To determine how many calories are in 50 kilojoules (kJ), we need to follow these steps:
1. Convert kilojoules to joules:
- We know that 1 kilojoule (kJ) is equal to 1,000 joules (J).
- Given 50 kilojoules, we can convert it to joules:
[tex]\[
50 \text{ kJ} \times 1,000 \frac{\text{J}}{\text{kJ}} = 50,000 \text{ J}
\][/tex]
2. Convert joules to calories:
- We know that 1 calorie (cal) is equal to 4.184 joules (J).
- To convert joules to calories, we use the conversion factor:
[tex]\[
\frac{1 \text{ cal}}{4.184 \text{ J}}
\][/tex]
- Therefore, the number of calories in 50,000 joules is:
[tex]\[
50,000 \text{ J} \times \frac{1 \text{ cal}}{4.184 \text{ J}} \approx 11,950.2868 \text{ cal}
\][/tex]
3. Round to the nearest whole number:
- The final step is to round the result to the nearest whole number:
[tex]\[
11,950.2868 \text{ cal} \approx 11,950 \text{ cal}
\][/tex]
Thus, there are approximately 11,950 calories in 50 kilojoules.
