**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.