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Question
the energy produced by the snack in an experiment is calculated to be 14,928 j/g. what is the energy of the snack in calories/gram? snack energy = ? cal/g or kcal/g 1000 cal = 1 kcal remember there are 4.18 j per 1 calorie.
Step1: Convert Joules to calories
We know that \( 1 \text{ cal} = 4.18 \text{ J} \), so to convert \( 14928 \text{ J/g} \) to cal/g, we use the conversion factor. The formula is \( \text{cal/g} = \frac{\text{J/g}}{4.18} \).
Substituting the value, we get \( \frac{14928}{4.18} \approx 3571.29 \text{ cal/g} \).
Step2: Convert calories to kilocalories (Calories)
We know that \( 1 \text{ kcal} = 1000 \text{ cal} \) (and \( 1 \text{ Cal} = 1 \text{ kcal} \)). So to convert cal/g to Cal/g, we divide by 1000.
\( \text{Cal/g} = \frac{3571.29}{1000} \approx 3.57 \text{ Cal/g} \) (or we can do the conversion in one step: \( \text{Cal/g}=\frac{\text{J/g}}{4.18\times1000} \), substituting \( 14928 \) we get \( \frac{14928}{4180}\approx 3.57 \)).
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\( 3.57 \) (or more precisely, if we calculate \( \frac{14928}{4.18\times1000}=\frac{14928}{4180}\approx 3.57 \))