A meal containing a burger, fries, and a milkshake contains 53.0 grams of fat, 38.0 grams of protein, and 152 grams of carbohydrate. The respective fuel values for protein, fat, and carbohydrate are 17, 38, and 17 kJ/g, respectively. If swimming typically burns 1100.0 kJ/hour, __________ minutes of swimming are required to completely burn off the meal.
a.4.78
b.33.5
c.62.5
d.10.5
e.286

Respuesta :

Answer:

286 minutes

Explanation:

Given the content of fat in a meal= 53g

the content of protien in a meal= 38g

the content of carbohydrate in a meal= 152g

Also given that fuel value of protien = 17 KJ/g

the fuel value of fat = 38 KJ/g

the fuel value of carbohydrate = 17 KJ/g

Now to burn all the molecules the energy recquired is content of molecule times the fuel value.

the energy recquired to burn fat = [tex]53\times 38=2014KJ[/tex]

the energy recquired to burn protien = [tex]38\times 17=646KJ[/tex]

the energy recquired to burn carbohydrate =[tex]152 \times 17=2584KJ[/tex]

The total energy=2014+646+2584=5244KJ

The energy spent on swimming is 1100KJ/hour

for 1 hour 1100 KJ are spent

to spend 5244 KJ of energy the time taken is = [tex]\frac{5244}{1100}[/tex]=4.76hours

We know 1 hour=60 minutes

The total time = [tex]4.76\times 60=286minutes[/tex]

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