Solving a Carnot Engine Question: Power Output and Wasted Energy Calculation

[joe215]

Homework Statement

A heat engine operates in a Carnot cycle between 80 degrees C and 350 degrees C. It absorbs 21,000 J of energy per cycle from the hot reservoir. a. THe duration of each cycle is 1s. What is the mechanical power output of the engine? b. How much energy does it expel in each cycle by heat?

The Attempt at a Solution

Part A

Ideal Carnot Efficiency= 1- Tc/Th= .7714

Power out=efficiency*power in

Part B

Wasted Energy=power in-power out


Is that the correct strategy to solve this problem?

 

[Saladsamurai]

It sounds to me like the question is asking (in part b) for the Heat Transfer out of the system in which case you mat want to consider writing out the Energy Balance for a closed system.

For part (a) if by "power in" you mean the net rate of heat transfer into the system, then yes, that is correct.

But, strictly speaking, there is no "power in".

 

[thomate1]

Yes, your approach is correct for solving this problem. However, it would be helpful to show your calculations and provide a final answer for both parts a and b. This will help ensure that your solution is accurate and can be easily understood by others. Additionally, it would be beneficial to explain the significance of the Carnot cycle and how it relates to power output and wasted energy calculations in heat engines. This will demonstrate a deeper understanding of the topic and provide context for your solution. Overall, good job on using the correct strategy to solve this problem!