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Hello, I need help with this (and some other, I'm new at these type of problems):

 

1. On the label of a bottle of vinegar, the information appears: "acetic acid solution at 4% by weight". If the bottle contains 750mL of vinegar and its density is 1.006g / mL, calculate the mass of acetic acid contained in the bottle.

 

2. A hospital organized a blood donation event where 80 pints of blood were collected. The hospital expected to get 8 gallons of blood with the event. Has the goal been met?
1pt = 473mL
1 gal = 3785 mL

 

Also, I don't know if these include conversions but, conversions are one thing my brain doesn't seem to understand at all. laughsad

 Feb 1, 2018
 #1
avatar+111326 
+3

1. On the label of a bottle of vinegar, the information appears: "acetic acid solution at 4% by weight". If the bottle contains 750mL of vinegar and its density is 1.006g / mL, calculate the mass of acetic acid contained in the bottle.

 

Density  =  Mass / Volume    .....     which means that  .....

 

Volume * Density  =  Mass

 

So....for the liquid in the bottle we have that

 

750 ml  *  1.006 g / ml     =   Mass         [  the "ml"  cancels ]

 

750 *  1.006 g  = 

 

754.5 g   ....   this is the mass ["weight "] of the liquid .....

 

And the acetic acid is 4%  of this

 

So........the  mass  ["weight"]  of the acetic acid  is 4% of this...so

 

.04 * 754.5  =

 

30.18 g

 

 

cool cool cool

 Feb 1, 2018
 #4
avatar+62 
+1

I just have one more question, where did you get the .04?

chaconsara32  Feb 1, 2018
 #5
avatar+111326 
+1

4%   = 4/100 =   .04

 

cool cool cool

CPhill  Feb 1, 2018
 #6
avatar+62 
+1

Oh, ok. hahah

Thanks again

chaconsara32  Feb 1, 2018
 #2
avatar+111326 
+2

2. A hospital organized a blood donation event where 80 pints of blood were collected. The hospital expected to get 8 gallons of blood with the event. Has the goal been met?
1pt = 473mL
1 gal = 3785 mL

 

80 pints  =    80 * 473 ml  =  37840 ml

 

8 gal  =      8 * 3785   = 30280 ml

 

The goal has been met  !!!!

 

 

cool cool cool

 Feb 1, 2018
 #3
avatar+62 
+1

Thank you so so much!

I struggle with this and most of the times I don't know where to start.

chaconsara32  Feb 1, 2018
edited by chaconsara32  Feb 1, 2018
 #7
avatar+109519 
+2

2. A hospital organized a blood donation event where 80 pints of blood were collected. The hospital expected to get 8 gallons of blood with the event. Has the goal been met?

 

Why would you convert to metric?

There are 8 pints in a gallon   (I expect you are from the U.S. and you are supposed to know this)

so 8 gallons = 64 pints

They expected 64 they got 80 so YES they were happy :)  The goal was not only met it was exceeded. 

 Feb 2, 2018
 #8
avatar+109519 
+2

1. On the label of a bottle of vinegar, the information appears: "acetic acid solution at 4% by weight". If the bottle contains 750mL of vinegar and its density is 1.006g / mL, calculate the mass of acetic acid contained in the bottle.

 

 

It is easy, you can cancel the mL units out ! 

The only other thing you need to know is that mass can be measured in grams

 

\(Total\;mass\;=750mL*\frac{1.006g}{1mL}=750*1.006g = 754.50g\\ Mass\;of\;acid\;\;=\frac{4}{100}*754.5g=30.18grams \)

.
 Feb 2, 2018
edited by Melody  Feb 2, 2018

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