## max2758 Group Title You are working in a chemistry lab. You have 1000 milliliters of pure acid. A dilution of acid is created by adding pure acid to water. A 40% dilution contains 40% acid and 60% water. You have been asked to make a 40% dilution and a 60% dilution of pure acid. a.Write an equation in standard form that models the possible quantities of each dilution you can prepare using all 1000 milliliters of pure acid. b.You prepare 700 milliliters of the 40% dilution how much of the 60% dilution can you prepare c. How much water do you need to prepare 700 milliliters of the 40% dilution? 2 years ago 2 years ago

1. agdgdgdgwngo Group Title

$A)\ Dilution=\frac{V_a}{V_a+V_w}$in percent, where V_a is equal to 1000(ml) $B)\ \ \ 0.4=\frac{V_a}{700}$ $V_a = 280$ I have 1000-280 = 720 ml of acid left $0.6 = \frac{720}{720+V_w}$ $V_w = 480$ I can prepare 720+480 = 1200 milliliters of the60% dilution $C)\ \ \ 0.4=\frac{V_a}{700}$ $V_a = 280$ $V_w = 700 - 280 = 420$ I need 420ml of water to prepare the 700ml 40% dilution

2. max2758 Group Title

so thats the equation for part a

3. max2758 Group Title

It hass tobe in standard form

4. agdgdgdgwngo Group Title

$Dilution(V_a + V_w)=V_a$ $Dilution*V_a + Dilution *V_w = V_a$ Where Dilution is a positive rational.

5. max2758 Group Title

so does it change for all the other parts b and c

6. agdgdgdgwngo Group Title

Hmm... wait my answer isn't in standard form

7. max2758 Group Title

Ya

8. max2758 Group Title

Thats not in standard form Standard form is like this 2x+2y=200020202020

9. max2758 Group Title

thats just an example though

10. agdgdgdgwngo Group Title

I can write it as $V_w+(1-\frac{1}{a})*V_a=0$ which kinda matches the standard form$Ax + By = C$where A is 1, B is (1-1/a), and C is 0

11. max2758 Group Title

Just put it in standard form like right now Ax+By=c

12. agdgdgdgwngo Group Title

It is in standard form

13. max2758 Group Title

Just write it again in standard form.

14. agdgdgdgwngo Group Title

$V_w + (1-\frac{1}{a})*V_a=0$

15. max2758 Group Title

Are you sure.

16. agdgdgdgwngo Group Title

You may substitute x for V_w, and y for V_a$x + (1-\frac{1}{a})y=)$

17. agdgdgdgwngo Group Title

oops:$x+(1-\frac{1}{a})y = 0$

18. max2758 Group Title

Thanks ok i have one more question its at top can you help me with it its not as hard as this one