Three park benches painted the same colour stand in full sun and each absorbs the same 36 kJ of solar energy over the afternoon. The aluminium bench has mass 2.0 kg (specific heat 0.90 J/K-g), the iro

Question

Three park benches painted the same colour stand in full sun and each absorbs the same 36 kJ of solar energy over the afternoon. The aluminium bench has mass 2.0 kg (specific heat 0.90 J/K-g), the iron bench 5.0 kg (0.45 J/K-g) and the tin bench 3.0 kg (0.60 J/K-g). Which bench(es) show the largest temperature rise, and what is it?

TestHub · Accepted Answer

Temperature rise Δ T = q/(mc). Aluminium: mc = 2000 × 0.90 = 1800 J/K, Δ T = 36000/1800 = 20 K. Iron: mc = 5000 × 0.45 = 2250 J/K, Δ T = 16 K. Tin: mc = 3000 × 0.60 = 1800 J/K, Δ T = 20 K. Aluminium and tin tie at the largest rise, 20 K each; the iron bench, though it has the lowest specific heat, has the largest mass and rises least. Matches (c).

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