Changes of state

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Question 10
Medium

An aerospace engineer is analysing an unknown metal sample inside a vacuum furnace. The table below shows the specific heat capacities of several candidate materials:

MaterialSpecific heat capacity (J/kg∘C\text{J/kg}^\circ\text{C}J/kg∘C)
Platinum130
Cadmium260
Brass380
Zinc390
Nickel440
Aluminium900

The engineer heats the unknown sample from a solid to a liquid state at a constant rate.

The graph shows how the temperature of the sample varies with time during the heating process.

Heating curve of the unknown metal sample

The engineer has a sample of mass 1.5 kg1.5\text{ kg}1.5 kg and records that it requires 292.5 kJ292.5\text{ kJ}292.5 kJ of thermal energy to raise its temperature from the lowest temperature to the highest temperature within its liquid state.

a.

Use the graph to calculate the specific heat capacity of the substance. Suggest which material from the table it is most likely to be.

[6]
b.

Suggest two reasons why the engineer cannot be certain of this identification.

[3]

Changes of state Questions

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