DP Physics (first assessment 2025)

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Question SPM.2.HL.TZ0.8

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Date May Specimen-2023 Marks available [Maximum mark: 6] Reference code SPM.2.HL.TZ0.8
Level HL Paper 2 Time zone TZ0
Command term Calculate, Explain, Suggest Question number 8 Adapted from N/A
8.
[Maximum mark: 6]
SPM.2.HL.TZ0.8

Small pieces of solid paraffin with a total mass of 30 g at a temperature of 42 °C are mixed with 150 g of liquid paraffin at a temperature of 240 °C. The mixture is stirred until an equilibrium temperature is reached.

The following data for paraffin are available:

Specific heat capacity of solid paraffin = 0.7 kJ kg−1 K−1
Specific heat capacity of liquid paraffin = 2.13 kJ kg−1 K−1
Specific latent heat of fusion of paraffin = 220 kJ kg−1
Melting point of paraffin = 47 °C

(a)

Calculate the theoretical equilibrium temperature of the mixture.

[3]

Markscheme

0.030×0.7×103×5+0.030×220×103+0.030×2.13×103T-47

=0.150×2.13×103240-T

One heat capacity term correctly substituted ✓

latent heat correctly substituted 0.030×220×103 ✓

T=190 «°C» ✓

(b.i)

When the experiment was carried out, the equilibrium temperature of the mixture was found to be different from the theoretical value. 

Suggest the reason for this difference.

[2]

Markscheme

Experimental temperature will be lower ✓

Heat loss to the environment ✓

(b.ii)

The mixture was held in a large metal container during the mixing.

Explain one change to the procedure that will reduce the difference in (b)(i).

[1]

Markscheme

Insulate the container

OR

Carry out experiment quicker

OR

Use larger volumes of substances ✓