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Final Pressure using Integrated Form of Clausius-Clapeyron Equation Calculator

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Slope of Coexistence Curve Latent Heat

✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat [LH]			+10% -10%
✖The Final temperature is the temperature at which measurements are made in final state.ⓘ Final Temperature [T_f]			+10% -10%
✖The Initial temperature is defined as the measure of heat under initial state or conditions.ⓘ Initial Temperature [T_i]			+10% -10%
✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%

✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure using Integrated Form of Clausius-Clapeyron Equation [P_f]

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Final Pressure using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
P_f = (exp(-(LH*((1/T_f)-(1/T_i)))/[R]))*P_i
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

STEP 1: Convert Input(s) to Base Unit

Latent Heat: 25020.7 Joule --> 25020.7 Joule No Conversion Required
Final Temperature: 700 Kelvin --> 700 Kelvin No Conversion Required
Initial Temperature: 600 Kelvin --> 600 Kelvin No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_f = (exp(-(LH*((1/T_f)-(1/T_i)))/[R]))*P_i --> (exp(-(25020.7*((1/700)-(1/600)))/[R]))*65

Evaluating ... ...

P_f = 133.071545016477

STEP 3: Convert Result to Output's Unit

133.071545016477 Pascal --> No Conversion Required

FINAL ANSWER

133.071545016477 ≈ 133.0715 Pascal <-- Final Pressure of System

(Calculation completed in 00.017 seconds)

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< Clausius Clapeyron Equation Calculators

Final Temperature using Integrated Form of Clausius-Clapeyron Equation

LaTeX Go Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))

Temperature for Transitions

LaTeX Go Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)*[R])

Pressure for Transitions between Gas and Condensed Phase

LaTeX Go Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant

August Roche Magnus Formula

LaTeX Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

< Important Formulas of Clausius Clapeyron Equation Calculators

August Roche Magnus Formula

LaTeX Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

Boiling Point using Trouton's Rule given Specific Latent Heat

LaTeX Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])

Boiling Point using Trouton's Rule given Latent Heat

LaTeX Go Boiling Point = Latent Heat/(10.5*[R])

Boiling Point given Enthalpy using Trouton's Rule

LaTeX Go Boiling Point = Enthalpy/(10.5*[R])

Final Pressure using Integrated Form of Clausius-Clapeyron Equation Formula

LaTeX Go

Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
P_f = (exp(-(LH*((1/T_f)-(1/T_i)))/[R]))*P_i

What is the Clausius–Clapeyron relation?

The Clausius–Clapeyron relation, named after Rudolf Clausius and Benoît Paul Émile Clapeyron, is a way of characterizing a discontinuous phase transition between two phases of matter of a single constituent. On a pressure–temperature (P–T) diagram, the line separating the two phases is known as the coexistence curve. The Clausius–Clapeyron relation gives the slope of the tangents to this curve.

How to Calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation?

Final Pressure using Integrated Form of Clausius-Clapeyron Equation calculator uses Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System to calculate the Final Pressure of System, The Final Pressure using integrated form of Clausius-Clapeyron Equation is the final state pressure of the system. Final Pressure of System is denoted by P_f symbol.

How to calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Final Pressure using Integrated Form of Clausius-Clapeyron Equation, enter Latent Heat (LH), Final Temperature (T_f), Initial Temperature (T_i) & Initial Pressure of System (P_i) and hit the calculate button. Here is how the Final Pressure using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> 133.0715 = (exp(-(25020.7*((1/700)-(1/600)))/[R]))*65.

FAQ

What is Final Pressure using Integrated Form of Clausius-Clapeyron Equation?

The Final Pressure using integrated form of Clausius-Clapeyron Equation is the final state pressure of the system and is represented as P_f = (exp(-(LH*((1/T_f)-(1/T_i)))/[R]))*P_i or Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System. Latent Heat is the heat that increases the specific humidity without a change in temperature, The Final temperature is the temperature at which measurements are made in final state, The Initial temperature is defined as the measure of heat under initial state or conditions & Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

How to calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation?

The Final Pressure using integrated form of Clausius-Clapeyron Equation is the final state pressure of the system is calculated using Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System. To calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation, you need Latent Heat (LH), Final Temperature (T_f), Initial Temperature (T_i) & Initial Pressure of System (P_i). With our tool, you need to enter the respective value for Latent Heat, Final Temperature, Initial Temperature & Initial Pressure of System and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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