SOLUTION: Solution 1 consists of 80% benzene and 20% toluene. Solution 2 consists of 30% benzene and 70% toluene. a) How many mL of Solution 1 must be added to 500 mL of Solution 2 in or

Question 763409: Solution 1 consists of 80% benzene and 20% toluene. Solution 2 consists of 30% benzene and 70% toluene.
a) How many mL of Solution 1 must be added to 500 mL of Solution 2 in order to produce a solution that is 70% benzene?
b) How many mL of Solution 1 and how many mL of Solution 2 must be combined to form a 100 mL solution that is 50% benzene and 50% toluene?
c) Is there a combination of Solution 1 and Solution 2 that is 90% benzene and 10% toluene?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(a)
Let = ml of solution 1 to be added
= ml of benzene in solution 1
ml of benzene in solution 2
----------------------------------------

2000 ml ( 2 l ) of solution 1 must be added
check:

OK
----------
(b)
Let = ml of solution 1 needed
Let = ml of solution 2 needed
----------
(1)
(2)
---------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and
(1)

40 ml of solution 1 is needed
60 ml of solution 2 is needed
------------
(c)
No. You can't get a greater % of benzene than
either of the 2 solutions have which is
80% and 30%

RELATED QUESTIONS
How much of a 20% benzene solution and how much of a 60% benzene solution should be mixed (answered by josgarithmetic)

Please Help me work this out step by step... I Haven't done a mixture problem with so... (answered by Theo)

An empty drum weighs 18.0385 kg and when filled with benzene it weighs 25.418kg. If the (answered by josgarithmetic)

Help would be appreciated to figure out the following question An empty drum weighs... (answered by mananth)

How much 30% solution and 70% solution need to be combined to make 80 ml of a 60%... (answered by stanbon,nerdybill)

Help would be appreciated to figure out the following question An empty drum weighs... (answered by josgarithmetic)

How many mL's of a 10% alcohol solution and how many mL's of a 20% solution must be mixed (answered by ankor@dixie-net.com,greenestamps)

a 20% HCl solution and a 70% HCl solution are to be mixed to obtain 900 ml of a 30 % HCl... (answered by Alan3354)

If the density of copper is 8.96 g/cm^3, and if the density of benzene is 0.8786 g/cm^3,... (answered by ankor@dixie-net.com)