The coefficient of real expansion of a liquid is 7.52 xx10^(-4)//^(@)C and the coefficient of apparent expansion of the liquid is 7.25 xx10^(-4)//^(@) C. Find the coefficient of linear expansion of the material of the vessel.

The coefficient of real expansion of a liquid is 7.52 xx10^(-4)//^(@)C

1.	The coefficient of real expansion of a liquid is 7.52 xx10^(-4)//^(@)C and the coefficient of apparent expansion of the liquid is 7.25 xx10^(-4)//^(@) C. Find the coefficient of linear expansion of the material of the vessel.
Answer» Solution :Coefficient of real expansion of the liquid `(gamma _(R)) = 7.52 xx 10 ^(-4) //^(@)C` Coefficient of apparent expansion of the liquid `, (gamma _(a)) = 7.25 xx 10 ^(-4) //^(@)C` we know ` gamma _(R) = gamma _(a) + gamma + gamma _(a) + 3 alpha , 3 alpha = gamma _(R) - gamma _(s) = 7.52 xx 10 ^(-4) = 0.27 xx 10 ^(-4)` `alpha = ( 0.27 xx 10 ^(-4))/(3) = 0.09 xx 10 ^(-4)` `therefore` Coefficient of LINEAR expansion of VESSEL material `= 9 xx 10 ^(-6) //^(@)C`