An aluminium container of mass 0.15 kg contains 0.25 kg of ethanol.
The specific heat capacity of aluminium is 900 J kg−1 ∘C−1900\text{ J kg}^{-1}\text{ }^{\circ}\text{C}^{-1}900 J kg−1 ∘C−1 and the specific heat capacity of ethanol is 2400 J kg−1 ∘C−12400\text{ J kg}^{-1}\text{ }^{\circ}\text{C}^{-1}2400 J kg−1 ∘C−1.
How much energy, in joules, is needed to raise the temperature of the aluminium container and the ethanol by 15 ∘C15\text{ }^{\circ}\text{C}15 ∘C?
(0.15×900×15)−(0.25×2400×15)(0.15 \times 900 \times 15) - (0.25 \times 2400 \times 15)(0.15×900×15)−(0.25×2400×15)
(0.15×900×15)+(0.25×2400×15)(0.15 \times 900 \times 15) + (0.25 \times 2400 \times 15)(0.15×900×15)+(0.25×2400×15)
(0.25+0.15)×(2400+9002)×15(0.25 + 0.15) \times \left(\frac{2400 + 900}{2}\right) \times 15(0.25+0.15)×(22400+900)×15
(0.25+0.15)×(2400+900)×15(0.25 + 0.15) \times (2400 + 900) \times 15(0.25+0.15)×(2400+900)×15
528 exam-style questions on CIE IGCSE Physics 2.2 Thermal properties and temperature, covering 2.2.1 Thermal expansion of solids, liquids and gases, 2.2.2a Internal energy and temperature, 2.2.2b Specific heat capacity, 2.2.3a Melting, boiling, condensation and solidification, 2.2.3b Evaporation, and 2.2.3c Cooling by evaporation. Each one has a worked solution and a mark scheme showing where the marks go.