A carnot engine is operated between two reserviors at temperatures of 500 K and 400 K. The engine receives 840 Joules of heat from the source in each cycle. Calculate (a) the amount of heat rejected to sink in each cycle (b) the efficiency of the engine, and (c) the work done in each cycle.

Explanation

To solve the problem step by step, we will follow the instructions given in the question regarding the Carnot engine operating between two reservoirs.

### Step 1: Identify the temperatures of the reservoirs
The Carnot engine operates between two temperatures:
- \( T_{\text{high}} = 500 \, \text{K} \) (hot reservoir)
- \( T_{\text{low}} = 400 \, \text{K} \) (cold reservoir)

### Step 2: Calculate the efficiency of the Carnot engine
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