Final answer:
Using Henry's Law, 0.0748 grams of carbon monoxide (CO) will dissolve in 1.00 L of water when the partial pressure of CO is 2.75 atm, with the provided Henry's Law constant of 9.71 × 10^-4 mol/(L·atm).
Step-by-step explanation:
The student has asked how many grams of CO will dissolve in 1.00 L of water if the partial pressure of CO is 2.75 atm, given that the Henry's law constant (k) for carbon monoxide in water at 25°C is 9.71 × 10-4 mol/(L·atm). To answer this question, we first use Henry's Law, which states that the solubility of a gas in a liquid is directly proportional to the pressure of the gas above the liquid. The formula for Henry's Law is:S = kP
Where S is the solubility of the gas (in mol/L), k is the Henry's Law constant, and P is the partial pressure of the gas. Plugging in the values, we get:
S = (9.71 × 10-4 mol/(L·atm)) × (2.75 atm) = 2.67 × 10-3 mol/L
Now that we have the solubility, we can calculate the mass of CO that will dissolve by converting moles to grams using the molecular weight of CO (28.01 g/mol):
Mass of CO = S × molecular weight of CO = (2.67 × 10-3 mol/L) × (28.01 g/mol) = 0.0748 g
Therefore, 0.0748 grams of CO will dissolve in 1.00 L of water at a partial pressure of 2.75 atm.