Need help with the full equation

Question

A certain nut crunch cereal contains 11.0 grams of sugar (sucrose, C₁₂H₂₂O₁₁) per serving size of 60.0 grams. How many servings of this cereal must be eaten to consume 0.0278 moles of sugar?

Answer 1

Hello, Jason,

9.51 grams

The molar mass of C₁₂H₂₂O₁₁ is 342.1 g/mole.

Therefore: (0.0278 moles)*(42.1 g/mole) = 9.51 grams C₁₂H₂₂O₁₁.

Cereal contains11.0 grams of sugar per 60.0 grams of cereal. We could write this as (11.0 grams sugar/60 g Cereal).

We can find the amount of cereal with the following: (11.0 grams sugar/60 g Cereal)*X = 9.51 grams sugar, where X is the grams cereal needed to obtain 9.51 grams sugar.

X = [(9.51 grams sugar)*(60 g cereal)]/(11.0 grams sugar)

X = 51.87 grams cereal will have 9.51 grams sugar.

Bob