Book Title: University Physics with Modern Physics (12th Edition)by Young, Freed

Question

Book Title: University Physics with Modern Physics (12th Edition)by Young, Freedman

Chapter 17 Question 17.83 (Homework Question)

You are making a pesto for your pasta and have a cylindricalmeasuring cup 10.0 cm high made of ordinary glass [ = 2.7 x10-5 (o C) -1] that is filled witholive oil [ = 6.8 x 10-4 (o C)-1] to a height of 1.00 mm below the top of thecup. Initially, the cup and the oil are at room temperature(22 o C). You get a phone call and forget aboutthe olive oil, which you inadvertently leave on the hotstove. The cup and oil heat up slowly and have commontemperature. At what temperature will the olive oil start tospill out of the cup?

Not sure where to start to solve this problem?

Explanation / Answer

apply the formula for volume thermal expansion V = *V_0 * T the volume of a cylinder is equal to its circular base area timesits height calculate V needed to spill, set it equal to the propertiesas in the above formula and solve for T

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