Help with % by volume formula

R

Richard

If my recommended sealant % by volume is 17.5%? (C3) will not change
If my actual sealant % by volume is 0% (B3) but will change
My tank size is 1432 liters ('Tank Sizes'!$F$6) will not change
Increase sealant % by volume (D3)
Liters added (F3)
Thanks in advance!!!
 
J

JRosenfeld

Suppose your initial volume with 0% sealant is Vo
You want to add a volume of sealant, Vs, such that Vs is 17.5% of the total
volume after adding the sealant, i.e Vs is 17.5% of (Vo + Vs)

i.e Vs/(Vo +Vs) = 0.175, or Vs = (0.175/0.825)Vo = 0.2121Vo. So if Vo = 1432
litres, Vs=302.7575 litres.

Is that what you want?
 
R

Richard

Suppose your initial volume with 0% sealant is Vo
You want to add a volume of sealant, Vs, such that Vs is 17.5% of the total
volume after adding the sealant, i.e Vs is 17.5% of (Vo + Vs)

i.e Vs/(Vo +Vs) = 0.175, or Vs = (0.175/0.825)Vo = 0.2121Vo. So if Vo = 1432
litres, Vs=302.7575 litres.

Is that what you want?






- Show quoted text -

'Tank Sizes'!$F$6*D3/C3/4.714)
To get 302 liters I have to divide 82.5/17.5 which is 4.714 is that
correct? I'm confused about the 4.714. Thanks so much for your help!!!
 
R

Richard

'Tank Sizes'!$F$6*D3/C3/4.714)
To get 302 liters I have to divide 82.5/17.5 which is 4.714 is that
correct? I'm confused about the 4.714. Thanks so much for your help!!!- Hide quoted text -

- Show quoted text -

Here is the way I have it formatted.
Actual formula: =IF(OR(B3="",C3="",B3>C3),"",'Tank Sizes'!$F$6*D3/
C3/4.714)
"Date"
"Actual % by Volume Concentration"
"Recommended % by Volume"
"Increase% by Volume "
"Decrease g/l"
"Liters added"
"Gal. added"
"Next ScheduledTest"
23-Sep-2010 0.0% 17.5% 17.5% 304 80.24 23-Oct-2010
 
J

JRosenfeld

I think I may have misunderstood slightly what you want to do. The algebra I
gave was starting with a tank with 0% sealant and adding sealant to end up
with 17.5% sealant by volume. I now see that you may in fact start with a
tank that already contains some sealant i.e. B3 is not necessarily 0.

If I've now understood better, you want to calculate the volume of sealant
to be added to go from whatever % you start with (given by B3) to the value
in C3 (17.5%).

If that is now correct, then the algebra changes. Your starting point is a
volume Vo (tank size that you say is fixed at 1432 litres). That is made up
of B3% of additive and (100-B3)% of water (or whatever the base fluid is).
i.e. the volume of base fluid is (Vo*(100-B3)/100).

You want to end up with a volume V1, that is made up of C3% of additive and
(100 -C3)% of the base fluid. So the volume of base fluid is
V1*(100-C3/100).

Since the amount of base fluid does not change, we can write

V1*(100-C3)/100 = Vo*(100-B3)/100, or

V1= Vo*(100-B3)/(100-C3)

But V1 also is equal to your initial volume, Vo, plus the amount of sealant
added (= F3)

So V1 = Vo + F3 = Vo*(100-B3)/(100-C3)

Therefore

F3 = Vo ((100-B3)/100-C3) -1) = Vo*(C3-B3)/(100-C3)

Since you say that D3 contains the % increase by volume of sealant, (i.e D3
= (C3 - B3)), we get

F3 = Vo*D3/(100-C3)

Hope I got what you want right this time :)




'Tank Sizes'!$F$6*D3/C3/4.714)
To get 302 liters I have to divide 82.5/17.5 which is 4.714 is that
correct? I'm confused about the 4.714. Thanks so much for your help!!!-
Hide quoted text -

- Show quoted text -

Here is the way I have it formatted.
Actual formula: =IF(OR(B3="",C3="",B3>C3),"",'Tank Sizes'!$F$6*D3/
C3/4.714)
"Date"
"Actual % by Volume Concentration"
"Recommended % by Volume"
"Increase% by Volume "
"Decrease g/l"
"Liters added"
"Gal. added"
"Next ScheduledTest"
23-Sep-2010 0.0% 17.5% 17.5% 304 80.24 23-Oct-2010
 

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