A block of q,uutz of mass 13.5 g is weighed in aniline at 0^(@)C and 100^(@)C. The weighings are 8.905g and 9.29g respectively. Calculate the coefficient of cubical expansion of aniline, assuming the coefficient of cubical expansion of quartz to be zero.

A block of q,uutz of mass 13.5 g is weighed in aniline at 0^(@)C and 1

1.	A block of q,uutz of mass 13.5 g is weighed in aniline at 0^(@)C and 100^(@)C. The weighings are 8.905g and 9.29g respectively. Calculate the coefficient of cubical 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)/(V sigma g) = ((1 + gamma_(s) Delta theta))/((1 + gamma_(L) Delta theta))= (1)/(( 1 + gamma_(L) Delta theta))` `therefore gamma_(s) = 0 ` In this problem , `W_(1) = (13.5 - 8.905 ) xx 10^(-3) xx g N ` = ` 4.595 xx 10^(-3) xx g N, t_(1) = 0^(@) C ` : `W_(2) = (13.5 - 9.29) xx 10^(-3) xx g N ` `= 4.21 xx 10^(-3) xx g N , t_(2) = 100^(@) C , gamma_(s) = 0 ` `(4.21)/(4.595) = (1)/(1 + gamma_(L) 100 ) rArr 1 + gamma_(L) 100 = (4.595)/(4.21)` `gamma_(L) = (0.385)/(4.21 xx 100) = 9.166 xx 10^(-4) //^(0) ` C