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

Respuesta :

3411.427 kilojoules

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

Answer: Duncan burns [tex]3409.96 kJ[/tex] in the same amount of time.

Explanation:

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

For that we use the conversion factors:

[tex]1Cal=4.184J\\\\1kJ=1000J[/tex]

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

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

Hence, duncan burns [tex]3409.96 kJ[/tex] in the same amount of time.

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