7.14% I think. (200/1,000,000) x 357
Where do you get the 357?
I tried to check that 7.14% with ChatGPT, I don't think it knows how to figure it out or I don't know how to ask the question. Or maybe it just gave up!
Here is the conversation.
Me,
I have a bleach that if 1 cup is mixed with 2 gallons of water will make 200 parts per million of chlorine. What percent bleach is this
ChatGPT
To determine the percentage of bleach in the solution, you can use the formula:
Percentage=(Volume of BleachTotal Volume)×100Percentage=(Total VolumeVolume of Bleach)×100
In this case, if 1 cup of bleach is mixed with 2 gallons of water to make a solution with 200 parts per million (ppm) of chlorine, you'll need to convert all units to a common one, like gallons.
1 cup is equivalent to approximately 0.0625 gallons (since 1 gallon = 16 cups).
So, the total volume of the solution is 0.0625+2=2.06250.0625+2=2.0625 gallons.
Now, we can calculate the percentage of bleach:
Percentage=(0.06252.0625)×100Percentage=(2.06250.0625)×100
Percentage≈3.03%Percentage≈3.03%
Therefore, if 1 cup of bleach is mixed with 2 gallons of water, it results in a solution containing approximately 3.03% bleach.
Sorry, I want the concentration of the bleach before I mixed it with water
ChatGPT
Certainly, let's calculate the concentration of the bleach before it's mixed with water.
You mentioned that if 1 cup of bleach is mixed with 2 gallons of water, it makes a solution with 200 parts per million (ppm) of chlorine.
First, let's convert the units:
- 1 cup is approximately 0.0625 gallons.
- The total volume of the mixed solution is 0.0625+2=2.06250.0625+2=2.0625 gallons.
Now, we know that the concentration is 200 ppm, which means 200 parts of chlorine per million parts of the solution.
The parts of chlorine in this case would be 0.0625 (the volume of the bleach in gallons) because the bleach is assumed to be 100% chlorine.
So, the concentration in ppm is:
Concentration=(Parts of ChlorineTotal Volume of Solution)×1,000,000Concentration=(Total Volume of SolutionParts of Chlorine)×1,000,000
Concentration=(0.06252.0625)×1,000,000Concentration=(2.06250.0625)×1,000,000
Concentration≈30,413 ppmConcentration≈30,413ppm
Therefore, the concentration of the bleach before mixing with water is approximately 30,413 parts per million (ppm).
In percentage
ChatGPT
To express the concentration of bleach in percentage before mixing with water, you can use the following formula:
Percentage=(Parts of ChlorineTotal Parts of Solution)×100Percentage=(Total Parts of SolutionParts of Chlorine)×100
In this case, the parts of chlorine are 0.0625 (the volume of the bleach in gallons), and the total parts of the solution are 2.0625 (the total volume of the mixed solution in gallons).
Percentage=(0.06252.0625)×100Percentage=(2.06250.0625)×100
Percentage≈3.03%Percentage≈3.03%
Therefore, the concentration of the bleach before mixing with water is approximately 3.03%.
Sorry, the bleach is already diluted, I want to now the percentage of bleach before I mixed 1 cup to 2 gallons of water
ChatGPT
I apologize for the confusion. If the bleach is already diluted before mixing 1 cup with 2 gallons of water, and the resulting solution has a chlorine concentration of 200 parts per million (ppm), we can calculate the percentage of bleach before dilution.
Let xx be the original concentration of the bleach in percentage.
The calculation can be set up as follows:
Concentrationbefore dilution=(Parts of ChlorineTotal Parts of Solution)×100Concentrationbefore dilution=(Total Parts of SolutionParts of Chlorine)×100
Given that the resulting concentration is 200 ppm:
x=(Parts of ChlorineTotal Parts of Solution)×100x=(Total Parts of SolutionParts of Chlorine)×100
x=(200 ppm×Total Parts of Solution1,000,000)×100x=(1,000,000200 ppm×Total Parts of Solution)×100
Substitute the total parts of the solution (1 cup of bleach plus 2 gallons of water):
x=(200 ppm×(1+2)1,000,000)×100x=(1,000,000200 ppm×(1+2))×100
x=(600 ppm1,000,000)×100x=(1,000,000600 ppm)×100
x=0.06%x=0.06%
Therefore, the original concentration of the bleach before dilution was approximately 0.06%.
Did you mean to say 6%, that is much more like a store bought bleach should be.
ChatGPT
I apologize for any confusion. My earlier response indeed suggests that the original concentration of the bleach before dilution was 0.06%, which may not be consistent with typical household bleach concentrations.
If household bleach is commonly sold at around 6% sodium hypochlorite concentration, it's likely that the original concentration was indeed 6% before dilution. I appreciate your clarification, and you are correct. So, the original concentration of the bleach before mixing 1 cup with 2 gallons of water is more likely to be 6%.
Ya, not spot on.