The coefficient of apparent volume expansion of a liquid in a copper vessel is C and in a silver vessel is S. The coefficient of volume expansion of copper is γc. What is the coefficient of linear expansion of silver?
A
(C+γc+S)3
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B
(C−γc+S)3
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C
(C+γc−S)3
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D
(C−γc−S)3
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Solution
The correct option is C(C+γc−S)3 γac=γl−γc ∴C=γl−γc .....(1) γas=γl−γs ∴S=γl−γs ......(2) From (1) and (2) S+γs=C+γc γs=C−S+γc 3αs=C−S+γc ⇒αs=C−S+γc3