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tion 15 of 25 University Science Books presented by Sapling Leaming eneral Chemi

ID: 1034025 • Letter: T

Question

tion 15 of 25 University Science Books presented by Sapling Leaming eneral Chemistry 4th Edition A researcher studying the nutritional value of a new candy places a 6.40-gram sample of the a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.66 "C. If the heat capacity of the calorim eter is 41.80 kJ-K". how many nutritional Calories are there per gram of the candy? inside Number 0.00566 Cal/g Previous ? Give Up & View Solution Try Again O Next xplanation emperature change, AT, has the same value in degrees Celsius as it does in kelvins. inus, AT 2.66 C 2.66 K First, use the temperature change and the heat capacity of the calorimeter to calculate the amount of heat produced in kilojoules. Then convert to Calories. Finally, divide your answer by the mass of candy burned to express the energy in Calories per gram.

Explanation / Answer

Given:

C = 41.80 KJ/K = 41.80 KJ/oC

delta T = 2.66 oC

Energy released,

Q = C*delta T

= 41.80 KJ/oC * 2.66 oC

= 111.2 KJ

1 nutritional calorie = 4.184 KJ

Converting this energy to nutritional calorie

Q = 111.2 KJ / 4.184 KJ/Cal

= 26.6 Cal

This is for 6.40 g

so,

nutritional calorie per gram = 26.6 Cal/6.40 g

= 4.15 Cal/g

Answer: 4.15 Cal/g