How Do You Calculate Heat of Vaporization Using the Clausius Clapeyron Equation?

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SUMMARY

The discussion focuses on calculating the heat of vaporization (Hvap) using the Clausius Clapeyron equation, specifically the equation ln P = (-delta Hvap/R)*(1/T) + C. The slope of the graph, given as -8.000 x 10^3 K, represents -deltaHvap/R. To isolate -deltaHvap, one must rearrange the equation to find Hvap by multiplying the slope by the gas constant R (approximately 8.314 J/(mol·K)). This results in a definitive calculation of the heat of vaporization for the gas in question.

PREREQUISITES
  • Understanding of the Clausius Clapeyron equation
  • Familiarity with the concept of vapor pressure
  • Knowledge of the gas constant (R) value
  • Basic algebra for rearranging equations
NEXT STEPS
  • Calculate the heat of vaporization for different substances using the Clausius Clapeyron equation
  • Explore the implications of vapor pressure in thermodynamics
  • Learn about the relationship between temperature and vapor pressure
  • Study the applications of the Clausius Clapeyron equation in real-world scenarios
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Chemistry students, thermodynamics enthusiasts, and professionals involved in physical chemistry or chemical engineering will benefit from this discussion.

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Homework Statement



slope: -8.000 x 10^3 K
The graph is of ln vapor pressure of a gas vs. invert kelvin temperature
Using the Clausius Clapeyron equation, find Hvap (heat of vaporization)

Homework Equations



Clausius Clapeyron equation: ln P= (-delta Hvap/R)*(1/T) + C

The Attempt at a Solution



I tried using the given slope in the equation as T. Then I tried using y=mb. I multiplied the slope by 100K thinking I could find lnP.
 
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In this example you have the equation in the form of a line already.

y=mx + b

where y is lnP, m is -deltaHvap/R, x is 1/T and b is C. You are asked to determine the value of -deltaHvap given that the slope (m) is -8000 K.

Can you find a way to tease out the -deltaHvap from the expression for the slope (-8000 K = -deltaHvap/R)?
 

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