Calculate the coefficient

Question

7.3 A glass flask is completely filled with 100 ml alcohol and heated from 15 °C to 40 C. 6,05 ml alcohol overflows in the process. The coefficient of linear expansion of glass is 9 x 10^6 deg. C. Calculate the coefficient of cubic expansion of alcohol.

Answer 1

Find the coefficient of cubic expansion by using formula

dv = V₀ β(t₁ - t₀)

Where β is volumetric temperature expansion coefficient

β = dv/V₀ (t₁ - t₀)

V₀ = 100ml, dv = 6.05ml  t₁ = 40, t₀ = 15

β = dv/V₀ (t₁ - t₀)

β = 6.05/100(40 - 15)

β = 6.05/100(25)

β = 0.0242 cm³/ cm³ °C.