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An electric lamp of 120 W is used for 8 ...

An electric lamp of 120 W is used for 8 hours per day. Calculate the units of energy consumed by the lamp in one day.

A

16.00 unit

B

1.50 unit

C

0.96 unit

D

2.00 unit

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of calculating the units of energy consumed by a 120 W electric lamp used for 8 hours per day, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Power of the Lamp**: The power of the electric lamp is given as 120 W (watts). 2. **Identify the Time of Usage**: The lamp is used for 8 hours per day. 3. **Use the Formula for Energy**: The formula to calculate energy consumed is: \[ \text{Energy} = \text{Power} \times \text{Time} \] 4. **Convert Time to Seconds**: Since power is in watts (which is joules per second), we need to convert the time from hours to seconds: \[ 8 \text{ hours} = 8 \times 3600 \text{ seconds} = 28800 \text{ seconds} \] 5. **Calculate the Energy in Joules**: Now substitute the values into the formula: \[ \text{Energy} = 120 \text{ W} \times 28800 \text{ seconds} = 3456000 \text{ joules} \] 6. **Convert Joules to Kilojoules**: To convert joules to kilojoules, we divide by 1000: \[ \text{Energy in kilojoules} = \frac{3456000 \text{ joules}}{1000} = 3456 \text{ kilojoules} \] 7. **Convert Kilojoules to Units**: Since 1 unit of energy is equal to 1 kilowatt-hour (kWh), we can convert kilojoules to units: \[ 1 \text{ kWh} = 3600 \text{ kJ} \] Therefore, to find the number of units: \[ \text{Units} = \frac{3456 \text{ kJ}}{3600 \text{ kJ/unit}} \approx 0.96 \text{ units} \] ### Final Answer: The energy consumed by the lamp in one day is approximately **0.96 units**. ---
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