Calculating Boiling Point Using Clausius Claperon Equation

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In summary, the boiling point of water at 300m can be calculated using the equation dp/dt = L/T(v2-v1), where v is the specific volume of water at different temperatures. The equation can be simplified by taking into account the relative numbers involved with v2 and v1, and also considering the ideal gas law.
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anirudh dutta
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Homework Statement


cal the boiling point of water at 300m. assume its 100 degree centigrade at sea level. given g, R, T=300K, molecular weight of air is 29g/mol and latent heat of evaporation is 540 cal/g at STP


Homework Equations


The equation is

dp/dt= L/T(v2-v1)

where v is the specific volume of water at temp 1 and temp 2

The Attempt at a Solution


i was able to calcutale dp as it ρgh. i m stuck what to do with v2-v1 part
 
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  • #2
Consider the relative numbers involved with v2 vs. v1. Simplify the equation accordingly.

Then think about the ideal gas law.
 

1. What is the Clausius-Clapeyron Equation?

The Clausius-Clapeyron Equation is a fundamental thermodynamic equation that relates the change in pressure and temperature of a substance to its enthalpy of vaporization. It is often used to calculate the vapor pressure of a substance at different temperatures.

2. Who developed the Clausius-Clapeyron Equation?

The Clausius-Clapeyron Equation was independently developed by German physicist Rudolf Clausius and French engineer Benoit Paul Émile Clapeyron in the mid-19th century.

3. What is the significance of the Clausius-Clapeyron Equation?

The Clausius-Clapeyron Equation is important in understanding the behavior of a substance as it changes from a liquid to a gas. It is also used to predict phase changes, such as boiling and condensation, and to determine the critical point of a substance.

4. How is the Clausius-Clapeyron Equation derived?

The Clausius-Clapeyron Equation is derived from the First and Second Laws of Thermodynamics, which state that energy is conserved and that heat always flows from hot to cold. By using these principles, the equation can be derived to relate the change in pressure and temperature to the heat of vaporization.

5. In what industries is the Clausius-Clapeyron Equation commonly used?

The Clausius-Clapeyron Equation is used in a wide range of industries, including meteorology, chemistry, and engineering. It is particularly useful in predicting the behavior of substances in processes such as distillation, refrigeration, and power generation.

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