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Answer :
Sure! Let's solve the problem of converting 97.5 kilocalories (kcal) into Joules.
1. Understand the Conversion Factors:
- We know from the problem that 1 calorie (cal) is equal to 4.184 Joules (J).
- We also know that 1 kilocalorie (kcal) is equal to 1000 calories.
2. Convert Kilocalories to Calories:
- We need to convert the given 97.5 kilocalories into calories.
- Since 1 kcal = 1000 cal, multiply the number of kilocalories by 1000:
[tex]\[
97.5 \text{ kcal} \times 1000 = 97500 \text{ cal}
\][/tex]
3. Convert Calories to Joules:
- Now that we have the energy in calories, convert it to Joules using the conversion factor.
- Since 1 cal = 4.184 J, multiply the number of calories by 4.184:
[tex]\[
97500 \text{ cal} \times 4.184 \text{ J/cal} = 407940 \text{ J}
\][/tex]
Therefore, 97.5 kcal is equivalent to 407940 Joules.
1. Understand the Conversion Factors:
- We know from the problem that 1 calorie (cal) is equal to 4.184 Joules (J).
- We also know that 1 kilocalorie (kcal) is equal to 1000 calories.
2. Convert Kilocalories to Calories:
- We need to convert the given 97.5 kilocalories into calories.
- Since 1 kcal = 1000 cal, multiply the number of kilocalories by 1000:
[tex]\[
97.5 \text{ kcal} \times 1000 = 97500 \text{ cal}
\][/tex]
3. Convert Calories to Joules:
- Now that we have the energy in calories, convert it to Joules using the conversion factor.
- Since 1 cal = 4.184 J, multiply the number of calories by 4.184:
[tex]\[
97500 \text{ cal} \times 4.184 \text{ J/cal} = 407940 \text{ J}
\][/tex]
Therefore, 97.5 kcal is equivalent to 407940 Joules.
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