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The internal volume of a glass flask is ...

The internal volume of a glass flask is `540cm^(3)`. What volume of mercury should be kept in the flask so that the volume of the empty space remains constant at any temperature? Real expansion of mercury `=1.8 times 10^(-4@)C^(-1)` and volume expansion of glass `=2.5 times 10^(-5@)C^(-1).`

Text Solution

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Let the volume of mercury be x `cm^(3).`
To keep the volume of the empty space constant at any temperature, the expansion of mercury should be equal to that of the glass flask for the same rise in temperature. If the temperature rise is `t^(@)C`, then,
`x times 1.8 times 10^(-4) times t=540 times 2.5 times 10^(-5) times t " or, " x=75`
`therefore 75cm^(3)` of mercury should be kept in the flask.
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