Question:

The value of coefficient of volume expansion of glycerine is 5×10⁻⁴K⁻¹. The fractional change in the density of glycerine for a rise of 40°C in its temperature, is:

0.025

0.02

0.01

0.015

V = V₀(1 + γΔT)
V = V₀ + V₀γΔT
(V - V₀)/V₀ = γΔT
Now since mass M is constant
M/ρ - M/ρ₀ = M/ρ₀
= γΔT