The ABC cereal company is developing a new type of breakfast cereal to compete w

Question

The ABC cereal company is developing a new type of breakfast cereal to compete with a rival product that they call brand x. You are asked to compare the energy content of the two cereals to see if the new abc product is lower in calories so you burn 1.00-g samples of the cereals in oxygen in a calorimeter with a heat capacity of 600. J(C)^-1. When the Brand X cereal sample burned, the temperature rose from 300.2 K to 309.0 K. When the ABC cereal sample burned, the temperature rose from 299.0 K to 307.5 K. (a) What is the heat output of each sample? (b) One serving of each cereal is 30.0 g. How would you label the packages of the two cereals to indicate the fuel value per 30.0-g servings in joules? in nutritional calories (kilocalories)?

Explanation / Answer

Heat of brand X = 600*(309-300.2) = 5280 J/g

ABC = 600*(307.5-299) = 5100 J/g

Heat in kcal/g

X = 5280/4186 = 1.2613 kcal/g

ABC = 5100/4186 = 1.2183 kcal/g

So energy per serving =

X = 1.2613*30 = 37.839 kcal

ABC = 1.2183*30 = 36.549 kcal

In joules =

X 5280*30 = 158400 J/serving

ABC = 5100*30 = 153000 J/serving

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