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How much mercury must be placed inside a...

How much mercury must be placed inside a glass flask, having an internal volume of 300 c.c., so that the volume of the remaining space inside the flask may be constant at all temperatures ? (Coefficient of real expansion of mercury = `0.00018//""^(@)C`, coefficient of linear expansion of glass is `0.00001//""^(@)C`.)

Text Solution

Verified by Experts

`V_(1)gamma_(1)=V_(2)gamma_(2)" "V_(1)gamma_(1)=V_(2)xx3alpha_(2)`
Here, `V_(2)=300c.c.,alpha_(2)=0.00001//""^(@)C`,
`gamma_(1)=0.00018//""^(@)C`
`V_(1)=(V_(2)xx3alpha_(2))/gamma_(1)=(300xx3xx0.00001)/0.00018=50c.c`
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