Question
A vessel is completely filled with 500cc of water and 800cc of mercury. When the vessel is heated through 40°C, 8cc of water overflows. Find the coefficient of volume expansion of mercury.
Given:
Solution
Let on heating, ∆Vhg, ∆VW and ∆VV be the increase in volume of mercury, water and vessel respectively.
Water being lighter than mercury, floats over mercury and on heating only water will overflow.
The volume of water overflowing is given by,
...(1)
Increase in volume of water is,
Volume of overflow water is,
Now from (1),
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But,
Therefore,
, is the coefficient of volume expansion of mercury.
Water being lighter than mercury, floats over mercury and on heating only water will overflow.
The volume of water overflowing is given by,
...(1) Increase in volume of water is,
Volume of overflow water is,
Now from (1),
But,
Therefore,
, is the coefficient of volume expansion of mercury.
