How much does it cost to operate a 80-{\rm W} lamp continuously for a week if the power utility rate is 25 {\rm cents}/{\rm kWh}.
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To calculate the cost of operating a 80-Watt lamp continuously for a week, we need to find the total amount of energy consumed and then multiply it by the power utility rate.
First, let's convert the power of the lamp from Watts to kilowatts (kW) because the power utility rate is given in cents per kilowatt-hour (kWh).
80 Watts = 80/1000 = 0.08 kW
Now, let's find the total energy consumed by the lamp in kilowatt-hours (kWh) over a week. There are 24 hours in a day and 7 days in a week, so:
Total energy consumed = 0.08 kW × 24 hours/day × 7 days/week
Next, calculate the cost by multiplying the total energy consumed by the power utility rate:
Cost = Total energy consumed × Power utility rate
Substituting the values:
Cost = (0.08 kW × 24 hours/day × 7 days/week) × 25 cents/kWh
Simplifying the equation, we have:
Cost = 0.08 kW × 24 hours/day × 7 days/week × 25 cents/kWh
Let's calculate the cost:
Cost = 0.08 kW × 24 hours/day × 7 days/week × 25 cents/kWh
= 0.08 × 24 × 7 × 25 cents
Thus, the cost to operate an 80-Watt lamp continuously for a week, given the power utility rate of 25 cents per kilowatt-hour, will be the calculated value.