How many grams of chlorine gas are needed to make 5.40 x 10 6 g or a solution that is 1.40 ppm chlorine by mass?
Ah, clingy chlorine gas! Alright, let's find the answer. First, let us convert the given concentration from parts per million (ppm) to mass per mass (grams per gram).
1 ppm = 1 mg/kg = 1 mg/g = 0.001 g/g
So, 1.40 ppm chlorine will be 0.0014 g chlorine per gram of solution.
Now that we know this, we can find the amount of chlorine gas needed to make a 5.40 x 10^6 g solution with this concentration.
Simply multiply the total mass of the solution by the mass fraction of chlorine:
5.40 x 10^6 g x 0.0014 g/g = 7,560 g
Therefore, you will need approximately 7,560 grams of chlorine gas to make the desired solution. Have fun swimming with those chlorine molecules!
To determine the grams of chlorine gas needed, we need to use the formula:
ppm = (grams of solute / grams of solution) x 10^6
Given:
Mass of the solution (grams) = 5.40 x 10^6 g
Concentration of chlorine (ppm) = 1.40 ppm
1 ppm is equivalent to 1 mg/L, and since g/L = mg/L, 1 ppm is also equivalent to 1 g/L.
Therefore, we can write the equation as:
1.40 ppm = (grams of chlorine gas / 5.40 x 10^6 g) x 10^6
Simplifying:
1.40 = grams of chlorine gas / 5.40
Cross-multiplying:
grams of chlorine gas = 1.40 x 5.40
grams of chlorine gas = 7.56 g
Therefore, 7.56 grams of chlorine gas are needed to make a solution that is 1.40 ppm chlorine by mass.
To find the number of grams of chlorine gas needed, we need to use the given mass of the solution and the desired concentration of chlorine.
First, let's convert the concentration from parts per million (ppm) to a decimal. Since 1 ppm is equivalent to 1 part per million, we have 1.40 ppm chlorine.
1 ppm chlorine = 1 g of chlorine per 1 million g of solution.
So, to convert ppm to a decimal, we divide by one million:
1.40 ppm chlorine = 1.40 g chlorine / 1,000,000 g solution.
Now, we can set up a proportion to calculate the mass of chlorine gas needed. Let x represent the grams of chlorine gas.
x g chlorine / 1,000,000 g solution = 5.40 x 10^6 g solution / 1 g chlorine.
Cross-multiplying the values, we get:
x g chlorine = (1.40 g chlorine / 1,000,000 g solution) * (5.40 x 10^6 g solution)
Now, let's solve for x:
x = (1.40 g chlorine / 1,000,000 g solution) * (5.40 x 10^6 g solution)
x = 7.56 g chlorine
Therefore, approximately 7.56 grams of chlorine gas are needed to make 5.40 x 10^6 g of a solution that is 1.40 ppm chlorine by mass.
A ppm is 1g solute/10^6 g solution.
You want 1.40 ppm and you want 5.40E6 g of that solution; therefore,
(x g solute/5.40E6g soln)*10^6 = 1.40
x = 1.40*5.40 = 7.56 g Cl2.
Then 7.56 g Cl2/5.40E6 g solution = 1.40 ppm