Answer :
To determine how many kilojoules are in a candy bar that has 220 Calories (kcal) of energy, follow these steps:
1. Understand the conversion factor: Energy can be measured in both kilocalories (kcal) and kilojoules (kJ). The conversion factor between these two units is 1 kilocalorie = 4.184 kilojoules.
2. Multiply the number of kilocalories by the conversion factor: To convert the energy from kilocalories to kilojoules, you multiply the given energy (in kcal) by the conversion factor (4.184 kJ/kcal).
[tex]\[ \text{Energy in kJ} = \text{Energy in kcal} \times \text{Conversion factor} \][/tex]
3. Apply the conversion: Given that the candy bar has 220 kilocalories:
[tex]\[ \text{Energy in kJ} = 220 \text{ kcal} \times 4.184 \text{ kJ/kcal} \][/tex]
4. Calculate the result:
[tex]\[ \text{Energy in kJ} = 220 \times 4.184 = 920.48 \text{ kJ} \][/tex]
So, a candy bar that has 220 Calories has 920.48 kilojoules of energy.
From the given multiple-choice options:
- 920,000
- 220,000
- 52.6
- 920
The closest option to 920.48 kilojoules is 920.
Therefore, the energy content of the candy bar in kilojoules is 920 kJ.
1. Understand the conversion factor: Energy can be measured in both kilocalories (kcal) and kilojoules (kJ). The conversion factor between these two units is 1 kilocalorie = 4.184 kilojoules.
2. Multiply the number of kilocalories by the conversion factor: To convert the energy from kilocalories to kilojoules, you multiply the given energy (in kcal) by the conversion factor (4.184 kJ/kcal).
[tex]\[ \text{Energy in kJ} = \text{Energy in kcal} \times \text{Conversion factor} \][/tex]
3. Apply the conversion: Given that the candy bar has 220 kilocalories:
[tex]\[ \text{Energy in kJ} = 220 \text{ kcal} \times 4.184 \text{ kJ/kcal} \][/tex]
4. Calculate the result:
[tex]\[ \text{Energy in kJ} = 220 \times 4.184 = 920.48 \text{ kJ} \][/tex]
So, a candy bar that has 220 Calories has 920.48 kilojoules of energy.
From the given multiple-choice options:
- 920,000
- 220,000
- 52.6
- 920
The closest option to 920.48 kilojoules is 920.
Therefore, the energy content of the candy bar in kilojoules is 920 kJ.
