A vessel is half filled with a liquid at 0°C. When the vessel is heated to 100°C, the liquid occupies 3/4 volume of the vessel. Coefficient of apparent expansion of the liquid is

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0.5/°C

0.05/°C

0.005/°C

0.0005/°C

answer is C.

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Detailed Solution

Volume of vessel = V
Initial volume of liquid V₁ = V/2
Final volume of liquid V₂ = 3V/4
Initial temp t₁ = 0⁰C
Final temp t₂ = 100⁰C
We have $large gamma_a=frac {V_2-V_1}{V_1(t_2-t_1)}=frac {frac 34V-frac V2}{frac V2(100-0)}=0.005/^0C$

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