Question 1
2 marksA 1 kg block of copper and a 1 kg block of aluminium, both at room temperature, are each given 9000 J of energy by heating.
Specific heat capacity of copper = 385 J/kg °C
Specific heat capacity of aluminium = 900 J/kg °C
Which block has the bigger temperature rise? Give a reason for your answer.
Model answer
The copper block has the bigger temperature rise. Copper has a lower specific heat capacity, so less energy is needed to raise the temperature of each kilogram by 1 °C, and the same energy produces a bigger temperature rise (about 23 °C for copper compared with 10 °C for aluminium).
Explanation
For equal masses and equal energy, Δθ = ΔE ÷ (m c), so the temperature rise is inversely proportional to the specific heat capacity. A material with a low specific heat capacity heats up (and cools down) quickly.
Mark scheme
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1 mark
copper
-
1 mark
copper has a lower specific heat capacity, so less energy is needed to raise the temperature of each kilogram by 1 °C
allow temperature rise = energy ÷ (m × c), so a smaller c gives a bigger rise; allow calculated values 23 °C and 10 °C