The coefficient of linear expansion of aluminum is 24 × 10^-6 K^-1 and the coefficient of volume expansion of olive oil is 0.68 × 10^-3 K^-1. A novice cook, in preparation for deep-frying some potatoes, fills a 1.00-L 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? A) 0.11 L B) 0.12 L C) 0.13 L D) 0.14 L E) 0.15 L

Question

Quizplus · Accepted Answer

The volume expansion of the oil is greater than the expansion of the aluminum pot. The change in volume of the oil is calculated using the formula ΔV = βV₀ΔT, where β is the coefficient of volume expansion. The change in volume of the pot is calculated using the formula ΔV = 3αV₀ΔT, where α is the coefficient of linear expansion. The difference between these two gives the spilled oil volume.

The Coefficient of Linear Expansion of Aluminum Is 24 ×