Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

how many joules of energy are in a piece of gum that is 2.1 calories (k…

Question

how many joules of energy are in a piece of gum that is 2.1 calories (kcal)? ? joules

Explanation:

Step1: Recall the conversion factor

We know that \( 1 \text{ kcal} = 4184 \text{ J} \). This is the conversion factor between kilocalories (kcal) and joules (J).

Step2: Set up the conversion

We have \( 2.1 \text{ kcal} \) and we want to convert it to joules. So we multiply the number of kilocalories by the conversion factor:
\( 2.1 \text{ kcal} \times 4184 \text{ J/kcal} \)

Step3: Perform the calculation

\( 2.1 \times 4184 = 8786.4 \text{ J} \)

Answer:

\( 8786.4 \)