Question

Standard house 4 After further improvements (shifting windows from the north to the south sides and replacing outmoded appliances), thermal energy is supplied to the house described above at the following rates: (i) sunlight through windows, $1.0 \mathrm{kW} ;$ (ii) people's warmth, $0.2 \mathrm{kW} ;$ and (iii) appliance warmth, 0.8 $\mathrm{kW}$ . How many kilowatts must be supplied by the heating system of this house to keep it at constant temperature?

Name: Problem 65, Chapter 12: College Physics
Uploaded: 2020-05-03T13:38:36-08:00
Duration: 4 min 25 s
Channel: Yaqub Khan

   Standard house 4 After further improvements (shifting windows from the north to the south sides and replacing outmoded appliances), thermal energy is supplied to the house described above at the following rates: (i) sunlight through windows, $1.0 \mathrm{kW} ;$ (ii) people's warmth, $0.2 \mathrm{kW} ;$ and (iii) appliance warmth, 0.8 $\mathrm{kW}$ . How many kilowatts must be supplied by the heating system of this house to keep it at constant temperature?

College Physics

Eugenia Etkina,… 1st Edition

Chapter 12, Problem 65

Instant Answer

Solved by Expert Yaqub Khan

05/03/2020

Step 1

In this case, there is no work done by the system, so the equation simplifies to $\Delta U = Q$. Show more…

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Standard house 4 After further improvements (shifting windows from the north to the south sides and replacing outmoded appliances), thermal energy is supplied to the house described above at the following rates: (i) sunlight through windows, $1.0 \mathrm{kW} ;$ (ii) people's warmth, $0.2 \mathrm{kW} ;$ and (iii) appliance warmth, 0.8 $\mathrm{kW}$ . How many kilowatts must be supplied by the heating system of this house to keep it at constant temperature?

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Key Concepts

Energy Conservation

This principle states that in any thermally balanced system, the total energy input must equal the total energy output. In the context of heating a building, the heat supplied by various sources, including the heating system and internal heat gains (like sunlight and people), must together balance the losses from the building through conduction, convection, and radiation in order to maintain a constant temperature.

Steady-State Thermal Equilibrium

Achieving a constant temperature in a building means that the system is in steady state, where the energy entering the building is exactly equal to the energy leaving it. When different sources of heat (e.g., solar gain, human body heat, and appliance heat) contribute to its warmth, the heating system only needs to supply the additional energy required to make up for any deficits relative to the heat losses.

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