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Date November 2010 Marks available 3 Reference code 10N.2.HL.TZ0.A2
Level Higher level Paper Paper 2 Time zone Time zone 0
Command term Calculate Question number A2 Adapted from N/A

Question

This question is about fuel for heating.

A room heater burns liquid fuel and the following data are available.

Density of liquid fuel=8.0×102 kgm3Energy produced by 1 m3 of liquid fuel=2.7×1010 JRate at which fuel is consumed=0.13 gs1Temperature at which air enters heater=12 °CTemperature at which air leaves heater=32 °CSpecific heat capacity of air=990 Jkg1K1

All the energy output of the room heater raises the temperature of the air moving through it. Use the data to calculate the mass of air that moves through the room heater in one second.

Markscheme

temperature change=20 (K);

mass of air=440020×990;

=0.22 kg;

Award [3] for bald correct answer.

Examiners report

Almost all could recognize that the temperature change was 20 K and could use their earlier value of power output. However the numerical manipulations were sometimes weak (often leading to ludicrously large air masses moving through the heater in 1 second.

Syllabus sections

Core » Topic 8: Energy production » 8.1 – Energy sources
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