Chemisty or math wizzes need to find an answer

VAreef

Reefing newb
I over salted my change out water. I now have 8 gallons of water at 1.028 spec grav.

I'm trying to use the concentration equation but am stuck on how to find Volume to be added

C = concentration V = volume a=added i=initial f=final

Cf(Vf) = Ci(Vi) + Ca(Va)

1.024(Vf) = 1.028(8gal) + 1.000(Va)

It's been 20 years since I had to try and figure something like this out. It kinda reminds me of calculus a little. If I remember right do I have to make Vf equal to Vi+Va? then solve for Va? or something like that?
 
Thank god my middle son is an honor roll student and wants to be a marine biologist. 1.33 gal of RO. I tested with about 1.5 that I had made while trying to figure out how much to make and it came out great just below 1.024. If I had added 1.33 exact it prolly woulda been 1.024 exact.
 
Cf(Vf) = Ci(Vi) + Ca(Va)

1.024(Vf) = 1.028(8gal) + 1.000(Va)

The way you have it there, you would never figure it out since you have one equation and two variables.
To fix that, you need to make a new equation for Vf

Vf = 8gal + Va

Substitute out the Vf in the origianal equation and you get

1.024(8gal + Va) = 1.028(8gal) + Va

Then solve for Va
1.024(8gal) + 1.024(Va) = 1.028(8gal) + Va

1.024(VA) - Va = 1.028(8gal) - 1.024(8gal)

.024(Va) = .004(8gal)

Va = .004/.024(8gal)

Va = 1/6(8gal)

Va = 1.33gal

Sounds like your son did a good job.:Cheers:
 
thats exactly how he did it BJ. He better make good grades in college too as I need him to support me when I am old.
 
Cf(Vf) = Ci(Vi) + Ca(Va)

1.024(Vf) = 1.028(8gal) + 1.000(Va)

The way you have it there, you would never figure it out since you have one equation and two variables.
To fix that, you need to make a new equation for Vf

Vf = 8gal + Va

Substitute out the Vf in the origianal equation and you get

1.024(8gal + Va) = 1.028(8gal) + Va

Then solve for Va
1.024(8gal) + 1.024(Va) = 1.028(8gal) + Va

1.024(VA) - Va = 1.028(8gal) - 1.024(8gal)

.024(Va) = .004(8gal)

Va = .004/.024(8gal)

Va = 1/6(8gal)

Va = 1.33gal

Sounds like your son did a good job.:Cheers:

My head hurts! :frustrat:
:mrgreen:

thats exactly how he did it BJ. He better make good grades in college too as I need him to support me when I am old.


Or at least, to support your reefing habit ;)
 
Cf(Vf) = Ci(Vi) + Ca(Va)

1.024(Vf) = 1.028(8gal) + 1.000(Va)

The way you have it there, you would never figure it out since you have one equation and two variables.
To fix that, you need to make a new equation for Vf

Vf = 8gal + Va

Substitute out the Vf in the origianal equation and you get

1.024(8gal + Va) = 1.028(8gal) + Va

Then solve for Va
1.024(8gal) + 1.024(Va) = 1.028(8gal) + Va

1.024(VA) - Va = 1.028(8gal) - 1.024(8gal)

.024(Va) = .004(8gal)

Va = .004/.024(8gal)

Va = 1/6(8gal)

Va = 1.33gal

Sounds like your son did a good job.:Cheers:


huh? .
 
I ran out of salt so needed to make sure it was right since I would have no way to correct it if I added to much RO. Plus sometimes it's just fun to figure stuff like that out. I think I'm going to use that same equation to figure out how much water I need to change out to get my nitrates down from 20ppm to 5ppm
 
AHA I found a good use for it. My tank was at 1.023 salinity with around 90gal total water volume. I figured that with a 10 gal water change I would need a salinity of 1.032 to increase my tank salinity to 1.024. OOOOO yeah and you guys made fun of me and my equation :D
 
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