A density bottle contains 104.5gms of a liquid at 34degree centigrade on heating it to 100 degree centigrade the mass of liquid expelled is 4.5gms .Then find the coefficient of apparent expansion of liquid.

Let the density of the liquid in the density bottle be `d` Then volume of the liquid at 34degree centigrade V1=md=104.5d volume of the liquid expelled when it is heated to 100degree centigrade(V2-V1)=4.5d Coefficient of apparent expansion of liquid=[V2-V1]/[V1*(100-34)] =[4.5d]/[104.5d*66] =0.000652458

0.0007/degree centigrade

let the density of the liquid in the density bottle be d. given that mass of liquid m1=104.5gms t1=34 m2=m1+4. =104.5+4.5 =109gms we know that coefficient of apparent expansion =(V2-V1)/V1*(t2-t1) =(m2/d-m1/d)/m1/d*(V2-V1) =(109/d-104.5/d)/104.5/d*(66) =(4.5/d)/6897/d =4.5/6897 =0.00065245759 =0.0007/degree centigrade