Law Vapor Pressure and Boiling Point The water wie catch on tire When water is i

Question

Law Vapor Pressure and Boiling Point The water wie catch on tire When water is in the qued state, some of escape trom The water w dsappea"stantly the suface of the water in the m of pressure resuting thom ths ir the temperature My Answers Give Up gas is caßed the vapor pressure gets high enough, the vapor pressure will be the aime as he atmosphenc pressure At thies poine Part C Asealed glass jar has a small amount of water on the bottom The rest of the volume inthe s taken up by helium gas at a partial pressure of 526 mmlg and water vapor. If the total pressure inside the jar is 760 mmlg what is the temperature of the water? Express your answer to three signiticant figures and include the appropriate units Hints 63 0] ? r Value Units Submit My Answers Give Up

Explanation / Answer

The total pressure of jar is : Ptotal = 760 mmHg
and partial pressure of He: PHe = 526 mmHg.

Now we can calculate the partial pressure of H2O:

Ptoal = PH20 + PHe
pH20 = Ptotal - PHe
   = 760 mmHg - 526 mmHg.
   = 234 mmHg.
  
Now we need to estimate the Temperature at partial pressure 234 mmHg.

Therefore, we can use clausius clapeyron equation:

ln(P1/P2) = (Hvap / R) x (1/T2 - 1/T1)

We have : P1 = 234 mmHg     :    P2 = 760 mmHg
          T1 = 100 oC = 373.15K      T2 = ?
          Hvap = 40.68 kJ/mole = 40680 J/mole
          R = 8.314 J/molK
      
plugging all the above values into the clausius clapeyron equation:

ln(760 mmHg/234 mmHg) = (40680 J/mol /8.314 J/molK) (1/T2 - 1/373.15)
1.178 = 4893 (1/T2 - 1/373.15)
0.00024 = (1/T2 - 1/373.15)
(1/T2) = 0.00292
T2 = 342.47K = 69.33 oC

Therefore, the remperature of the water = 69.33 oC = 69.3 oC (three significant figures)
      
         

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