An electric space heater draws 15.5 A from a 120 V source. It is operated, on the average, for 5.0 h each day. How much energy in kWh does in consume in 30 days? At 11 per kWh, how much does it cost to operate the heater for 30 days?
energy=Power*time=(15.5*120)(5hrs/day*30day) in kwh
cost? kwh * .11
To find the energy consumed in kWh by the space heater in 30 days, we can use the formula:
Energy (in kWh) = Power (in kW) * Time (in hours).
First, let's calculate the power in kW:
Power (in kW) = Current (in A) * Voltage (in V) / 1000.
Given that the electric space heater draws 15.5 A from a 120 V source, we can plug these values into the formula:
Power (in kW) = 15.5 A * 120 V / 1000 = 1.86 kW.
Next, we can calculate the energy consumed in kWh:
Energy (in kWh) = Power (in kW) * Time (in hours).
Given that the heater is operated for 5.0 hours each day, we can calculate the energy consumed in 30 days:
Energy (in kWh) = 1.86 kW * 5.0 h/day * 30 days = 279 kWh.
Now, let's calculate the cost of operating the heater for 30 days. The cost is determined by multiplying the energy consumption (in kWh) by the price per kWh:
Cost = Energy (in kWh) * Price per kWh.
Given that the price per kWh is $11, we can calculate the cost:
Cost = 279 kWh * $11 = $3069.
Therefore, it will cost $3069 to operate the heater for 30 days.