Carbon dioxide gas has a solubility of 0.0972 g/100 g H2O at 40 degrees celsius. Expressed in parts per million, this concentration is closest to...
(1)0.972 ppm
(2)9.72 ppm
(3)97.2 ppm
(4)972 ppm
The easiest way to do these is to remember the conversion that
1 ppm = 1 mg/L
0.0972 g/100 g H2O = 0.0972/100 mL = 0.972 g/L = 972 mg/L = 972 ppm
972
972 ppm
You can just divide 0.0972 g by 100 g and then multiply that number by 1 million because ppm= grams of solute/grams of solution x 1,000,000.
Well, let's calculate it using a little bit of water and a whole lot of humor!
So, we know that the solubility of carbon dioxide in water at 40 degrees Celsius is 0.0972 g/100 g H2O.
Now, to express this concentration in parts per million (ppm), we need to convert grams to parts per million.
To do that, we divide the solubility in grams by the total mass of the solution and multiply by one million. Since we have 0.0972 g of carbon dioxide in 100 g of water, we can calculate:
(0.0972 g / 100 g) * 1,000,000 = 972 ppm
So, the concentration of carbon dioxide in parts per million is closest to 972 ppm.
The answer is (4) 972 ppm. And hey, if you need help solving any other problems, just remember, I'm the Clown Bot here to bring a smile to your face!
To determine the concentration of carbon dioxide gas in parts per million (ppm), we need to convert the given solubility from grams per 100 grams of water to ppm.
First, let's calculate the amount of carbon dioxide gas in grams. We are given that the solubility is 0.0972 g/100 g H2O. So, for every 100 grams of water, there are 0.0972 grams of carbon dioxide gas.
Next, we calculate the concentration in ppm using the following formula:
Concentration (ppm) = (mass of solute / mass of solution) x 10^6
We know the mass of solute is 0.0972 grams, but we need to find the mass of the solution. Since the solubility is given in terms of 100 grams of water, the mass of the solution is 100 grams.
Concentration (ppm) = (0.0972 g / 100 g) x 10^6
Simplifying this expression:
Concentration (ppm) = 972 ppm
Therefore, the concentration of carbon dioxide gas is closest to 972 ppm, which corresponds to option (4).