A microwave oven has a power requirement of 1250 W. A frozen dinner requires 6.5 min to heat on full power. If the cost of electricity is 12 cents per kWh, how much does it cost to heat the dinner?
cost=.12$/kwh*6.5min*1hr/60min*1.25kw= .12*6.5*1.25/60
To calculate the cost of heating the dinner, you need to find the energy consumption of the microwave oven during the heating process.
First, convert the power requirement from watts (W) to kilowatts (kW):
1250 W ÷ 1000 = 1.25 kW
Next, determine the energy consumption in kilowatt-hours (kWh) by multiplying the power by the time:
1.25 kW × 6.5 min = 8.125 kWh
Finally, calculate the cost by multiplying the energy consumption by the cost per kWh:
8.125 kWh × $0.12/kWh = $0.975
Therefore, it costs $0.975 to heat the dinner.
To calculate the cost of heating the dinner, we need to determine the amount of energy consumed by the microwave oven and then multiply it by the cost per unit of electricity.
Step 1: Calculate the energy consumed by the microwave oven
The power requirement is given as 1250 W (watts).
Power (in watts) represents the rate at which energy is consumed. It is calculated as the product of power (in watts) and time (in hours).
Given:
Power requirement = 1250 W
Time = 6.5 min = 6.5/60 hours (since there are 60 minutes in an hour)
Energy consumed = Power × Time
= 1250 W × (6.5/60) hours
Step 2: Convert units and calculate energy consumption in kilowatt-hours (kWh)
Since the cost of electricity is given in kWh, we need to convert the energy consumed from watt-hours to kilowatt-hours.
Energy consumed (in watt-hours) = 1250 W × (6.5/60) hours
Energy consumed (in kilowatt-hours) = (1250 W × (6.5/60) hours) / 1000 (since 1 kilowatt = 1000 watts)
Step 3: Calculate the cost of electricity
The cost of electricity is given as 12 cents per kWh.
Cost of electricity = Energy consumed (in kilowatt-hours) × Cost per kWh
Finally, we can substitute the values into the formula to find the answer.
Let's calculate!
Energy consumed (in kilowatt-hours) = (1250 W × (6.5/60) hours) / 1000
= 0.140104 kWh (rounded to six decimal places)
Cost of electricity = 0.140104 kWh × $0.12/kWh
= $0.01681 (rounded to two decimal places)
Therefore, it costs approximately $0.02 to heat the dinner.