Question

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.

Answer 1

Answer:

4.8 h

Explanation:

The meal contains 53.0 grams of fat. If fat provides 38 kJ/g, the energy supplied is:

53.0 g × 38 kJ/g = 2.0 × 10³ kJ

The meal contains 38.0 grams of protein. If protein provides 17 kJ/g, the energy supplied is:

38.0 g × 17 kJ/g = 6.5 × 10² kJ

The meal contains 152 grams of carbohydrate. If carbohydrate provides 17 kJ/g, the energy supplied is:

152 g × 17 kJ/g = 2.6 × 10³ kJ

The total energy supplied is:

2.0 × 10³ kJ + 6.5 × 10² kJ + 2.6 × 10³ kJ = 5.3 × 10³ kJ

Swimming burns 1100.0 kJ/hour. The time required to burn 5.3 × 10³ kJ is:

5.3 × 10³ kJ × (1 h/1100.0 kJ) = 4.8 h