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Answer :
To convert the energy from Calories to joules, we need to use the conversion factor between these units. Here's how you can convert:
1. Understand the Units:
- 1 Calorie (also sometimes written as 1 kilocalorie or 1 Cal) is equivalent to 4184 joules. This is the conversion factor we will use.
2. Identify the Number of Calories:
- The problem states that a can of soda has [tex]\(1.50 \times 10^2\)[/tex] Calories. This means the can contains 150 Calories.
3. Apply the Conversion Factor:
- To convert Calories to joules, multiply the number of Calories by the conversion factor of 4184 joules per Calorie.
- So, we calculate: [tex]\(150 \text{ Calories} \times 4184 \text{ joules/Calorie}\)[/tex].
4. Calculate the Energy in Joules:
- Performing the multiplication gives 627600 joules.
5. Match with Options:
- Looking at the options provided, [tex]\( 6.28 \times 10^5 \)[/tex] J matches our calculation, which is 627600 J when expressed in scientific notation.
Therefore, the energy content of the soda in joules is [tex]\(6.28 \times 10^5\)[/tex] J.
1. Understand the Units:
- 1 Calorie (also sometimes written as 1 kilocalorie or 1 Cal) is equivalent to 4184 joules. This is the conversion factor we will use.
2. Identify the Number of Calories:
- The problem states that a can of soda has [tex]\(1.50 \times 10^2\)[/tex] Calories. This means the can contains 150 Calories.
3. Apply the Conversion Factor:
- To convert Calories to joules, multiply the number of Calories by the conversion factor of 4184 joules per Calorie.
- So, we calculate: [tex]\(150 \text{ Calories} \times 4184 \text{ joules/Calorie}\)[/tex].
4. Calculate the Energy in Joules:
- Performing the multiplication gives 627600 joules.
5. Match with Options:
- Looking at the options provided, [tex]\( 6.28 \times 10^5 \)[/tex] J matches our calculation, which is 627600 J when expressed in scientific notation.
Therefore, the energy content of the soda in joules is [tex]\(6.28 \times 10^5\)[/tex] J.
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