A 20 fluid oz. soda contains 238 Calories. (a) How many kilojoules does the soda contain? (b) For how many hours could the amount of energy in the soda light a 75-watt light bulb? (1 watt = 1 J/s)

Verified step by step guidance

1. Step 1: Convert Calories to kilocalories. Since 1 Calorie (with an uppercase 'C') is equivalent to 1 kilocalorie (kcal), the soda contains 238 kcal.
2. Step 2: Convert kilocalories to kilojoules. Use the conversion factor: 1 kcal = 4.184 kJ. Multiply 238 kcal by 4.184 kJ/kcal to find the energy in kilojoules.
3. Step 3: Calculate the total energy in joules. Since 1 kJ = 1000 J, multiply the energy in kilojoules by 1000 to convert it to joules.
4. Step 4: Determine the energy consumption of a 75-watt light bulb. Since 1 watt = 1 J/s, a 75-watt bulb uses 75 J every second.
5. Step 5: Calculate the number of hours the light bulb can be powered. Divide the total energy in joules by the energy consumption rate of the bulb (75 J/s) to find the time in seconds, then convert seconds to hours by dividing by 3600 (the number of seconds in an hour).