A 150-g block of copper is taken from a kiln and quickly placed into a beaker of negligible heat capacity containing 500 g of water.The water temperature rises from 10°C to 30°C.Given c_Cu = 0.10 cal/g⋅°C,and c_water = 1.00 cal/g⋅°C,what was the temperature of the kiln?

Question

Quizplus · Accepted Answer

Using the formula for heat transfer, we have:
(150 g)(0.10 cal/g⋅°C)(Tf - 1000°C) + (150 g)(0.10 cal/g⋅°C)(1000°C - Ti) = -(500 g)(1.00 cal/g⋅°C)(Ti - 10°C) - (500 g)(1.00 cal/g⋅°C)(Ti - 30°C)
where Tf is the final temperature of the copper block, Ti is the initial temperature of the copper block, and 1000°C is the temperature of the kiln.
Simplifying and solving for Ti, we get Ti = 697°C. Therefore, the answer is D.

A 150-G Block of Copper Is Taken from a Kiln