458 kJ is equivalent to how many calories (cal)? (Note: 1 cal = 4.184 J)

• A. 1,095,000 cal
• B. 45,800 cal
• C. 1,095 cal
• D. 109,500 cal

Answer: (D)

Verified step by step guidance

1. Identify the given information: 458 kJ of energy and the conversion factor 1 cal = 4.184 J.
2. Convert kilojoules (kJ) to joules (J) because the conversion factor relates calories to joules. Use the relation: \$1\ \text{kJ} = 1000\ \text{J}$, so multiply 458 kJ by 1000 to get joules.
3. Set up the conversion from joules to calories using the given conversion factor: \$1\ \text{cal} = 4.184\ \text{J}$. To find calories, divide the energy in joules by 4.184 J/cal.
4. Write the full conversion expression: \(\text{calories} = \frac{458 \times 1000\ \text{J}}{4.184\ \text{J/cal}}\).
5. Perform the division to find the number of calories equivalent to 458 kJ (this step involves calculation but is not required here).