The question is incomplete, here is the complete question:
At 25°C Henry's Law constant for carbon dioxide gas in water is 0.031 M/atm . Calculate the mass in grams of gas that can be dissolved in 425. mL of water at 25°C and at a partial pressure of 2.92 atm. Round your answer to 2 significant digits.
<u>Answer:</u> The mass of carbon dioxide that can be dissolved is 1.7 grams
<u>Explanation:</u>
To calculate the molar solubility, we use the equation given by Henry's law, which is:
![C_{CO_2}=K_H\times p_{CO_2}](https://tex.z-dn.net/?f=C_%7BCO_2%7D%3DK_H%5Ctimes%20p_%7BCO_2%7D)
where,
= Henry's constant = ![0.031M/atm](https://tex.z-dn.net/?f=0.031M%2Fatm)
= molar solubility of carbon dioxide gas
= partial pressure of carbon dioxide gas = 2.92 atm
Putting values in above equation, we get:
![C_{CO_2}=0.031M/atm\times 2.92 atm\\\\C_{CO_2}=0.0905M](https://tex.z-dn.net/?f=C_%7BCO_2%7D%3D0.031M%2Fatm%5Ctimes%202.92%20atm%5C%5C%5C%5CC_%7BCO_2%7D%3D0.0905M)
To calculate the mass of solute, we use the equation used to calculate the molarity of solution:
![\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%5Ctimes%201000%7D%7B%5Ctext%7BMolar%20mass%20of%20solute%7D%5Ctimes%20%5Ctext%7BVolume%20of%20solution%20%28in%20mL%29%7D%7D)
Given mass of carbon dioxide = ? g
Molar mass of carbon dioxide = 44 g/mol
Molarity of solution = ![0.0905mol/L](https://tex.z-dn.net/?f=0.0905mol%2FL)
Volume of solution = 425 mL
Putting values in above equation, we get:
![0.0905mol/L=\frac{\text{Mass of carbon dioxide}\times 1000}{44g/mol\times 425}\\\\\text{Mass of solute}=\frac{44\times 425\times 0.0905}{1000}=1.7g](https://tex.z-dn.net/?f=0.0905mol%2FL%3D%5Cfrac%7B%5Ctext%7BMass%20of%20carbon%20dioxide%7D%5Ctimes%201000%7D%7B44g%2Fmol%5Ctimes%20425%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20solute%7D%3D%5Cfrac%7B44%5Ctimes%20425%5Ctimes%200.0905%7D%7B1000%7D%3D1.7g)
Hence, the mass of carbon dioxide that can be dissolved is 1.7 grams