topic badge

3.045 Energy unit conversions

Lesson

Just as we use different units to measure length or distance (i.e. metres, kilometres, light years), different units are used for measuring the amount of energy in food and drink.

 

Kilojoules and calories

The most common unit of energy is the kilojoule (kJ). As we know, the prefix 'kilo' means one thousand, so $1$1 kilojoule (kJ) is equal to $1000$1000 joules (J).

Calories are an older unit of energy in food. The term 'calorie' can be confusing, because $1$1 Calorie (Cal), spelt with an uppercase C, is equal to 1 kilocalorie (kcal).

Although kilojoules (kJ) are the standard unit of energy for food and drink in Australia, kilocalories (kcal) still appear on some nutritional labels, and the term 'calories' is often used to describe them.

A kilocalorie (kcal) is defined as the amount of energy required to raise the temperature of $1$1 kg of water, by $1$1 degree. One kilocalorie (kcal) is equal to $4.184$4.184 kilojoules (kJ), or approximately $4.2$4.2 kJ.

While calories and joules are both metric units, only the joule is part of the International System (SI) of Units.

 

 

Nutritional energy units
$1$1 kilojoule (kJ) $=$= $1000$1000 joules (J)

 

$1$1 Calorie (Cal) $=$= $1$1 kilocalorie (kcal)

 

$1$1 kilocalorie (kcal) $=$= $4.184$4.184 kilojoules (kJ)

 

Practice Questions

Question 1

Convert $35$35 kilocalories into kilojoules, using $1$1 kilocalorie$=$=$4.184$4.184 kilojoules.

QUESTION 2

Convert $2363.96$2363.96 kilojoules into kilocalories, using $1$1 kilocalorie$=$=$4.184$4.184 kilojoules.

Outcomes

MS11-3

solves problems involving quantity measurement, including accuracy and the choice of relevant units

What is Mathspace

About Mathspace