Which of the following is the correct conversion of 23.4 kJ to calories? (1 cal = 4.184 J)

• A. 5,590 cal
• B. 4,184 cal
• C. 0.179 cal
• D. 98.0 cal

Answer: (A)

Verified step by step guidance

1. Identify the given information: 23.4 kJ (kilojoules) needs to be converted to calories, and the conversion factor is 1 cal = 4.184 J.
2. Convert kilojoules to joules by using the relationship \$1 \text{ kJ} = 1000 \text{ J}$. So, multiply 23.4 kJ by 1000 to get the energy in joules.
3. Set up the conversion from joules to calories using the given conversion factor. Since 1 cal = 4.184 J, use the ratio \(\frac{1 \text{ cal}}{4.184 \text{ J}}\) to convert joules to calories.
4. Multiply the energy in joules by the conversion factor to get the energy in calories: \(\text{Energy in cal} = \text{Energy in J} \times \frac{1 \text{ cal}}{4.184 \text{ J}}\).
5. Perform the multiplication and division to find the number of calories equivalent to 23.4 kJ (do not calculate the final number here, just set up the expression).