Question

Question 1

For a party tonight you want to make your special hamburger recipe. You have only the following ingredients:

10 meat patties

24 buns

18 cheese slices

If you need to make as many complete hamburgers as possible and each hamburger must follow your special hamburger recipe contain 1 meat patty, 2 bun halves, and 2 cheese slice, then what is the maximum number of complete hamburgers can you make given the reagents, I mean ingredients, that you have on hand?

You can make a maximum of 24 hamburgers.
You can make a maximum of 9 hamburgers.
You can make a maximum of 10 hamburgers.
You can make a maximum of 18 hamburgers.
You can make a maximum of 12 hamburgers.  

QUESTION 2

Write down logical dimensional analysis steps, starting with the given number of each ingredient and ending up with numbers of hamburgers; match the number of food reagents available with the number of hamburgers just that reagent could make if that ingredient is all that controlled your hamburger production that day.

10 meat patties

33 tomato slices

18 cheese slices

24 buns halves

A. 9 hamburgers

B.12 hamburgers

C. Wait a minute! Tomatoes aren't in this receipe.

D.10 hamburgers

QUESTION 3

Given the food supplies for the party (the reagents) in problem #1 above. Which "reagent" would make the largest number of hamburgers if the "yield" were only based on that reagent? Note this is NOT the limiting reagent. This is the fantasy scenario. If you follow the recipe, it is impossible to make this number of hamburgers because one of the other reagents will be used up.

The buns could make 24 complete hamburgers.
The patties could make 20 complete hamburgers.
The cheese could make 18 complete hamburgers.
The cheese could make 9 complete hamburgers.
The buns could make 12 complete hamburgers.
The patties could make 10 complete hamburgers.

QUESTION 4

Given the food supplies for the party (the reagents) in problem #1 above. Which "reagent" would make the fewest number of hamburgers if the "yield" were only based on that reagent and you followed the recipe? The reagent you choose is called the limiting reagent because it makes the least amount of the product. It makes the least amount of product because it's completely consumed.

The buns would make 12 complete hamburgers.
The patties would make 10 complete hamburgers.
The cheese would make 18 complete hamburgers.
The cheese would make 9 complete hamburgers.

QUESTION 5

Given the food reagents in Problem #1, after the maximum number of hamburgers are made, what number of each excess reagent will be left over?

Here's how to do this: start with the number of the limiting reagent and calculate the number of each of the other reagents CONSUMED when the limiting reagent is completely used up. Subtract those from the number your started with and that's what's left over for that reagent. All ingredients will be left over EXCEPT for the limiting reagent.

1 meat patty, 0 cheese slices, and 6 bun halves
9 meat patties, 9 cheese slices, and 2 bun halves
9 patties, 2 cheese slices, and 12 bun halves
0 patties, 5 cheese slices, and 10 bun halves

QUESTION 6

This limiting reagent hamburger quiz is analogous to the chemical limiting reagent problems we've been studying in many ways. Match the following correctly:

The word must in the first problem describing that each hamburger must be composed of a certain recipe corresponds to:

Determining the food item that will make the fewest number of hamburgers corresponds to:

Determining which and how much of each food items will be left over after the hamburgers are made corresponds to:

Determining which food item makes the most hamburgers corresponds to:

A. the process of determining the limiting reagent in chemical analysis.
B. nothing useful in chemical analysis.
C. the stoichiometric relationship between reactants and products.
D. the process of determining the excess reagents in chemical analysis.

Answer 1

Question 1

For a party tonight you want to make your special hamburger recipe. You have only the following ingredients:

10 meat patties

24 buns

18 cheese slices

If you need to make as many complete hamburgers as possible and each hamburger must follow your special hamburger recipe contain 1 meat patty, 2 bun halves, and 2 cheese slice, then what is the maximum number of complete hamburgers can you make given the reagents, I mean ingredients, that you have on hand?

Assume:

10 meat patties --> 10 burgers (1x)

24 buns --> (2x) then 24/2 = 12 burgers

18 cheese --> (2x) then 18/2 = 9 burgers

then, we can only do up to 9 burgers, since we have limiting cheese

Q2)

10 meat patties --> (1x) then 10/1 = 10 burgers

24 buns --> (2x) then 24/2 = 12 burgers

18 cheese --> (2x) then 18/2 = 9 burgers

A. 9 hamburgers

Q3)

from Q1

we got

10 meat patties --> 10 burgers (1x)

24 buns --> (2x) then 24/2 = 12 burgers

18 cheese --> (2x) then 18/2 = 9 burgers

that means, the buns are the most excess reagent/material

we could do up to 12 burgers if it was not for the other materials

Q4)

the cheese, since you could only produce 9 complete burgers, all other will have not be complete recipe

Q5)

left overs if we do 9 burgers:

10 meat patties --> 10 burgers (1x) --> 10-9 = 1 patty left

24 buns --> (2x) then 24/2 = 12 burgers --> 12-9 = 3 pair of buns or 6 buns left

18 cheese --> (2x) then 18/2 = 9 burgers --> 0 cheese left

anwer is

1 meat patty, 0 cheese slices, and 6 bun halves
Q6)

The word must in the first problem describing that each hamburger must be composed of a certain recipe corresponds to: C. the stoichiometric relationship between reactants and products.

Determining the food item that will make the fewest number of hamburgers corresponds to: A; determining the limiting reactant

Determining which and how much of each food items will be left over after the hamburgers are made corresponds to: D; we want to identify the excess reactants

Determining which food item makes the most hamburgers corresponds to: B. nothing useful in chemical analysis. Since it is a fantasy scenario