The coefficient of linear expansion of aluminum is 24 × 10^-⁶K^-¹ and the coefficient of volume expansion of olive oil is 0.68 × 10^-³K^-¹. A novice cook, in preparation for deep-frying some potatoes fills a 1.00-liter aluminum pot to the brim and heats the oil and the pot from an initial temperature of 15°C to 190°C. To his consternation some olive oil spills over the top. How much?

Question

Quizplus · Accepted Answer

The volume expansion of the oil is greater than the expansion of the pot. The change in volume of the oil is calculated using the formula ΔV = βV₀ΔT, and the change in volume of the pot is calculated using ΔV = 3αV₀ΔT. The difference gives the spilled oil.

The Coefficient of Linear Expansion of Aluminum Is 24 ×