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Multiple Choice
At 0°C and 1.00 atm, as much as 0.84 g of O2 can dissolve in 1.0 L of water. At 0°C and 4.00 atm, how many grams of O2 dissolve in 1.0 L of water?
A
0.105 g
B
3.36 g
C
6.72 g
D
4.68 g
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Verified step by step guidance
1
Understand that the problem involves 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: , where is the solubility, is Henry's Law constant, and is the pressure.
First, calculate the Henry's Law constant using the initial conditions: at . Rearrange the formula to find .
Substitute the known values into the rearranged formula to find : .
Use the calculated Henry's Law constant to find the solubility of O2 at the new pressure of . Apply the formula: .
Calculate the new solubility using the value of obtained from the initial conditions and the new pressure. This will give you the amount of O2 that can dissolve in 1.0 L of water at .