SOLUTION: To prepare a 5% solution of baking soda in 500mls of water how much baking soda do I need and how would I mathmatically figure this?

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Question 429087: To prepare a 5% solution of baking soda in 500mls of water how much baking soda do I need and how would I mathmatically figure this?

Found 2 solutions by ewatrrr, Edwin McCravy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 preparing a 5% solution of baking soda in 500mls(500gm) of water 

 Let x represent the number of grams of baking soda to add    

   x = .05(x+500)

     .95x = 25

        x = 25/.95 

        x = 26.3158

      

Will need to add 26.3158gm of baking soda to the 500ml of water

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
To prepare a 5% solution of baking soda in 500mls of water how much baking soda do I need and how would I mathmatically figure this?

Baking soda is measured by weight, so we must consider the solution is by
weight, not by volume.  1 milliliter of water weighs 1 gram.  So let x be the
number of grams of baking soda to add.  Then the concoction would weigh 100+x
grams.

So we have the equation:

x%2F%28100%2Bx%29=.05

x+=+.05%28100%2Bx%29

x+=+5+%2B.05x

x+-+.05x+=+5

1.00%2Ax-.05%2Ax+=+5

.95x+=+5

x+=+5%2F.95

x+=+5.263157895 grams of baking soda.

Edwin