The apparent coefficient of expansion of a liquid measured in a copper vessel is C and in a silver vessel is S. If gamma_c denotes the real (volume) expansion behaviour through the copper data, express the coefficient of linear expansion of silver.

(C + gamma_c + S)/3
(C - gamma_c + S)/3
(C + gamma_c - S)/3
(C - gamma_c - S)/3

Correct answer: (C + gamma_c - S)/3

Solution

Equating the real expansion measured in both vessels and writing gamma_c = 3*alpha_copper gives alpha_silver = (C + gamma_c - S)/3.

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