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Grade C
We can link efficiency to Sankey Diagrams:

You can see that the efficiency is:
Efficiency = kinetic energy =
300 J = 0.3 = 30 %
chemical energy 1000 J
Efficiency can be expressed as a
fraction, a decimal, or a percentage.
We can link efficiency to power
as well.
Example
A crane uses 5000 W to lift a 200 kg
mass 3 metres in 10 seconds. What is its efficiency?
1. Work out the potential
energy the mass gains by being lifted:
Gravitational potential energy (J)
= mass (kg) × acceleration due to gravity (m/s2) × vertical
height (m)
= 200 kg × 10 m/s2 × 3 m = 6000 J
2. Work out the power that is used to
lift the load:
Power (W) = energy (J) ÷ time (s)
= 6000 J ÷ 10 s = 600 W
3. Now work out the efficiency:
Efficiency = 600 W × 100 % = 12 %
5000 W
We can make our homes use less energy
by:
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Installing double glazing;
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Insulating the loft;
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Using energy-saving light bulbs;
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Cavity wall insulation;
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Draught-proofing doors and
windows.
Each of these will cost us money, but
we will get the money back in the savings we make. This is the
payback time:
Payback time = cost of insulation ÷
saving made per year.
Loft insulation may cost £250 to
install, and saves £50 a year on heating bills. The payback time
is 250 ÷ 50 = 5 years. |