Slope of Coexistence Curve given Pressure and Latent Heat Calculator

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Clausius-Clapeyron Equation

Depression in Freezing Point

Elevation in Boiling Point

Gibb's Phase Rule

Immiscible Liquids

Important Formulas of Clausius-Clapeyron Equation

Important Formulas of Colligative Properties

Osmotic Pressure

Relative Lowering of Vapour Pressure

Van't Hoff Factor

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Slope of Coexistence Curve

Latent Heat

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P]			+10% -10%
✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat [LH]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖The Slope of Coexistence Curve from the Clausius-Clapeyron equation represented as dP/dT is the slope of the tangent to the coexistence curve at any point.ⓘ Slope of Coexistence Curve given Pressure and Latent Heat [dPbydT]

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Formula

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Slope of Coexistence Curve given Pressure and Latent Heat

Formula

`"dPbydT" = ("P"*"LH")/(("T"^2)*"[R]")`

Example

`"17.07699Pa/K"=("41Pa"*"25020.7J")/((("85K")^2)*"[R]")`

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Slope of Coexistence Curve given Pressure and Latent Heat Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
dPbydT = (P*LH)/((T^2)*[R])
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Slope of Coexistence Curve - (Measured in Pascal per Kelvin) - The Slope of Coexistence Curve from the Clausius-Clapeyron equation represented as dP/dT is the slope of the tangent to the coexistence curve at any point.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Pressure: 41 Pascal --> 41 Pascal No Conversion Required
Latent Heat: 25020.7 Joule --> 25020.7 Joule No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dPbydT = (P*LH)/((T^2)*[R]) --> (41*25020.7)/((85^2)*[R])

Evaluating ... ...

dPbydT = 17.0769881060926

STEP 3: Convert Result to Output's Unit

17.0769881060926 Pascal per Kelvin --> No Conversion Required

FINAL ANSWER

17.0769881060926 ≈ 17.07699 Pascal per Kelvin <-- Slope of Coexistence Curve

(Calculation completed in 00.004 seconds)

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< 6 Slope of Coexistence Curve Calculators

Slope of Coexistence Curve of Water Vapor near Standard Temperature and Pressure

Go Slope of Co-existence Curve of Water Vapor = (Specific Latent Heat*Saturation Vapor Pressure)/([R]*(Temperature^2))

Slope of Coexistence Curve given Specific Latent Heat

Go Slope of Coexistence Curve = (Specific Latent Heat*Molecular Weight)/(Temperature*Change in Volume)

Slope of Coexistence Curve given Pressure and Latent Heat

Go Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])

Slope of Coexistence Curve using Enthalpy

Go Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)

Slope of Coexistence Curve using Latent Heat

Go Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume)

Slope of Coexistence Curve using Entropy

Go Slope of Coexistence Curve = Change in Entropy/Change in Volume

< 22 Important Formulas of Clausius-Clapeyron Equation Calculators

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation

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

Enthalpy using Integrated Form of Clausius-Clapeyron Equation

Go Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))

Final Pressure using Integrated Form of Clausius-Clapeyron Equation

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

Final Temperature using Integrated Form of Clausius-Clapeyron Equation

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

Latent Heat using Integrated Form of Clausius-Clapeyron Equation

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

Change in Pressure using Clausius Equation

Go Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)

Latent Heat of Evaporation of Water near Standard Temperature and Pressure

Go Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight

Slope of Coexistence Curve of Water Vapor near Standard Temperature and Pressure

Go Slope of Co-existence Curve of Water Vapor = (Specific Latent Heat*Saturation Vapor Pressure)/([R]*(Temperature^2))

Specific Latent Heat of Evaporation of Water near Standard Temperature and Pressure

Go Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure

Saturation Vapor Pressure near Standard Temperature and Pressure

Go Saturation Vapor Pressure = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Specific Latent Heat

Latent Heat of Vaporization for Transitions

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

Slope of Coexistence Curve given Pressure and Latent Heat

Go Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])

August Roche Magnus Formula

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

Entropy of Vaporization using Trouton's Rule

Go Entropy = (4.5*[R])+([R]*ln(Temperature))

Slope of Coexistence Curve using Enthalpy

Go Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)

Boiling Point using Trouton's Rule given Specific Latent Heat

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

Specific Latent Heat using Trouton's Rule

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

Slope of Coexistence Curve using Entropy

Go Slope of Coexistence Curve = Change in Entropy/Change in Volume

Boiling Point using Trouton's Rule given Latent Heat

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

Latent Heat using Trouton's Rule

Go Latent Heat = Boiling Point*10.5*[R]

Boiling Point given Enthalpy using Trouton's Rule

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

Enthalpy of Vaporization using Trouton's Rule

Go Enthalpy = Boiling Point*10.5*[R]

Slope of Coexistence Curve given Pressure and Latent Heat Formula

Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
dPbydT = (P*LH)/((T^2)*[R])

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 Slope of Coexistence Curve given Pressure and Latent Heat?

Slope of Coexistence Curve given Pressure and Latent Heat calculator uses Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R]) to calculate the Slope of Coexistence Curve, The Slope of Coexistence Curve given Pressure and Latent Heat from Clausius-Clapeyron equation represented as dP/dT is the slope of the tangent to the coexistence curve at any point. Slope of Coexistence Curve is denoted by dPbydT symbol.

How to calculate Slope of Coexistence Curve given Pressure and Latent Heat using this online calculator? To use this online calculator for Slope of Coexistence Curve given Pressure and Latent Heat, enter Pressure (P), Latent Heat (LH) & Temperature (T) and hit the calculate button. Here is how the Slope of Coexistence Curve given Pressure and Latent Heat calculation can be explained with given input values -> 333.2095 = (41*25020.7)/((85^2)*[R]).

FAQ

What is Slope of Coexistence Curve given Pressure and Latent Heat?

The Slope of Coexistence Curve given Pressure and Latent Heat from Clausius-Clapeyron equation represented as dP/dT is the slope of the tangent to the coexistence curve at any point and is represented as dPbydT = (P*LH)/((T^2)*[R]) or Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R]). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Latent Heat is the heat that increases the specific humidity without a change in temperature & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Slope of Coexistence Curve given Pressure and Latent Heat?

The Slope of Coexistence Curve given Pressure and Latent Heat from Clausius-Clapeyron equation represented as dP/dT is the slope of the tangent to the coexistence curve at any point is calculated using Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R]). To calculate Slope of Coexistence Curve given Pressure and Latent Heat, you need Pressure (P), Latent Heat (LH) & Temperature (T). With our tool, you need to enter the respective value for Pressure, Latent Heat & Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Slope of Coexistence Curve?

In this formula, Slope of Coexistence Curve uses Pressure, Latent Heat & Temperature. We can use 6 other way(s) to calculate the same, which is/are as follows -

Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
Slope of Coexistence Curve = Change in Entropy/Change in Volume
Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume)
Slope of Coexistence Curve = (Specific Latent Heat*Molecular Weight)/(Temperature*Change in Volume)
Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
Slope of Coexistence Curve = Change in Entropy/Change in Volume

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