Two friends, Pamela and Elaine, compared snack items they planned to enjoy during a work break. Pamela's snack was a small bag of shortbread cookies composed of 2.6 grams fat, 21 grams carbohydrates, and 2.1 grams protein. Elaine had a bag of popcorn composed of 2.9 grams fat, 31 grams carbohydrates, and 3.5 grams protein.
Nutrient Fuel value (kJ/g):Carbohydrate 17, Fat 38, Carbs 17
(a) Using the fuel values provided, calculate the number of calories in each person's snack. Pamela's snack Cal Elaine's snack Cal
(b) Suppose the friends took a 15-minute walk after snacking. If Pamela burned 43 calories and Elaine expended 48 calories, who had the smaller net gain of calories after snacking and walking?

a) Pamela's shortbread cookies has 117,471.3 calories = 117.5 kcal

Elaine's popcorn has 166,515.3 calories = 166.5 kcal

b) Pamela had the smaller net gain of calories after snacking and walking.

Explanation:

- Pamela's snack was a small bag of shortbread cookies composed of 2.6 grams fat, 21 grams carbohydrates, and 2.1 grams protein.

- Elaine had a bag of popcorn composed of 2.9 grams fat, 31 grams carbohydrates, and 3.5 grams protein.

Nutrient | Fuel value (kJ/g):

Carbohydrate | 17

Fat | 38

Protein | 17

Noting that instead of Carbs, Protein was intended to be written.

a) For Pamela

Carbohydrates = (21 g) × (17 KJ/g) = 357 KJ

Fats = (2.6 g) × (38 KJ/g) = 98.8 KJ

Protein = (2.1 g) × (17 KJ/g) = 35.7 KJ

Total fuel value = 357 + 98.8 + 35.7 = 491.5 KJ = 491,500 J

Note that 1 cal = 4.184 J

491,500 J = (491,500/4.184) = 117,471.3 calories = 117.5 kcal

Carbohydrates = (31 g) × (17 KJ/g) = 527 KJ

Fats = (2.9 g) × (38 KJ/g) = 110.2 KJ

Protein = (3.5 g) × (17 KJ/g) = 59.5 KJ

Total fuel value = 527 + 110.2 + 59.5 = 696.7 KJ

Note that 1 cal = 4.184 J

696,700 J = (696,700/4.184) = 166,515.3 calories = 166.5 kcal

b) Suppose the friends took a 15-minute walk after snacking. If Pamela burned 43 kcal and Elaine expended 48 kcal, who had the smaller net gain of calories after snacking and walking?

Pamela gains 117.5 kcal

And loses 43 kcal

Net gain = 117.5 - 43 = 74.5 kcal

Elaine gains 166.5 kcal

And loses 48 kcal

Net gain = 166.5 - 48 = 118.5 kcal

Pamela had the smaller net gain of calories after snacking and walking.

Hope this Helps!!!

most historians agree that gabriel mouton, the vicar of st. paul’s church in lyons, france, is the “founding father” of the metric system. he proposed a decimal system of measurement in 1670. mouton based it on the length of one minute of arc of a great circle of the earth (now called a nautical mile, 1852 meters). he also proposed the swing-length of a pendulum with a frequency of one beat per second as the unit of length (about 25 cm). a pendulum beating with this length would have been fairly easy to produce, thus facilitating the widespread distribution of uniform standards. over the years, his work was revised, improved, and extended by a number of french scientists.

the political sponsor of weights and measures reform in the french revolutionary national assembly was the bishop of autun, better known as talleyrand. under his auspices, the french academy appointed several committees to carry out the work of developing a usable system of weights and measures for france. one of the committees recommended a decimalized measurement system based upon a length equal to one ten-millionth of the length of a quadrant of the earth’s meridian (i.e., one ten-millionth of the distance between the equator and the north pole).