The fractional change in density of glycerin for a rise of 40C in its temp. is __

Question

The value of the coefficient of volume expansion of glycerin is 5 × 10^-4 K^-1.

(NOTE: Please, do give the solution, and thanks)

Answer 1

Coefficient of volume expansion of glycerin, α_V = 5 × 10^–4 K^–1

Rise in temperature, ΔT = 40°C

Fractional change in its volume = ΔV/V

This change is related with the change in temperature as:

Where,

m = Mass of glycerine

= Initial density at T₁

= Final density at T₂

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

Comments

Thanks..
It was very helpful.