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Question 24 of 56 in Change of State

Practical: investigate the specific heat capacity of a substance

3 marks · Easy

A student wants to find the specific heat capacity of a 0.5 kg block. The electric heater supplies energy for 400 s. The current is 3.0 A and voltage is 12 V. The temperature rise is 16 °C.

(a)

Calculate the energy supplied by the heater.

[1 mark]
(b)

Calculate the specific heat capacity of the block.

[2 marks]

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(a) 14,400 J

(b) 1,800 J/kg °C

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Calculates energy: V × I × t = 12 × 3 × 400 = 14,400 J

M2 (b) · 1 mark · Uses c = energy / (m × Δθ) in correct substitution (follow-through)

A1 (b) · 1 mark · Final answer for specific heat capacity is 1,800 J/kg °C (follow-through)

Worked solution

a) Energy supplied = V × I × t = 12 × 3.0 × 400 = 14,400 J. b) Specific heat capacity: c = energy / (m × Δθ) = 14,400 / (0.5 × 16) = 14,400 / 8 = 1,800 J/kg °C.

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