Question

How many joules are in $500$ calories?

Answer 1

Hint : Both the unit joules and calories are used for the measurement of energy. The relation between these two units is proportionate, that means, if there is any change in calorie, it will change its equivalent value in joules. The energy in joules is equal to $4.184$ times the calories. So, to get the answer, we have to multiply $500$ calories with $4.184$ .

Complete step-by-step solution:
To convert a calorie reading to a joule reading, we have to multiply the energy by the conversion ratio. As we know, that one calorie is equivalent to \[4.184\] joules, so we use the following formula for our required conversion.
Joules = calories $\times 4.184$ .
So, for this question, $500$ calories $= 500 \times 4.184$ Joules
$= 2092$ Joules.
Therefore, the correct answer is that $2092$ joules are in $500$ calories.

Additional Information:
The heat, required to increase the temperature of one gram of water from $14.5$ degrees to $15.5$ degrees Celsius is equal to one calorie.
Calories can be shortened as cal. For example, in this question, $500$ calories can also be written as $500$ cal.
Joule is the energy equal to the force exerted on an object of one Newton at a distance of one meter. One joule is equal to the heat energy due to the current dissipated by one ampere through the one ohm resistance per second.
In the metric system, the derived SI unit of energy is the joule. This unit is generally abbreviated as J. For example, in this question, $2092$ joules can also be written as $2092J$.

Note:
The amount of energy which is required to move a one coulomb electrical charge through a potential difference of one volt is also equal to one joule. Furthermore, one joule is also equal to one watt-second.