Question

A slice of cake contains 29.0 grams of fat, 9.0 grams of protein, and 77 grams of carbohydrate. If swimming burns 1000.0 kj/hour, how many minutes would it take to completely burn off the slice of cake? The respective fuel values for protein, fat, and carbohydrate are 17, 38, and 17 kj/g, respectively.

Answer 1

Answer:

I don't know

Explanation:

Answer 2

It will take 128.64 minutes to completely burn off her slice of cake.

Explanation:

Mass of fat in a slice of cake = 29.0 g

1 g protein =  17 kJ/mol

Energy in 29.0 grams of fat = 29.0 g × 17 kJ/mol = 493 kJ

Mass of protein in a slice of cake = 9.0

1 g fat = 38 kJ/g

Energy in 9.0 grams of protein = 9.0 g × 38 kJ/mol = 342 kJ

Mass of carbohydrates in a slice of cake = 77 g

1 g carbohydrate = 17 kJ/g

Energy in 77 grams of carbohydrates  = 77 g × 17 kJ/mol = 1309 kJ

Total amount of energy associated with 1 slice of a cake: T

T =  493 kJ + 342 kJ + 1309 kJ = 2144 kJ

Rate at swimming requires energy = R = 1000.0 kJ/hour

Suppose in t time 2144 kJ of enrgy is used ;

$\frac{2144 kJ}{t}=1000.0 kJ/hour$

$t=\frac{2144 kJ}{1000.0 kJ/hour}=2.144 hour$

1 hour = 60 minutes

2.144 hour = 2.144 × 60 minutes = 128.64 minutes

It will take 128.64 minutes to completely burn off her slice of cake.

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