Question

Duncan takes a break from studying and goes to the gym to swim laps if swimming Burns 8.15 x 10 to the 5th power calories per hour how many kilojoules does swimming burn in that same amount of time

Answer 1

3411.427 kilojoules

8.15 x10^5 cal x (4.18 joules/ 1cal) x (1kJ/1000J) = 3,406.7 kJ

Answer 2

Answer: Duncan burns $3409.96 kJ$ in the same amount of time.

Explanation:

We are given that Duncan burns $8.15\times 10^5$ Calories per hour and we need to find the amount she burns in kilojoules.

For that we use the conversion factors:

$1Cal=4.184J\\\\1kJ=1000J$

Converting $8.15\times 10^5cal/hr$ into kilojoules per hour, we get:

$\Rightarrow (\frac{8.15\times 10^5Cal}{1hr})(\frac{4.184J}{1Cal})(\frac{1kJ}{1000J})\\\\\Rightarrow \frac{3409.96kJ}{hr}$

Hence, duncan burns $3409.96 kJ$ in the same amount of time.