Convert 475 Cal To Joules 4184 J 475 Cal Х = 1.99 X 10 J STARTING AMOUNT 1 Sal 4184 J 475 Cal X = 1.99 X 10 J 1 Cal ADD FACTOR DELETE ANSWER RESET X( ) H 2 1.99 X 10 1 0.001 1990 4.184 114 4.75 X 105 1000 4184 475 KJ Cal Kcal J
The correct answer and explanation is:
To convert 475 Calories (Cal) to Joules (J), you use the conversion factor:
1 Cal = 4184 J.
Conversion Calculation:
475 Cal×4184 JCal=1,986,400 J.475 \, \text{Cal} \times 4184 \, \frac{\text{J}}{\text{Cal}} = 1,986,400 \, \text{J}.
Thus, 475 Calories is equal to 1.99 × 10⁶ Joules.
Explanation
The process of converting Calories (Cal) to Joules (J) involves understanding the relationship between these two units of energy. Calories (Cal) are a measure of energy typically used in food science and nutrition, while Joules (J) are the standard unit of energy in the International System of Units (SI).
The relationship between Calories and Joules is defined by a specific conversion factor:
1 Calorie (Cal) = 4184 Joules (J).
This conversion factor is derived from the energy required to raise the temperature of one kilogram of water by 1 degree Celsius at standard atmospheric pressure. Since the question specifies 475 Calories, multiplying this value by 4184 gives the total energy in Joules: 475 Cal×4184 JCal=1,986,400 J.475 \, \text{Cal} \times 4184 \, \frac{\text{J}}{\text{Cal}} = 1,986,400 \, \text{J}.
This result can also be expressed in scientific notation as 1.99 × 10⁶ J, which is a concise way to represent large numbers.
It is essential to note that Calories in the context of food labels are technically kilocalories (kcal). In physics or chemistry, “calories” (lowercase “c”) are often used, where 1 kcal = 1000 calories. However, for simplicity, food Calories (uppercase “C”) already account for this difference, meaning no further conversion is needed when using 4184 J as the factor.
This conversion highlights the energy content of foods in terms of an absolute unit (Joules), which is useful in fields like nutrition, exercise science, and thermodynamics for quantifying energy transfer or expenditure.