Question

The coefficient of volume expansion of glycerin is 49 × 10^–5 K^–1. What is the fractional change in its density for a 30 °C rise in temperature?

Answer 1

Coefficient of volume expansion of glycerin, α_V = 49 × 10^–5 K^–1

Rise in temperature, ΔT = 30°C

Fractional change in its volume =

This change is related with the change in temperature as:

Where,

m = Mass of glycerine

= Initial density at T₁

= Final density at T₂

Where,

= Fractional change in density

∴Fractional change in the density of glycerin = 49 ×10^–5 × 30 = 1.47 × 10^–2