Coefficient of volume expansion of glycerin, *α*_{V} = 5 × 10^{–4} K^{–1}

Rise in temperature, Δ*T *= 40°C

Fractional change in its volume = Δ*V*/*V*

This change is related with the change in temperature as:

Where,

*m* = Mass of glycerine

= Initial density at *T*_{1}

= Final density at *T*_{2}

Where

(ρ_{T1} – ρ_{T2 }) / ρ_{T2} = Fractional change in density

∴Fractional change in the density of glycerin = 5×10^{−4}×40 = 2×10^{−2 }= 0.02