Consider the following recipe for chocolate chip cookies: 1/2c sugar 1/2c brown

Question

Consider the following recipe for chocolate chip cookies:

1/2c sugar

1/2c brown sugar

1 and 1/3 stick butter

1 egg

1/2 tsp salt

1 tsp vanilla

1/2 tsp baking soda

1 and 1/2c flour

1 and 1/3c chocolate chip

Recipe makes 24 cookies

a. You have the following (table below) ingredients on hand. How many cookies could be prepared if all of that ingredient were consumed?

b. What is the limiting reagent for this round of cookies?

c. What is the theoretical yield?

Ingredients Amount How many cookies? eggs 1 dozen vanilla 24 tsp salt 1 pound baking soda 1 pound chocolate chips 5 pounds brown sugar 2 pounds butter 1 pound

Explanation / Answer

Assuming 2 cups = 1 pound

1/2 cup sugar

2 pound = 4 cups brown sugar

1 pound butter = 4 sticks of butter

12 eggs

1 pound salt = 96 tsp

vanilla = 24 tsp

baking soda = 96 tsp

chocolate chips = 10 cups

24 / x = ( 0.5 c + 0.5 c + 4/3 stick + 1 egg + 0.5 tsp + 1 tsp + 0.5 tsp + 1.5 c + 4/3 c ) / ( 0.5c + 4c + 4 stick + 12 eggs + 96 tsp + 24 tsp + 96 tsp + 1.5 c + 10 c)

24 / x = 0.033

x = 728.81 = 729 cookies

There is no limiting reagent for the cookies because everything is in excess except flour and sugar which is the same(assumed)

Theoretical yield = 729 cookies

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