# Irreversible adiabatic reaction

1. Oct 14, 2007

### liquidicy

Hey everyone =) This is my first post here but i've been lurking for a while.

Anyway, so i am taking this physical chemistry class and I can't seem to solve this problem. I think it is still a physics problem.

Anyway, it goes like this:

small amount of moles of steam (.83 moles) @ 100 celsius is added to a larger amount of water (13.9 moles) @ 25 Celsius. The pressure standard is constant and walls are adiabatic. They want me to find the total entropy change for the process.

Basically this problem would be really easy if it was easy to find the final temperature of the system. I can't figure it out.

The problem gives data such as enthalpy of vaporization of water which is 40.656 kJ/mol @ 373.15 kelvin. They also give me molar heat capacities of liquid water @ constant pressure: (Cp) (75.25 J/(k*mole)) and steam (33.256J/(K*mole))

Basically i thought total enthalpy change would be zero. I am not even sure of that but assuming it is, I got this equation:

(moles of gas)*(enthalpy of vaporization) + (moles of vapor turned water)*(Cp of water)*($$\Delta$$ T of gas turned water) = (moles of the water @25)*(Cp of water)+($$\Delta$$ in T of water)

After finding the final temperature, i realized that it is impossible. I got a 25 degree change in temperature of the water after adding basically 15 grams of water to 250 grams of water. It is like adding a tablespoon of boiling water into a pretty large cup of water. It wouldn't change the temperature by 25 degrees. So that means that the formula that I had was wrong =(

Can anyone suggest an alternate solution? Thnx =)