One 50g ice cute is dropped into 200g of water in a thermally insulated containe

Question

One 50g ice cute is dropped into 200g of water in a thermally insulated container. If the water is initially at 25 C, and the ice comes directly from a freezer at -15 C, what is the final temperature (in the unit of C) at thermal equilibrium? An aluminum cup of 100 capacity is completely filled with glycerin at 22 C. How much (in the unit of c=3) glycerin, if any, wil1 spill out of the cup if the temperature of both the cup and the glycerin is increased to 28 C? (The coefficient of volume expansion of glycerin is 5.1 times 1.4/c?

Explanation / Answer

1] Mc[T - To] = m'c'[To - T]

0.2(4.184)[(273+25) - To] = 0.05(2.108)[To - (-15+273)]

=> 7.9393[298 - To] = [To - 258]

=> To = [(7.9393 x 298) + 258]/(1 + 7.9393) = 293.5254 K = 20.525 oC.

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