Question

Express $60.1$ cal of energy in units of joules.

Answer 1

Hint: This question is based upon the conversion of one unit of energy into another. Calorie is the energy in the form of heat to heat 1 kilogram of water by 1 degree Celsius. Joule is the energy unit which is generally used to express larger units of energy.

Complete step by step answer:
The amount of heat energy needed to heat 1 kilogram of water by 1 degree Celsius is called 1 calorie of energy. When a force of 1 N acts on an object and pushes it for a distance of 1 m in the direction of the force, work is done (energy is transferred), which is known as 1 joule of energy.
The relation between Calorie and Joule can be numerically written as-
1 calorie = 4.2 joules
Calorie and joule have a proportional relationship. As a result, the calorie and joule are directly proportional. That is to say-
As the calorie value rises, the corresponding joule value rises at a rate of 4.2.
As the calorie value decreases by 4.2, the corresponding joule value decreases by the same amount.
So, 60.1 calorie in joule can be written as
$60.1 \times 4.2 = 252.42$$J$

Note: The ability to work is described as energy. Multiple units may be used to calculate electricity. The units of energy are calorie and joule. Calorie and joule have a proportional relationship. This means that any change in calorie value would result in a change in calorie equivalent in Joules.