Question

It is observed that 55.00 mL of water at 20∘C completely fills a container to the brim. When the container and the water are heated to 60∘C, 0.35 g of water is lost. What is the coefficient of volume expansion of the container? Density of water at 60 ∘C is 0.98324 g/mL. answer in 1/c

Answer 1

The volume of the water as a function of temperature is given by

And the capacity of the container as a function of the temperature is given by

The volume of water lost is the relative increase in the volume. i.e

Measured at 60 oC, the volume of the lost water is

That gives us

The expansion coefficient of the water at 40 ^oC is

Putting it in the equation

Hence the coefficient of volume expansion of the container is 2.232 x 10^-4.