now, we know that
\({η _{otto}} = \frac{W}{Q_in} \Rightarrow 0.565 = \frac{W}{1000}\)
∴ W = 565 kJ/kg
