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Q.

A piece of metal weighs 46 g in air. When it is immersed in a liquid of specific gravity 1.24 at 270C it weighs 30 g. When the temperature of liquid is raised to 420C the metal piece weighs 30.5 g. Specific gravity of liquid at 420C is 1.20. Calculate the coefficient of linear expansion of the metal.

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a

136200/ 0C

b

1432000/0C

c

1541000/ 0C

d

123200/ 0C

answer is B.

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Detailed Solution

W0 = mg = 46 gmat θ1 = 270C W1 = 30 gm = w0-B1 B1= 46-30 B1 = 16 = V1ρ1gat θ2 = 420C ⇒ W2 = 30.5 gm = W0-B2 B2 = 15.5 = V2ρ2g ∴ B2B1 = V2p2V1p1 15.516 = (1+3α×15)×1.21.24 αs = [(15.516×1.241.2)-1]×145 αs = 2.31×10-5/0C = 143200/0C

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A piece of metal weighs 46 g in air. When it is immersed in a liquid of specific gravity 1.24 at 270C it weighs 30 g. When the temperature of liquid is raised to 420C the metal piece weighs 30.5 g. Specific gravity of liquid at 420C is 1.20. Calculate the coefficient of linear expansion of the metal.