A 1500 W room heater is used daily for 4 hours during winter. If the cost per kWh is $0.5, what is the monthly (30 days) expense in using the room heater?
1.5 kW times 4 hours (daily use) is 6 kW-hours per day. That would cost 3.00 dollars a day at $0.50 per kW-hour.
Multriply that by 30 days in a month.
To find the monthly expense in using the room heater, we need to calculate the total energy consumption and then multiply it by the cost per kilowatt-hour (kWh).
First, let's find the energy consumption per hour:
Energy consumption per hour = Power (W) × Time (hours)
Energy consumption per hour = 1500 W × 4 hours
Energy consumption per hour = 6000 Wh (watt-hours)
Now, let's convert the energy consumption to kilowatt-hours (kWh):
Energy consumption in kWh = Energy consumption per hour (Wh) ÷ 1000
Energy consumption in kWh = 6000 Wh ÷ 1000
Energy consumption in kWh = 6 kWh
Next, let's calculate the total energy consumption in 30 days:
Total energy consumption in 30 days = Energy consumption in kWh × Number of days
Total energy consumption in 30 days = 6 kWh × 30 days
Total energy consumption in 30 days = 180 kWh
Finally, let's calculate the monthly expense:
Monthly expense = Total energy consumption in 30 days × Cost per kWh
Monthly expense = 180 kWh × $0.5/kWh
Monthly expense = $90
Therefore, the monthly expense in using the room heater for 4 hours daily during winter, with a cost per kWh of $0.5, is $90.