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Your friend works in a bookstore where lab books for science are assembled. Each lab book uses 2 covers, 50 sheets of lined paper, 25 sheets of graph paper and 3 staples. Her inventory includes 150 covers, 7500 sheets of lined paper and 3000 sheets of graph paper and 250 staples. What is the “limiting reactant?” How many complete lab books can be made? How much of each of the other reactants remain in excess?


Sagot :

Answer:

The limiting reactant is the covers.

We are left with 3750 sheets of lined paper, 1125 sheets of graph paper and 25 staples.

Explanation:

the reaction is:

B - book

C - cover

Sl = sheet of lined paper

Sg - sheet of graph paper

St - staple

1B = 2C + 50Sl + 25Sg + 3St

We have covers for 150/2 = 75 books

We have lined paper for 7500/50 = 150 books

We have graph paper for 3000/25 = 120books

We have Staples for 250/3 = 83.(3) books, so for 83 books as we cannot make 1/3 of a book.

Because we only have covers for 75 books, covers are the limiting reactant.

After making 75 books we are left with:

0 covers

7500 - 75*50 = 3750 sheets of lined paper

3000 - 75*25 = 1125 sheets of graph paper

250 - 75*3 = 25 staples

The limiting reactant should be the covers.

We are left with 3750 sheets of lined paper, 1125 sheets of graph paper, and 25 staples.

Calculation of the limiting reaction:

The reaction should be like:

B - book

C - cover

Sl = sheet of lined paper

Sg - sheet of graph paper

St - staple

Now the equation should be

1B = 2C + 50Sl + 25Sg + 3St

We have covers for 150/2 = 75 books

We have lined paper for 7500/50 = 150 books

We have graph paper for 3000/25 = 120books

We have Staples for 250/3 = 83.(3) books, so for 83 books as we cannot make 1/3 of a book.

Now the left should be

7500 - 75*50 = 3750 sheets of lined paper

3000 - 75*25 = 1125 sheets of graph paper

250 - 75*3 = 25 staples

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