A specific gravity bottle is filled up to the brim with mercury of 400g, at $0^{0}$ C. When heated to $90^{0}$ C, the mass of the mercury that overflows from the specific gravity bottle is : (Coefficient of apparent expansion of mercury in glass is $\frac{1}{6500} /^{0} C$

5.46g

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6.54g

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10.92g

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13.08 g

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Solution

The correct option is B 5.46g
Coefficient of apparent expansion is the ratio of liquid spilled out to the liquid left in the bottle per unit degree change in temperature.
$γ_{a} = \frac{m a s s s p i l l e d}{m a s s l e f t \times Δ θ}$
Let the mass spilled be x.
$γ_{a} = \frac{x}{(400 - x) (90)}$
$⟹ x = 5.46 g$

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A specific gravity bottle is filled up to the brim with mercury of 400g, at 00C. When heated to 900C, the mass of the mercury that overflows from the specific gravity bottle is : (Coefficient of apparent expansion of mercury in glass is 16500/0C

The correct option is B 5.46gCoefficient of apparent expansion is the ratio of liquid spilled out to the liquid left in the bottle per unit degree change in temperature.γa=massspilledmassleft×ΔθLet the mass spilled be x.γa=x(400−x)(90)⟹x=5.46g

A specific gravity bottle is filled up to the brim with mercury of 400g, at $0^{0}$ C. When heated to $90^{0}$ C, the mass of the mercury that overflows from the specific gravity bottle is : (Coefficient of apparent expansion of mercury in glass is $\frac{1}{6500} /^{0} C$