A steam engin intakes 100g of steam at `100^(o)C` per minute and cools it down to `20^(o)C`. Calculate the heat rejected by the steam engine per minute. Latent heat of vaporization of steam `=540 cal g^(-1)`.

Explanation

To solve the problem of calculating the heat rejected by the steam engine per minute, we will break it down into two main steps: the condensation of steam to water and the cooling of the water from 100°C to 20°C.

### Step 1: Calculate the heat rejected during condensation

1. **Identify the mass of steam**: The mass of steam intake is given as 100 grams.
2. **Identify the latent heat of vaporization**: The latent heat of vaporization of steam is given as 540 cal/g.
3. **Use the formula for heat rejected during condensation**:
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