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Question 194 of 279 in Solids, Liquids and Gases

Change of State

6 marks · Normal

A student carries out an experiment to find the specific heat capacity of water. The following results are obtained:

Experimental Data
Mass of water (kg)Initial temp (°C)Final temp (°C)Current (A)Voltage (V)Time (s)
0.8020602.012300
(a)

Calculate the total energy supplied by the heater (in J).

[2 marks]
(b)

Use the data to calculate the specific heat capacity of water based on this experiment.

[3 marks]
(c)

Suggest one reason why the value found might be higher than the actual specific heat capacity of water.

[1 mark]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) 7200 J

(b) 225 J/kg °C

(c) Some energy is lost to the surroundings · must show Heat loss to surroundings

Common mistakes: Wrong calculation of ΔT; Omitting to multiply voltage and current

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Calculates power: P = VI

A1 (a) · 1 mark · Calculates energy: E = P × t, includes correct units. (follow-through)

M2 (b) · 1 mark · Uses c = ΔQ / (m × ΔT) with energy from part (a) (follow-through)

A2 (b) · 1 mark · Correctly substitutes all values in calculation. (follow-through)

A3 (b) · 1 mark · Arrives at final value for c with suitable unit.

B1 (c) · 1 mark · Gives a sensible experimental reason (e.g. energy loss).

Worked solution

(a) Calculate energy supplied:

(b) Calculate c:

(c) The value might be high because some energy was lost to the surroundings or used to heat the apparatus.

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