The coefficient of volume expansion of glycerine is . What is the fractional change in its density for a 30 °C rise in temperature?

Given:

Coefficient of volume expansion of glycerine,

Rise in temperature,

Fractional change in volume

We know that,

Which can also be written as, 

If taken relation into consideration we have,

Where, mass of glycerine

Final density at

Initial density at

Fractional change in density

Therefore, Fractional change in density