A block of quartz of mass 13.5 g is weighed in aniline at 0^(@)Cand100^(@)C. The weighings are 8.905 g and 9.29 g respectively, Calculate the coefficient of cubicat expansion of aniline, assuming the coefficient of cubical expansion of quartz to be zero.

A block of quartz of mass 13.5 g is weighed in aniline at 0^(@)Cand100

1.	A block of quartz of mass 13.5 g is weighed in aniline at 0^(@)Cand100^(@)C. The weighings are 8.905 g and 9.29 g respectively, Calculate the coefficient of cubicat expansion of aniline, assuming the coefficient of cubical expansion of quartz to be zero.
Answer» SOLUTION :We know the ratio of thrusts or loss of weight in liquid is `W_(2)/W_(1)=(Th.)/(Th)=(V^(1)sigma^(1)g)/(Vsigmag)=((1+gamma_(s)Deltatheta))/((1+gamma_(L)Deltatheta))=1/((1+gamma_(L)Deltatheta))` `thereforegamma_(s)=0` In this problem, `W_(1)=(13.5-8.905)xx10^(-3)xxgN` = `4.595xx10^(-3)xxgN,t_(1)=0^(@)C,` `W_(2)=(13.5-9.29)xx10^(-3)xxgN` = `4.21xx10^(-3)xxgN,t_(2)=100^(@)C,gamma_(s)=0` Substituting in the above equation. `(4.21)/(4.595)=1/(1+gamma_(L)100)rArr1+gamma_(L)100=4.595/4.21` `gamma_(L)=0.385/(4.21xx100)=9.166xx10^(-4)//""^(@)C`