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subflood 01-11-2004 01:38 AM

specific gravity
 
I'm learning about specific gravity and I need a little help.

Say you have 5 bottles of sal****er solution. You know the percent of
salt each bottle contains and it's specific gravity. For example:

5% = 1.050
10% = 1.080
15% = 1.120
20% = 1.150
25% = 1.200

Now what if you had a bottle that contained an x% of salt but it's
specific gravity was 1.100. How would you calculate how much percent
of salt the bottle contains?

Bob 01-11-2004 05:59 PM

"subflood" > wrote in message
m...
> I'm learning about specific gravity and I need a little help.
>
> Say you have 5 bottles of sal****er solution. You know the percent of
> salt each bottle contains and it's specific gravity. For example:
>
> 5% = 1.050
> 10% = 1.080
> 15% = 1.120
> 20% = 1.150
> 25% = 1.200
>
> Now what if you had a bottle that contained an x% of salt but it's
> specific gravity was 1.100. How would you calculate how much percent
> of salt the bottle contains?


Anything with a substance dissolved in water, be it salt, sugar, or
whatever, that has a sg of 1.100 is always always always 10% by weight, not
volume.



Bob 01-11-2004 05:59 PM

"subflood" > wrote in message
m...
> I'm learning about specific gravity and I need a little help.
>
> Say you have 5 bottles of sal****er solution. You know the percent of
> salt each bottle contains and it's specific gravity. For example:
>
> 5% = 1.050
> 10% = 1.080
> 15% = 1.120
> 20% = 1.150
> 25% = 1.200
>
> Now what if you had a bottle that contained an x% of salt but it's
> specific gravity was 1.100. How would you calculate how much percent
> of salt the bottle contains?


Anything with a substance dissolved in water, be it salt, sugar, or
whatever, that has a sg of 1.100 is always always always 10% by weight, not
volume.



[email protected] 01-11-2004 08:09 PM

subflood > wrote:
> I'm learning about specific gravity and I need a little help.


> Say you have 5 bottles of sal****er solution. You know the percent of
> salt each bottle contains and it's specific gravity. For example:


> 5% = 1.050
> 10% = 1.080
> 15% = 1.120
> 20% = 1.150
> 25% = 1.200


> Now what if you had a bottle that contained an x% of salt but it's
> specific gravity was 1.100. How would you calculate how much percent
> of salt the bottle contains?


The engineer in me wants to plot a graph from sample points and
then extrapolate the % for SG=1.100 from the chart. The numbers
presented here are not consistent. Are these your real readings?
If not, do you have real readings?


-- WB




Pleasantly Surprized 01-11-2004 11:08 PM

Looks like 12.5% to me.

"subflood" > wrote in message
m...
> I'm learning about specific gravity and I need a little help.
>
> Say you have 5 bottles of sal****er solution. You know the percent of
> salt each bottle contains and it's specific gravity. For example:
>
> 5% = 1.050
> 10% = 1.080
> 15% = 1.120
> 20% = 1.150
> 25% = 1.200
>
> Now what if you had a bottle that contained an x% of salt but it's
> specific gravity was 1.100. How would you calculate how much percent
> of salt the bottle contains?




Ben Rotter 01-11-2004 11:15 PM

(subflood) wrote:

> Say you have 5 bottles of sal****er solution. You know the percent of
> salt each bottle contains and it's specific gravity. For example:
>
> 5% = 1.050
> 10% = 1.080
> 15% = 1.120
> 20% = 1.150
> 25% = 1.200
>
> Now what if you had a bottle that contained an x% of salt but it's
> specific gravity was 1.100. How would you calculate how much percent
> of salt the bottle contains?


You could interpolate between the points. For example, taking the
points either side of where SG 1.100 would appear you have:
10% = 1.080
15% = 1.120

Assuming a linear relationship, SG 1.100 is half way between SG 1.080
and 1.120, so the % salt would be half way between 10% and 15% - i.e.
it would be 12.5%.

Of course, this only accounts for the two points and assumes a linear
relationship. You could fit a curve or line to *all* your points (a
better method) and then deduce the appropriate value. Fitting a line
to your points and forcing it through the origin (0% salt should be SG
1.000) you get:
SG = 0.0079*%salt + 1

Rearranging, %Salt = (SG - 1)/0.0079.
So SG 1.100 should be 12.7% salt.

HTH,
Ben


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