convert 7 calorie into joule
The correct answer and explanation is:
To convert calories into joules, the conversion factor is 1 calorie = 4.184 joules. Therefore, to convert 7 calories into joules: 7 calories×4.184 joulescalorie=29.288 joules7 \, \text{calories} \times 4.184 \, \frac{\text{joules}}{\text{calorie}} = 29.288 \, \text{joules}
Thus, 7 calories is equal to 29.288 joules.
Explanation:
The calorie (cal) is a unit of energy commonly used in food energy measurements, while the joule (J) is the SI (International System of Units) unit for energy. Both are used to quantify energy, but they are based on different measurement systems. The calorie is traditionally used in the fields of nutrition and food science, while joules are more commonly used in physics and other scientific disciplines.
The conversion between these units is based on the fact that 1 calorie is the amount of energy needed to raise the temperature of 1 gram of water by 1 degree Celsius. On the other hand, 1 joule is the energy required to move 1 coulomb of electric charge through a potential difference of 1 volt, or to apply a force of 1 newton over a distance of 1 meter.
The factor of 4.184 comes from experimental measurements of the amount of energy transferred when a specific quantity of heat is applied to water. This factor has been found to be consistent across different types of systems, making it reliable for converting between the two units. As such, the conversion allows us to work with a more universally accepted measurement of energy in scientific contexts, which is especially useful in fields like physics, engineering, and thermodynamics.