At a certain temperature, the solubility of gas in water at 2.04 is 48.0 . Calculate the solubility of gas in water, at the same temperature, if the partial pressure of gas over the solution is increased from 2.04 to 6.00 .
141
No units.
To calculate the solubility of a gas in water at the same temperature, when the partial pressure of the gas over the solution is increased, you can use Henry's law.
Henry's law states that the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid. The equation for Henry's law is:
C = k * P
Where:
C is the solubility of the gas in the liquid
k is the Henry's law constant specific to the gas and solvent
P is the partial pressure of the gas above the liquid
In this case, we are given the initial solubility of the gas in water at 2.04 is 48.0 and the partial pressure of the gas is 2.04. Let's assume the Henry's law constant (k) is constant.
So, we can write the equation as:
48.0 = k * 2.04
Now we need to find the value of k. We can rearrange the equation:
k = 48.0 / 2.04
k ≈ 23.53
Now, we can use this value of k to find the solubility of the gas when the partial pressure is increased to 6.00.
C = k * P
C = 23.53 * 6.00
C ≈ 141.18
Therefore, the solubility of the gas in water will be approximately 141.18 when the partial pressure of the gas is increased from 2.04 to 6.00 at the same temperature.
To calculate the solubility of a gas in water, we can use Henry's Law, which states that the solubility of a gas is directly proportional to the partial pressure of the gas above the liquid.
Henry's Law equation is given as:
S = k * P
Where:
S = solubility of the gas
k = Henry's Law constant
P = partial pressure of the gas above the solution
In this case, we can solve for the solubility of the gas at the new partial pressure using the given values.
Given:
Partial pressure at first = 2.04 atm
Solubility at first = 48.0
We need to find:
Solubility at the new partial pressure (P_new = 6.00 atm)
Step 1: Find Henry's Law constant (k):
To calculate the constant, we can rearrange the equation to solve for k:
k = S / P
Using the given values, plug them into the equation:
k = 48.0 / 2.04
Step 2: Calculate the solubility at the new partial pressure:
Now, use the new partial pressure (P_new = 6.00 atm) in the Henry's Law equation:
S_new = k * P_new
Substitute the calculated value of k and the new partial pressure:
S_new = (48.0 / 2.04) * 6.00
Simplify the expression:
S_new = 140.74
Therefore, the solubility of the gas in water, at the same temperature, with a partial pressure of 6.00 atm, is approximately 140.74.