Question

An amount of heat of 300 kJ/s is received in the Carnot engine from the heat source tank at 460 °C, and the temperature rejected to the heat sink is at 50 °C. Calculate the developed force and reject heat.

a) Developed force: 230kN/s, Reject heat: 150kJ/s
b) Developed force: 150kN/s, Reject heat: 230kJ/s
c) Developed force: 300kN/s, Reject heat: 300kJ/s
d) Developed force: 460kN/s, Reject heat: 50kJ/s

Answer 1

In a Carnot engine, the developed force can be calculated using the formula: Developed Force = (Heat input - Heat rejected) / Time. The reject heat can be found by subtracting the heat rejected from the heat input. Therefore, the correct answer is option a) Developed force: 230kN/s, Reject heat: 150kJ/s.

Step-by-step explanation:

In a Carnot engine, the developed force can be calculated using the formula:

Developed Force = (Heat input - Heat rejected) / Time

Here, the heat input is 300 kJ/s and the heat rejected is 300 - 150 = 150 kJ/s.

Plugging in these values, we get:

Developed Force = (300 - 150) / Time = 150 kJ/s / Time

To find the reject heat, we can subtract the heat rejected from the heat input:

Reject heat = Heat input - Heat rejected

Substituting the given values, we get:

Reject heat = 300 kJ/s - 150 kJ/s = 150 kJ/s

Therefore, the correct answer is option a) Developed force: 230kN/s, Reject heat: 150kJ/s.