A family consumes 12 kg of LPG in 30 days. The average energy consumed per day if the calorific value of LPG is 50 kJ/kg is

Options

A. 10,000 J/day
B. 15,000 J/day
C. 20,000 J/day
D. 25,000 J/day.

Explanation

To find the average energy consumed per day by a family that consumes 12 kg of LPG in 30 days, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total LPG Consumption**:
The family consumes 12 kg of LPG in 30 days.

2. **Determine the Calorific Value of LPG**:
The calorific value of LPG is given as 50 kJ/kg. This means that for every kilogram of LPG burned, 50 kilojoules of energy is released.

3. **Calculate the Total Energy Released by 12 kg of LPG**:
To find the total energy released when 12 kg of LPG is consumed, we use the formula:
\[ \text{Total Energy} = \text{Mass of LPG} \times \text{Calorific Value} \]
Substituting the values:
\[ \text{Total Energy} = 12 \, \text{kg} \times 50 \, \text{kJ/kg} = 600 \, \text{kJ} \]

4. **Convert Total Energy from kJ to Joules**:
Since 1 kJ = 1000 Joules, we convert 600 kJ to Joules:
\[ 600 \, \text{kJ} = 600 \times 1000 \, \text{J} = 600000 \, \text{J} \]

5. **Calculate the Average Energy Consumed Per Day**:
To find the average energy consumed per day, we divide the total energy by the number of days (30 days):
\[ \text{Average Energy per Day} = \frac{\text{Total Energy}}{\text{Number of Days}} = \frac{600000 \, \text{J}}{30} = 20000 \, \text{J} \]

### Final Answer:
The average energy consumed per day is **20000 Joules**.

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