Questions: 181 × 10^6 kJ to kcal Express the energy in kilocalories to three significant figures.

Solution Steps

To convert energy from kilojoules (kJ) to kilocalories (kcal), we use the conversion factor: 1 kcal = 4.184 kJ. We then divide the given energy in kJ by this conversion factor and round the result to three significant figures.

To convert the energy from kilojoules (kJ) to kilocalories (kcal), we use the conversion factor: \[ 1 \, \text{kcal} = 4.184 \, \text{kJ} \]

Given: \[ \text{Energy} = 181 \times 10^6 \, \text{kJ} \]

We perform the conversion: \[ \text{Energy in kcal} = \frac{181 \times 10^6 \, \text{kJ}}{4.184 \, \text{kJ/kcal}} \]

\[ \text{Energy in kcal} = \frac{181000000 \, \text{kJ}}{4.184 \, \text{kJ/kcal}} \] \[ \text{Energy in kcal} \approx 43260038.2409 \, \text{kcal} \]

We round the result to three significant figures: \[ \text{Energy in kcal} \approx 43260038.241 \, \text{kcal} \]

Final Answer