Final answer:
To consume 0.0278 moles of sugar from the nut crunch cereal, you would need to eat 1 serving.
Step-by-step explanation:
To find out how many servings of the cereal must be eaten to consume 0.0278 moles of sugar, we need to first calculate the number of moles of sugar per serving.
The cereal contains 11.0 grams of sugar per serving, and from the formula given, sucrose has a molar mass of 342 g/mol. We can use this information to calculate the number of moles of sugar per serving:
Moles of sugar = (11.0 g sugar) / (342 g/mol) = 0.032 moles sugar per serving
To find the number of servings required to consume 0.0278 moles of sugar, we divide the desired amount of moles by the moles per serving:
Number of servings = (0.0278 moles) / (0.032 moles/serving) = 0.869 servings
Since we cannot eat a fraction of a serving, we need to round up to the nearest whole serving. Therefore, the answer is 1 serving.