Question

When the inside of the house is at a constant temperature, the energy transferred from the heating system to the inside of the house equals the energy transferred from the house to the outside. Calculate, in kilowatts, the power of the heating system used to keep the inside of the house at a constant temperature. 1 kilowatt (kw) = 1 kilojoule per second (kj/s)

Answer 1

To calculate the power of the heating system used to keep the inside of the house at a constant temperature, use the formula Power = Energy transferred / Time. Assuming the inside temperature is 20°C and the outside temperature is 0°C, the power of the heating system required to maintain the temperature is 4 kW.

Step-by-step explanation:

To calculate the power of the heating system used to keep the inside of the house at a constant temperature, we can use the formula:

Power = Energy transferred / Time

In this case, since the inside of the house is at a constant temperature, the energy transferred from the heating system to the inside of the house is equal to the energy transferred from the house to the outside. So, the power of the heating system is equal to the rate of energy transfer from the house to the outside.

Let's assume that the inside temperature is Tin and the outside temperature is Tout. The power of the heating system can be calculated as:

Power = Heating Rate per degree x (Tin - Tout)

In this case, the inside temperature is kept at 20°C and the outside temperature is 0°C. So the power of the heating system required to maintain the temperature is:

Power = 200 W/°C x (20°C - 0°C) = 4000 W = 4 kW