Calculate the air concentration (mol/l) of phenol in equilibrium with solution including 100 g/m3 of phenol.(T=20 C)
To calculate the air concentration of phenol in equilibrium with a solution, you will need to use Henry's Law. Henry's Law states that the concentration of a solute in a liquid is directly proportional to the partial pressure of that solute in the gas phase.
The equation for Henry's Law is:
C = k * P
Where:
C is the concentration of the solute in the liquid (in mol/L)
k is the Henry's Law constant (in mol/(L * bar))
P is the partial pressure of the solute in the gas phase (in bar)
To find the air concentration (C), you will first need to convert the concentration of phenol in the solution from grams per cubic meter (g/m³) to mol/L. Then, you will need to find the partial pressure of phenol in the gas phase.
1. Convert the concentration of phenol in the solution from grams per cubic meter (g/m³) to mol/L using the molar mass of phenol.
The molar mass of phenol (C6H6O) is:
C: 12.01 g/mol
H: 1.01 g/mol
O: 16.00 g/mol
So, the molar mass of phenol is:
12.01 + 6(1.01) + 16.00 = 94.11 g/mol
To convert grams per cubic meter to mol/L, use the following equation:
Concentration (mol/L) = Concentration (g/m³) / molar mass (g/mol)
Concentration (mol/L) = 100 g/m³ / 94.11 g/mol
2. Calculate the partial pressure of phenol in the gas phase using Henry's Law.
To calculate the partial pressure (P), rearrange the Henry's Law equation:
P = C / k
We need to find the Henry's Law constant (k) for phenol at the given temperature of 20 °C. This value can be obtained from literature or experimental data. Once you have the value for k, you can substitute it into the equation.
3. Plug in the calculated concentration (C) and the Henry's Law constant (k) into the equation to find the air concentration (mol/L) of phenol in equilibrium with the solution.
C = k * P
Make sure to use consistent units throughout the calculation. If the Henry's Law constant is given in a different unit, you may need to convert it.
By following these steps and plugging in the appropriate values, you can calculate the air concentration of phenol in equilibrium with the solution.