The coefficient of volume expansion of olive oil is 0.68 × 10^-³K^-^1.A 1-liter glass beaker is filled to the brim with olive oil at room temperature. The beaker is placed on a range and the temperature of the oil and beaker increases by 25 C°. As a result, 0.0167 liters of olive oil spill over the top of the beaker. What is the coefficient of linear expansion of glass?

Question

Quizplus · Accepted Answer

The volume expansion of the oil is given by ΔV = βV₀ΔT, where β is the coefficient of volume expansion. The volume expansion of the beaker is ΔV_beaker = 3αV₀ΔT, where α is the coefficient of linear expansion of glass. The spilled volume is the difference: 0.0167 = (β - 3α)V₀ΔT. Solving for α gives α = 4 × 10⁻⁶ K⁻¹.

The Coefficient of Volume Expansion of Olive Oil Is 0