A carnot engine operates between 500 K and 400 K. If it absorbs `6 xx 10^(5)` cal. heat at higher temperature, how much work per cycle can the engine perform ?

Explanation

To solve the problem of the Carnot engine operating between two temperatures, we will follow these steps:

### Step 1: Understand the Given Information
We have a Carnot engine that operates between a high temperature (T_h) of 500 K and a low temperature (T_c) of 400 K. The engine absorbs heat (Q_h) of \(6 \times 10^5\) calories from the hot reservoir.

### Step 2: Calculate the Efficiency of the Carnot Engine
The efficiency (\(\eta\)) of a Carnot engine is given by the formula:
\[
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