Question

In 11 hours an electric sytem converts 1234 kW, of electrical enereg into heat. What is the power level of the systemi show your resultin base unit Le, W,A,V,Δ,…. Note: unie ls required in your onswer and witi be marthed.

Answer 1

The power level of the system that converts 1234 kWh of energy in 11 hours is calculated using the formula P = E/t. The power level is found to be 112.182 kW, which is equivalent to 112182 W, the base SI unit for power.

Step-by-step explanation:

To find the power level of the system given that it converts 1234 kilowatt-hours (kWh) of electrical energy into heat in 11 hours, we first recognize that power is the rate at which energy is converted. The formula for power (P) in terms of energy (E) and time (t) is P = Overline{E} /t. Since we have the energy in kilowatt-hours, we'll need to convert it to kilowatts (kW) by recognizing that 1 kWh equals 1 kW of power used for one hour.

Using the given values:
P = (1234 kWh) / (11 h) = 112.182 kW

To report this in base units, we must recognize that 1 kW is the same as 1000 watts (W). Thus, the power level of the system is:
P = 112.182 kW * 1000 W/kW = 112182 W, which is the base unit of power.