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A teaspoon of the carbohydrate sucrose (common sugar) contains 16 Calories (16 k

ID: 557966 • Letter: A

Question

A teaspoon of the carbohydrate sucrose (common sugar) contains 16 Calories (16 kcal).

a) What is the mass of one teaspoon of sucrose if the average number of Calories for carbohydrates is 4.1 Calories/g?

b) How many teaspoons of sucrose are in a can of Coke® that has 140 Calories per can?

c) If all the energy from the sucrose in the can of Coke was used to raise the temperature of the water in that can, what final temperature would be reached if the initial temperature was 25 °C. One can of coke is 355 mL and you can assume the density of the soda is 1.00 g/mL.

Explanation / Answer

a)

16 Cal per teaspoon

mass of teaspoon --> 16/4.1 = 3.90 g approx

b)

teaspoons in cok

Ec = 140 Cal/Can

Et = 16 Cal / teaspoon

N spoons = Ec/ET = (149/16 ) = 9.3 teasponts --> appro x9

c)

Q = m*C*(Tf-Ti)

Q = 140 Calories = 140*10^3 cal = 140000 cal

Q = m*C*(Tf-ti)

140000 = 355 * 1 * (Tf-25)

140000 /355 = TF -25

Tf = 394.36+25 = 419.36

this will vaporize, i.. T = 100°C

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