+0  
 
0
332
8
avatar+50 

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

chaconsara32  Feb 1, 2018
 #1
avatar+87639 
+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

CPhill  Feb 1, 2018
 #4
avatar+50 
+1

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

chaconsara32  Feb 1, 2018
 #5
avatar+87639 
+1

4%   = 4/100 =   .04

 

cool cool cool

CPhill  Feb 1, 2018
 #6
avatar+50 
+1

Oh, ok. hahah

Thanks again

chaconsara32  Feb 1, 2018
 #2
avatar+87639 
+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

CPhill  Feb 1, 2018
 #3
avatar+50 
+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+92915 
+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. 

Melody  Feb 2, 2018
 #8
avatar+92915 
+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

 

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

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

6 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.