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Q.

A liquid whose coefficient of volume expansion is γr , completely fills a sealed metal tank, at negligible pressure. The coefficient of linear expansion of the metal is α  and the compressibility of the liquid is k. If the temperature of the system is increased by t. The pressure of the liquid will be

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a

γrtk

b

tk(γr−3α)

c

tk(γr−3α)

d

tk(γr−α)

answer is B.

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Detailed Solution

From Hooke’s law,ΔP=BΔVV=1Kγr−3αt
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