Questions: Riding a bicycle at 10-11 miles per hour uses 526 Calories in an hour. Be sure each of your answer entries has the correct number of significant figures.
Convert this value to kilocalories. Report your answer in scientific notation. (1 Cal=1000 cal)
kcal
Convert this value to joules. Report your answer in scientific notation.
Note: Reference the Conversion factors for non-SI units table for additional information.
2.20 x 10^2
J
Transcript text: Riding a bicycle at 10-11 miles per hour uses 526. Calories in an hour. Be sure each of your answer entries has the correct number of significant figures.
Convert this value to kilocalories. Report your answer in scientific notation. ( $1 \mathrm{Cal}=1000 \mathrm{cal})$
$\qquad$ kcal
Convert this value to joules. Report your answer in scientific notation.
Note: Reference the Conversion factors for non-SI units table for additional information.
\[
2.20 \times 10^{2}
\]
J
Solution
Solution Steps
Step 1: Convert Calories to kilocalories
Since 1 Calorie (Cal) is equal to 1000 calories (cal) or 1 kilocalorie (kcal), 526 Calories is equal to 526 kcal. To express this in scientific notation, we write it as 5.26 x 102 kcal.
Step 2: Convert kilocalories to kilojoules
1 kcal is equal to 4.184 kJ. Therefore, 526 kcal is equal to 526 kcal * 4.184 kJ/kcal = 2201.6 kJ.
Step 3: Convert kilojoules to joules and express in scientific notation
Since 1 kJ is equal to 1000 J, then 2201.6 kJ is equal to 2201.6 kJ * 1000J/kJ= 2201600 J = 2.20 x 106 J