Problem

The specific heat of a certain type of cooking oil is 1.75 J/(g • °C). How much heat energy is needed to raise the temperature of 2.02 kg of this oil from 23 °C to 191 °C?

Solution

We’re being asked to **determine the amount of heat (Q)** needed to raise the temperature of **2.02 kg cooking oil** from **23 ˚C to 191 ˚C**. The ** amount of heat Q** is given by:

where m = mass (in grams), c = specific heat, ΔT = change in temperature = final T – initial T. We’re given the following values:

m = **2.02 kg**

c = **1.75 J/g • ˚C**

ΔT = 191 ˚C – 23 ˚C = **168 ˚C**