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-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? A) 0.11 liters B) 0.12 liters C) 0.13 liters D) 0.14 liters E) 0.15 liters

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Quizplus · Accepted Answer

The change in volume of the olive oil is calculated using the formula for volume expansion: ΔV_oil = β_oil * V_initial * ΔT. The change in volume of the aluminum pot is calculated using the formula for linear expansion, but since it's a volume, we use: ΔV_pot = 3 * α_aluminum * V_initial * ΔT. The difference between these two gives the spilled volume. Calculating these gives approximately 0.11 liters.

The Coefficient of Linear Expansion of Aluminum Is 24 ×