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 = T_{final} - T_{initial}

T_{final} = T_{inital} + ΔT

T_{final} = 10 °C + 20 °C

T_{final} = 30 °C**Answer:**

The final temperature of the ethanol is 30 °C.