Final answer:
Alina can make a maximum of 3 batches of cookies. The limiting reactant is the flour. The amounts of butter, eggs, sugar, baking soda, and baking powder that will be left over depend on the amounts Alina has in her kitchen.
Step-by-step explanation:
To determine how many cookies Alina can make, we need to compare the amount of each ingredient she has with the amounts specified in the recipe. Let's start with the flour: Alina has 9 cups of flour, while the recipe calls for 2 3/4 cups. We can convert the recipe amount to cups by multiplying the whole number part (2) by 1 and adding it to the fraction part (3/4) converted to a decimal (0.75). This gives us a total of 2.75 cups of flour required per batch.
To find the number of batches Alina can make with her flour, we divide the total amount of flour she has (9 cups) by the amount required per batch (2.75 cups). This gives us approximately 3.27 batches.
Since we cannot make a fraction of a batch, Alina can make a maximum of 3 batches of cookies.
The limiting reactant is the ingredient that is used up first and determines the maximum amount of product that can be formed. In this case, the ingredient that is limiting is the flour. Alina has enough of all the other ingredients to make more than 3 batches of cookies.
To determine the amount of each reactant that will be left over, we can subtract the amount used in 3 batches from the amount Alina has.
For example, Alina has 4.5 cups of sugar, and each batch requires 1 1/2 cups of sugar. So for 3 batches, Alina would need 1.5 x 3 = 4.5 cups of sugar. Since Alina has exactly the amount of sugar needed for 3 batches, there will be no sugar left over.
Similarly, we can calculate the amounts of butter, eggs, baking soda, and baking powder that will be left over by subtracting the amounts used in 3 batches from the amounts Alina has.