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A household refrigerator's rated power, 100W, if it is used for 10 hours everyday, calculate the cost of running it for 30 days when one unit of electricity is 30. Calculate the total cost.

Physics

ScanSolve AI Answer

Answer

₦80

Step-by-step solution

4 steps

Here's how to calculate the cost of running the refrigerator:

  1. Calculate the energy consumed by the refrigerator per day.

    The power of the refrigerator is 200 W200 \text{ W}, and it runs for 10 hours10 \text{ hours} each day.

    Eday=Power×Time per dayE_{day} = \text{Power} \times \text{Time per day} Eday=200 W×10 h=2000 WhE_{day} = 200 \text{ W} \times 10 \text{ h} = 2000 \text{ Wh}
  2. Convert the daily energy consumption from Watt-hours (Wh) to kilowatt-hours (kWh).

    Since 1 kWh=1000 Wh1 \text{ kWh} = 1000 \text{ Wh}:

    Eday,kWh=2000 Wh1000 Wh/kWh=2 kWhE_{day, kWh} = \frac{2000 \text{ Wh}}{1000 \text{ Wh/kWh}} = 2 \text{ kWh}
  3. Calculate the total energy consumed over 20 days.

    The refrigerator runs for 20 days20 \text{ days}.

    Etotal=Eday,kWh×Number of daysE_{total} = E_{day, kWh} \times \text{Number of days} Etotal=2 kWh/day×20 days=40 kWhE_{total} = 2 \text{ kWh/day} \times 20 \text{ days} = 40 \text{ kWh}
  4. Calculate the total cost of running the refrigerator.

    One unit of electricity (1 kWh) costs ₦2₦2.

    Total Cost=Etotal×Cost per kWh\text{Total Cost} = E_{total} \times \text{Cost per kWh} Total Cost=40 kWh×₦2/kWh=₦80\text{Total Cost} = 40 \text{ kWh} \times ₦2/\text{kWh} = ₦80

    The total cost of running the refrigerator for 20 days is ₦80\boxed{₦80}.

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