A heat engine is cooled by 10 litres of water. The engine has an efficiency of 50% and delivers 5kW of mechanical power. Find the rise in temperature of water in 1 minute. `(C_(w)= 4180 J kg^(-1)K^(-1))`

Explanation

To solve the problem, we need to find the rise in temperature of water when a heat engine delivers mechanical power while being cooled by the water. Here’s a step-by-step breakdown of the solution:

### Step 1: Determine the Input Power
The efficiency of the heat engine is given as 50%, and the output mechanical power is 5 kW. We can express the relationship between output power, input power, and efficiency as follows:

\[ \text{Efficiency} = \frac{\text{Output Power}}{\text{Input Power}} \]
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