Problem: A 45 g aluminum spoon (specific heat 0.88 J/g°C) at 24°C is placed in 180 mL (180 g) of coffee at 85°C and the temperature of the two become equal.What is the final temperature when the two become equal? Assume that coffee has the same specific heat as water.

FREE Expert Solution

We’re being asked to determine the temperature at which the copper piece was heated initially.

We will use the heat released by the copper piece to calculate its initial temperature. Recall that heat can be calculated using the following equation:

q=mcT

q = heat, J

+qabsorbs heat
–qloses heat

 m = mass (g)
 c = specific heat capacity = J/(g·°C)
 ΔT = Tf – Ti = (°C)

A 45 g aluminum spoon (specific heat 0.88 J/g°C) at 24°C is placed in 180 mL (180 g) of coffee at 85°C and the temperature of the two become equal.

Given:

mass aluminum = 45 g
Ti aluminum = 24°C
Tf aluminum = ?
 ccopper = 0.88 J/g°C
        


mass water = 180 g
Ti water = 85
°C
Tf water = ?
 cwater = 4.184 J/(g
°C)


80% (479 ratings)
View Complete Written Solution
Problem Details

A 45 g aluminum spoon (specific heat 0.88 J/g°C) at 24°C is placed in 180 mL (180 g) of coffee at 85°C and the temperature of the two become equal.

What is the final temperature when the two become equal? Assume that coffee has the same specific heat as water.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Calorimetry concept. You can view video lessons to learn Calorimetry. Or if you need more Calorimetry practice, you can also practice Calorimetry practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Collins' class at OSU.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry - OpenStax 2015th Edition. You can also practice Chemistry - OpenStax 2015th Edition practice problems.