Question

How do you convert 1.41 kcal to joules?

Answer 1

Hint: The calorie and joule are the units used for energy. The conversion between the two units calorie to joule or joule to calorie is important in solving many problems. You must know that 1 calorie is equal to 4.2 Joules. As the value is given in kilocalories first change it into calories.

Complete step by step answer:
It is given that the amount of energy present in kcal is 1.41.
Here, we need to convert 1.41 kcal to Joule.
The calorie and joules are the two units of energy. Calorie is defined as the energy in the form of heat needed to warm 1 kilogram of water by 1 degree Celsius. Calorie is denoted by Cal. Joules is defined as work done on an object when a force of 1 N is applied on it and moves it for a distance of 1 m in the direction of the force.
1 calorie is equal to 4.2 Joules.
1 kilocalorie is equal to 4.2 kiloJoules
1kilocalorie = 1000 calorie
1 kiloJoule = 1000 joules
To convert 1.41 Kcal into Joules, first convert kcal into cal.
$\Rightarrow 1.41kcal = 1.41 \times {10^3}cal$
As we know,
$1cal = 4.2J$
So,
$\Rightarrow 1.41 \times {10^3} \times 4.2$
$\Rightarrow 5922J$
OR 5.90 KJ.

Therefore, 1.41 KJ is equal 5922 J.

Note: The relationship between calorie and joule are proportionate which means that the calorie is directly proportional to the joule. When the value given in terms of calorie increases, its corresponding value given in joules also increases at a rate of 4.2. When the value present in terms of calorie decreases, its corresponding value in joules also decreases at a rate of 4.2.