What is the Clausius-Clapeyron equation used for?
The equation describes the phase transition between two phases of matter that have the same composition. Thus, the Clausius-Clapeyron equation can be used to estimate vapor pressure as a function of temperature or to find the heat of the phase transition from the vapor pressures at two temperatures.
What is Clausius clapeyron scaling?
For instantaneous rainrates and accumulations up to one hour, extreme rainfall scales with Clausius-Clapeyron (CC) for temperatures below 24°C and at up to twice CC above 24°C. For longer accumulation periods and higher temperatures the scaling breaks down due to increased propagation of the squall line.
When was the Clausius-Clapeyron equation created?
Willard Gibbs in 1876 and based on a rigorous thermodynamic relationship.
What is the Clausius Clapeyron relation and what is the mathematical equation that represents this relation?
Equation 2 is known as the Clausius-Clapeyron Equation and allows us to estimate the vapor pressure at another temperature, if the vapor pressure is known at some temperature, and if the enthalpy of vaporization is known.
Is the Clausius-Clapeyron equation?
Why is the Clausius-Clapeyron equation not exact?
The Clausius-Clapeyron equation is not exact, since approximations are used in its derivation. Its use is confined to processes involving vapor phase equilibrium, but nevertheless the equation is very useful.
What does C stand for in the Clausius-Clapeyron equation?
integration constant
Representation of the Clausius–Clapeyron equation (p = pressure of the phase; T = absolute temperature; ΔH = molar enthalpy of the phase transition; ΔV = difference in the molar volumes of the two phases 1 and 2; c = integration constant; R = gas constant).
What is the difference between Clapeyron equation and Clausius-Clapeyron equation?
The Clausius-Clapeyron equation gives the relationship between P and T along the phase boundaries such as vapour to solid and vapour to liquid, whereas the Antoine’s equation specifically describes the relation between P and T along the vapour-liquid phase boundary.
Who discovered the Clausius-Clapeyron equation?
physical relationship known as the Clausius-Clapeyron equation, named for 19th-century German physicist Rudolf Clausius and 19th-century French engineer Émile Clapeyron.
What is the slope in the Clausius-Clapeyron equation?
The Clausius-Clapeyron equation also suggests that a plot of ln(p) vs. 1/T should yield a straight line, the slope of which is –ΔH/R (provided that ΔHvap is independent of temperature over the range of temperatures involved..
What is the Clausius-Clapeyron equation?
The Clausius-Clapeyron equation relates the heat of vaporization and vapor pressure. The Clausius Clapeyron equation is shown below in a form similar to a linear equation (y=mx+b). Vapor pressure rises non-linearly as temperature rises since they-term in this case is a natural log of the vapor pressure.
How does temperature affect the Clausius Clapeyron equation?
Clausius Clapeyron Equation Derivation in Thermodynamics The temperature of the system affects the balance between water and water vapour. The saturation pressure of water vapour rises as the temperature rises. The Clausius Clapeyron equation calculates the rate of increase in vapour pressure per unit increase in temperature.
How do you calculate the enthalpy of sublimation from Clausius’equation?
The enthalpy of sublimation is Δ H s u b. Use a piece of paper and derive the Clausius-Clapeyron equation so that you can get the form: Δ H s u b = R ln (P 273 P 268) 1 268 K − 1 273 K = 8.3145 ln
How to calculate enthalpy of vapourization using Clausius Clapeyron equation?
Step 1: Enter the initial and final temperature and its vapour pressure in the respective input field Step 3: Finally, the molar enthalpy of the vapourization using the Clausius Clapeyron equation will be displayed in the output field What is Meant by the Clausius Clapeyron Equation?