1.

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 0.00001//^(0) C , coefficient of linear expansion of glass is 0.00001//^(0) C .)

Answer»

Solution :`V_(1) gamma_(1) = V_(2) gamma_(2) "" V_(1) gamma_(1)= V_(2) XX 3 alpha_(2)`
here , `V_(2) = 300 "c.c., " alpha_(2) = 0.00001 //^(@)C,`
`gamma_(1) = 0.00018//^(@) C `
`V_(1) = (V_(2) xx 3 alpha_(2))/(gamma_(1)) = (300xx 3 xx 0.00001 )/(0.000 18 ) = 50 c.c`


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