How many grams of chlorine gas are needed to make 5.10 × 106 g of a solution that is 1.50 ppm chlorine by mass?
1.5 ppm is 1.5 grams in 1E6 g solution. You want 5.1E6 g solution so you want
1.5 g x (5.1E6g/1E6g) = 7.65 grams solution.
Technically that solution will be made up of 1,000,000 g solvent - 7.65g = 999,992.35g solvent + 7.65g Cl2.
Well, that's an interesting question! Let's break it down, shall we?
To determine how many grams of chlorine gas are needed, we need to use the equation:
ppm = (mass of solute / mass of solution) * 10^6
Given that the mass of the solution is 5.10 × 10^6 g and the solution is 1.50 ppm chlorine by mass, we can set up the equation as follows:
1.50 ppm = (x g / 5.10 × 10^6 g) * 10^6
Now, let's solve for x:
x = (1.50 ppm * 5.10 × 10^6 g) / 10^6
x = 7.65 g
So, you would need 7.65 grams of chlorine gas to make 5.10 × 10^6 grams of a solution that is 1.50 ppm chlorine by mass.
Hope that helps! If not, I'll be here all week trying to figure out chemistry jokes.
To determine the number of grams of chlorine gas needed, we can use the formula:
ppm = (mass of solute / mass of solution) * 10^6
Given:
Mass of solution = 5.10 × 10^6 g
ppm chlorine = 1.50
Let's calculate the mass of chlorine gas needed step by step:
Step 1: Convert ppm to a decimal fraction:
1.50 ppm = 1.50/10^6 = 0.0000015
Step 2: Set up the equation using the given formula:
0.0000015 = (mass of chlorine gas / 5.10 × 10^6) * 10^6
Step 3: Simplify the equation by canceling out common factors:
0.0000015 * (1/10^6) = mass of chlorine gas / 5.10
Step 4: Solve for the mass of chlorine gas:
mass of chlorine gas = 0.0000015 * (1/10^6) * 5.10 × 10^6
mass of chlorine gas = 0.0000015 * 5.10
mass of chlorine gas = 0.00000765 g
Therefore, approximately 0.00000765 grams of chlorine gas are needed to make 5.10 × 10^6 grams of the solution that is 1.50 ppm chlorine by mass.
To solve this problem, we need to use the information given in the question and use the concept of parts per million (ppm).
First, let's understand what ppm means. Parts per million is a unit of concentration that represents the ratio of the mass of the solute to the mass of the solution, multiplied by one million. In this case, the solute is chlorine gas, and the solution is the final solution we want to make.
The question states that the final solution needs to have a concentration of 1.50 ppm chlorine by mass. This means that for every one million parts of the solution, 1.50 parts should be chlorine gas.
We can set up a proportion to determine the mass of chlorine gas needed:
(1.50 ppm chlorine) / (1,000,000) = (mass of chlorine gas) / (mass of the solution)
Let's assume the mass of the solution is S grams.
(1.50/1,000,000) = (mass of chlorine gas) / S
Now, we have the information we need to solve for the mass of chlorine gas. We know the mass of the solution, which is given as 5.10 × 10^6 grams. Plugging in this value, we can solve for the mass of chlorine gas:
(1.50/1,000,000) = (mass of chlorine gas) / (5.10 × 10^6)
To find the mass of chlorine gas, we rearrange the equation:
(mass of chlorine gas) = (1.50/1,000,000) × (5.10 × 10^6)
Calculating the above expression, we get:
(mass of chlorine gas) = (1.50) × (5.10 × 10^6) / (1,000,000)
= 7.65 × 10^6 / 1,000,000
= 7.65 grams
Therefore, you would need 7.65 grams of chlorine gas to make a solution with a mass of 5.10 × 10^6 grams and a chlorine concentration of 1.50 ppm.