Question

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- () - C, D) Activity: Clausius-Clapeyron Equation The Clausius Clapeyron equation allows us to find the vapor pressure at one temperature if we know the vapor pressure at another temperature and the AH Use the Clausius-Claperyon equation (given below) to solve the following problem. 1. Methanol has a normal boiling point of 64.6°C and a heat of vaporization (AHp) of 35.2 kJ/mol. What is the vapor pressure of methanol at 12.0°C? HINT: When a substance is boiling: Vapor pressure = atmospheric pressure USE R = 8.314 J/mol K 2. The Clausius Clapeyron equation can be used to graphically determine AHp. In an experiment the vapor pressure was measured at several temperatures. Below, the natural log of pressure (in atm) is graphed on the y-axis and 1/T in Kelvin) is graphed on the x-axis. Using the graph and equation below. Determine Avap R= 8.314 J/mol K In(P) = - ) Clausius Clapeyron Plot for Water y = -5832.8x + 22.459 R2 = 0.94143 ΔΗ slope = - In P 200 1.00 0.00 0.00235 0.0029 0.00295 0.003 0.00205 0.0031 0.00315

Answer 1

0 Given data Ti = 64.6 + 273.15 = 337.75k Ty = 12.0+273.15 = 205.15 k A Hvap = 35.2 kJ/mol R= 8.314 sl mol-k solution. Vapour pressure P = atmospheric pressure = 1 atm In ( ) = --Hvad (5 ) Jn (%) - Wyat (+-) Jay ( ) - ele (t +) A Hya 35.2 x looo Ilmul (1 2.363 x 0-314 v (205-15% 337254) molek Jong (+) = 1838-39 K (0.00350K+-0.00296 k-1)

1038.39K X 0.00054 K- Joy (+) = 0.993 taking Antilag of both side B = 10.993 B = 9.64 Pg = 0 atm P2 = 0.1016 atm P2 = 0.10 16 4760 torr Note latm = 760 torr P₂ = 77.22 dorg (

© y - -5032-8 + 22.459 we know that y=mx+c Slope = m = - 5832.0 . Slope = - A Hvap R. -5032.0 = - Hvab 8.314 J/malik Alvap = 48 493.09 ) Atvap = 48. 49 kJ | A Hvap = 40.5 kul