1.

A flask contains 100 c.c of a liquid at 10^(0) C. When it is heated to 110^(0)Cincrease in volume of the liquid appears to be 2 c.c. Find the coefficient of real expansion of the liquid. (alpha of flask is 11 xx 10^(-6)//^(0) C ).

Answer»

Solution :Coefficient of apparent expansion
`gamma_(a) = (v_(2) - v_(1))/(v_(1) (t_(2) - t_(1))) = (2)/(100 (110 - 10)) = 2 xx 10^(-4) //^(0) C `
Coefficient of cubical expansion of the FLASK`(gamma) = 3 ALPHA`
`= 3 xx 11 xx 10^(-6) = 33 xx 10^(-6)//^(0)C `
Coefficient of real expansion of the liquid, `gamma_(R) = gamma_(a) + gamma`
`= 2 xx 10^(-4) + 33 xx 10^(-6) = 2 xx 10^(-4) + 0.33 + 10^(-4)`
`therefore gamma_(R) = 2.33 xx 10^(-4) //^(@) C `


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