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Lesson 2 of 6

Refrigerators and heat pumps.

About 35 minutes · 9 practice questions

A fridge does not make cold, it moves heat from the box to the room. How much heat it moves for each joule of electricity, why a freezer costs more, and how the same loop heats a house.

Step 1 of 9 · A heat pump

Heat flows on its own from hot to cold. A fridge makes it flow the other way, from the cold food to the warm kitchen, and pays for that with a compressor’s work. The Scene shows a household fridge in cutaway, with its refrigerant loop.

Step 1 of 9

A heat pump

Show the heat moved turns the pipes to glass. The refrigerant boils in the evaporator, the ice box at the top of the fridge, soaking up heat from the food. The compressor squeezes the vapour, and it condenses in the condenser, the black grille on the back, giving the heat out to the room. Touch the back of a fridge at home: it is warm.

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Step 2 of 9

Coefficient of performance

A fridge’s coefficient of performance is the heat it takes from the box for each joule of electricity:

COP=QcW\text{COP} = \frac{Q_c}{W}⁠

The ideal limit, Carnot’s, depends only on the refrigerant’s two temperatures, in kelvin: TcTh−Tc\dfrac{T_c}{T_h - T_c}⁠. The refrigerant boils about 10 K below the Inside temperature and condenses about 12 K above the Room temperature.

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Step 3 of 9

A colder box

The wider the gap between the box and the room, the further the pump must lift the heat. Predict what will happen when the fridge becomes a freezer.

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Step 4 of 9

Heating a house

Turn the loop round, so that the cold side is outdoors and the hot side indoors, and you have a heat pump: an air conditioner on heating. Conservation of energy sets how much heat comes out on the hot side:

Qh=Qc+WQ_h = Q_c + W⁠

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Step 5 of 9

A heatwave

To hold the inside temperature, the fridge must take out all the heat that leaks in through the walls. It runs part of the time and rests the rest. Predict what will happen when the room warms up.

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Step 6 of 9

A freezer

The refrigerant has to boil colder than the box, so heat flows into it, and condense hotter than the room. In the model it boils 10 K below the box and condenses 12 K above the room.

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Step 7 of 9

The electricity

Under Show the heat moved the arrows show the heat drawn from the box, the electricity going into the compressor, and the heat given out to the room.

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Step 8 of 9

Through the walls

The insulation in the walls slows the heat, but does not stop it. All the heat that leaks in, the fridge has to pump out again.

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Step 9 of 9

A day of cooling

On the electricity bill you pay for energy, not power: how long the compressor ran, times how much it drew each second.

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Still of the Refrigerators and heat pumps 3D scene
Interactive scene

Loading the interactive version…

Each step sets up the Scene for you, and a control marked “fixed” stays put for that step.

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Practice · Choose

Why is the black grille on the back of the fridge warm while it runs?

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Practice · Calculate

The refrigerant boils in the box at 267.15 K and condenses in the grille at 307.15 K. The ideal (Carnot) cooling coefficient of performance is TcTh−Tc\dfrac{T_c}{T_h - T_c}⁠, and a household fridge reaches about 40% of it. What is this fridge’s COP, the joules of heat it takes from the box for each joule of electricity?

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Practice · Predict, then look

Turn the Inside temperature down from 277.15 K (fridge) to 255.15 K (freezer), with the room unchanged. What will happen to the coefficient of performance?

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Practice · Calculate

Turn the same loop into a heat pump that warms a house: the cold box outside, the hot grille indoors. The cooling COP is 2.67. How many joules of heat come out indoors for each joule of electricity?

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Practice · Predict, then look

Raise the Room temperature from 295.15 K (kitchen) to 311.15 K (heatwave). What will happen to the share of the time the compressor runs?

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Practice · Calculate

Inside temperature is locked at Freezer, 255.15 K, and the room is the Kitchen. The refrigerant now boils at 245.15 K and condenses at 307.15 K. What is the ideal, Carnot, coefficient of performance, TcTh−Tc\dfrac{T_c}{T_h - T_c}⁠?

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Practice · Calculate

In the kitchen, while the compressor runs, the loop draws 187 J of heat out of the fridge box each second, and the coefficient of performance is 2.672.67⁠. How much electricity, in watts, does the compressor draw while it runs?

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Practice · Calculate

In the kitchen, at 295.15 K, 27 W of heat get into the box, at 277.15 K, through the walls and door. The Room temperature rises to a Heatwave, 311.15 K. How much heat will get in each second now?

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Practice · Calculate

In the kitchen the compressor runs only 14.4% of the time, and while it runs it draws 70 W. How much electrical energy, in kilojoules, does the fridge use in a day?