Calculating partial pressures Pa and Pw

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Additionally, the negative number you are getting for Pw-Pa is due to the fact that you are using the wrong units for Pa. In summary, the conversation discusses the use of equations to calculate the partial pressure of water vapor and the density of dry air at a given humidity level and temperature. It also mentions the potential error in the provided humidity level and the incorrect use of units in one of the equations.
  • #1
CognitiveNet
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The humidity level is 80% and T=303Kelvin. So I can use the equation RH = Pw/Pws to calculate the Pw = Partial pressure of water vapor, by finding Pws with the following equation:

Pws=e^(77.3450+0057T-7235/T)/T^8.2 = 4200Pa, where T is in Kelvin.
So Pw=0.8*4200Pa=3360Pa

I can find Pa by using two equations for the density of dry air:

pa=0.0035*Pa/T, where pa = density of dry air
I rearrange this into Pa=paT/0.0035

Now I calculate the density of dry air by using the ideal gas law:

pa= P / Rspecific*T which gives me: 101325 Pascal / 287.058*303 Kelvin = 1.1644Kg/m^3

So Pa=1.1644*303/0.0035=100803Pa or 100.8 KPa. But this seems like too much.

Because the equation for evaporation rate is W = (95+0.425*V)*(Pw-Pa)/Y

And Pw-Pa in this case gives me a negative number.
So what am I doing wrong?
 
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  • #2
It is likely that the humidity level of 80% you provided is not accurate, as a RH of 80% at 303K would result in a partial pressure of water vapor greater than the total atmospheric pressure. A more realistic RH at 303K would be around 44%.
 

FAQ: Calculating partial pressures Pa and Pw

1. What is the formula for calculating partial pressures Pa and Pw?

The formula for calculating partial pressures Pa and Pw is Pa = Xa * Ptotal and Pw = Xw * Ptotal, where Xa and Xw represent the mole fractions of the gases and Ptotal is the total pressure of the gas mixture.

2. How do I determine the mole fractions of the gases in a mixture?

To determine the mole fractions of the gases in a mixture, divide the moles of each gas by the total moles of all gases present in the mixture.

3. Can partial pressures Pa and Pw be negative?

No, partial pressures Pa and Pw cannot be negative. The partial pressure of a gas is a measure of its concentration and must always be positive.

4. What is the difference between partial pressure and total pressure?

Partial pressure is the pressure exerted by a single gas in a mixture, while total pressure is the sum of all the partial pressures of the gases in the mixture.

5. Does temperature affect the calculation of partial pressures Pa and Pw?

Yes, temperature does affect the calculation of partial pressures Pa and Pw. As temperature increases, the total pressure of the gas mixture will also increase, resulting in higher partial pressures for each gas in the mixture.

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