You are making pesto for your pasta and have a cylindrical m

You are making pesto for your pasta and have a cylindrical measuring cup 11.5 cm high made of ordinary glass [=2.7×105(C)1] that is filled with olive oil [=6.8×104(C)1] to a height of 1.20 mm below the top of the cup. Initially, the cup and oil are at room temperature (22.0 C). You get a phone call and forget about the olive oil, which you inadvertently leave on the hot stove. The cup and oil heat up slowly and have a common temperature.

Part A) At what temperature will the olive start to spill out of the cup?

Solution

Area of expansion is same for both the glass and oil

= [ (11.5 - 0.12) 6.8 * 10^-4 - 11.5 * 2.7 * 10^-5 ] * t = 0.12 cm

t = 16.16^oC

Final temperature = 22.0 + 16.16

= 38.16°