A plastic bucket contains 5 litres of water at `20^(@)C`. One litre of hot water at `80^(@)C`. is poured into it. Find the final temperature of water, given that the density of water is 1 kg/litre. Neglect the absorption of heat by the bucket and loss to the surrounding

Explanation

To find the final temperature of the water when 1 litre of hot water at \(80^\circ C\) is poured into 5 litres of water at \(20^\circ C\), we can use the principle of conservation of energy. The heat lost by the hot water will be equal to the heat gained by the cold water.

### Step-by-step Solution:

1. **Identify the masses of the water:**
- The mass of the cold water (\(m_1\)) is given by the volume multiplied by the density:
\[
m_1 = 5 \, \text{litres} \times 1 \, \text{kg/litre} = 5 \, \text{kg}
...