Approximately how much energy (in joules) is contained in a quart of soda, assuming it contains about 100 grams of sugar and each gram of sugar provides about 16 kJ of energy?

• A. 160,000 J
• B. 10,000 J
• C. 1,600,000 J
• D. 16,000 J

Answer: (C)

Verified step by step guidance

1. Identify the given information: the mass of sugar is 100 grams, and each gram of sugar provides 16 kJ of energy.
2. Convert the energy per gram from kilojoules to joules, knowing that 1 kJ = 1000 J. So, multiply 16 kJ by 1000 to get energy per gram in joules.
3. Calculate the total energy by multiplying the energy per gram (in joules) by the total grams of sugar: \(\text{Total Energy} = 100 \text{ g} \times (16 \times 1000) \text{ J/g}\).
4. Perform the multiplication to find the total energy contained in the quart of soda in joules.
5. Compare your calculated value with the given options to select the correct answer.