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Heat Capacity Example Problem - Find Final Temperature

Worked Example Problems

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You can calculate final temperature based on initial temperature and energy.

You can calculate final temperature based on initial temperature and energy.

Wataru Yanagida, Getty Images

This worked example problem demonstrates how to calculate the final temperature of a substance when given the amount of energy used, the mass and initial temperature.

Problem:

300 grams of ethanol at 10 °C is heated with 14640 Joules of energy. What is the final temperature of the ethanol?

Useful information:
The specific heat of ethanol is 2.44 J/g·°C.

Solution:

Use the formula

q = mcΔT

where
q = heat energy
m = mass
c = specific heat
ΔT = change in temperature

14640 J = (300 g)(2.44 J/g·°C)ΔT

Solve for ΔT:

ΔT = 14640 J/(300 g)(2.44 J/g·°C)
ΔT = 20 °C

ΔT = Tfinal - Tinitial
Tfinal = Tinital + ΔT
Tfinal = 10 °C + 20 °C
Tfinal = 30 °C

Answer:

The final temperature of the ethanol is 30 °C.

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