a sample of vinegar is 4% acetic acid by mass, if the desnity of vinegar sample is 1.006g/ml what volume is needed to obtain 65.7g of acetic acid?

Question

hello please help me with this problem for I am in dire need of assistance 

Answer 1

I noticed a negative vote for the answer provided by Andy C, so I will offer an alternative approach, even though I see nothing inherently wrong with his approach.

 

4% acetic acid (HAc) by mass means 4 g HAc/100 g of solution.

(4 g HAc/100 g solution)(x g solution) = 65.7 g HAc and x = 1642.5 g of solution needed

Converting this to volume using the density, you have 1642.5 g x 1 ml/1.006 g = 1632.7 mls = 1630 ml (3 sig.figs.)

 

Answer 2

Density = Mass/Volume

 

4% = 0.04

 

4% of X = 65.7

 

0.04 X = 65.7

 

X = 65.7/0.04 =1642.5

 

1.006 = 1642.5/V

 

V = 1642.5/1.006 = 1632.704