Which of the following is the correct value of 116 calories expressed in joules (J)? (Use 1 cal = 4.184 J)

• A. 27.7 J
• B. 0.278 J
• C. 484 J
• D. 485 J

Answer: (C)

Verified step by step guidance

1. Identify the conversion factor given: 1 calorie (cal) = 4.184 joules (J).
2. Write the conversion setup to convert 116 calories to joules using dimensional analysis: \$116\ \text{cal} \times \frac{4.184\ \text{J}}{1\ \text{cal}}$.
3. Multiply the numerical values: 116 multiplied by 4.184, keeping track of units to ensure calories cancel out and joules remain.
4. Calculate the product to find the energy in joules (do not round prematurely to maintain accuracy).
5. Compare the calculated value to the given options to determine which is closest to the correct conversion.