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Question

Question: How many joules are in \(500\) calories?...

How many joules are in 500500 calories?

Explanation

Solution

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 4.1844.184 times the calories. So, to get the answer, we have to multiply 500500 calories with 4.1844.184 .

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 4.1844.184 joules, so we use the following formula for our required conversion.
Joules = calories ×4.184\times 4.184 .
So, for this question, 500500 calories =500×4.184= 500 \times 4.184 Joules
=2092= 2092 Joules.
Therefore, the correct answer is that 20922092 joules are in 500500 calories.

Additional Information:
The heat, required to increase the temperature of one gram of water from 14.514.5 degrees to 15.515.5 degrees Celsius is equal to one calorie.
Calories can be shortened as cal. For example, in this question, 500500 calories can also be written as 500500 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, 20922092 joules can also be written as 2092J2092J.

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.