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Date May 2018 Marks available 1 Reference code 18M.3.sl.TZ2.12
Level SL Paper 3 Time zone TZ2
Command term Calculate Question number 12 Adapted from N/A

Question

The process of converting heat to electricity is limited by its thermal (Carnot) efficiency.

\({\text{Thermal efficiency}} = \frac{{{\text{temp. of steam at source (K) }}-{\text{ temp. heat sink (K)}}}}{{{\text{temp. of steam at source (K)}}}} \times 100\)

Calculate the thermal efficiency of a steam turbine supplied with steam at 540°C and using a river as the choice of sink at 23 °C.

[1]
a.

Power plants generating electricity by burning coal to boil water operate at approximately 35% efficiency.

State what this means and suggest why it is lower than the thermal efficiency.

[2]
b.

Markscheme

«\(\frac{{813{\text{K}} - 296{\text{K}}}}{{813{\text{K}}}}\) × 100» = 64 «%»

[1 mark]

a.

35% of chemical/potential energy available in coal is transformed to electricity/electrical energy

 

not all chemical energy from burning fuel transferred into heating water

OR

energy dispersed elsewhere/energy lost due to friction of moving parts

OR

heat loss to the surroundings

 

Accept “stored energy” for “potential energy”.

[2 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Options » C: Energy » C.1 Energy sources

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