Properties Of Solids And Liquids Question 401

Question: A piece of metal weighs 45g in air and 25g in a liquid of density1.5 × 103kg - m-3 kept at30oC . When the temperature of the liquid is raised to40C, , the metal piece weighs 27g. The density of liquid at40C , is1.25×103kgm3 . The coefficient of linear expansion of metal is

Options:

A) 1.3×103/C

B) 5.2×103/C

C) 2.6×103/C

D) 0.26×103/C

Show Answer

Answer:

Correct Answer: C

Solution:

[c] V1=4(525)gd1 and V2=(4527)gd2

V1V2=2018×d2d1

or V1V1(1+rmetal×10)=2018×[d1(1+r×10)d1]

After simplifying, we get α=γmetal=2.6×103/oC



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