Chemistry Calorimetry Solution: The specific heat of a certain type of cooking oil...

Solution: 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?

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

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