Slope of Coexistence Curve using Entropy 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

✖The Change in Entropy is the difference between the final and initial entropy.ⓘ Change in Entropy [ΔS]			+10% -10%
✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+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 using Entropy [dPbydT]

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Formula

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Slope of Coexistence Curve using Entropy

Formula

`"dPbydT" = "ΔS"/"∆V"`

Example

`"16.07143Pa/K"="900J/K"/"56m³"`

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Slope of Coexistence Curve using Entropy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Coexistence Curve = Change in Entropy/Change in Volume
dPbydT = ΔS/∆V
This formula uses 3 Variables

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.
Change in Entropy - (Measured in Joule per Kelvin) - The Change in Entropy is the difference between the final and initial entropy.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.

STEP 1: Convert Input(s) to Base Unit

Change in Entropy: 900 Joule per Kelvin --> 900 Joule per Kelvin No Conversion Required
Change in Volume: 56 Cubic Meter --> 56 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dPbydT = ΔS/∆V --> 900/56

Evaluating ... ...

dPbydT = 16.0714285714286

STEP 3: Convert Result to Output's Unit

16.0714285714286 Pascal per Kelvin --> No Conversion Required

FINAL ANSWER

16.0714285714286 ≈ 16.07143 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 using Entropy Formula

Slope of Coexistence Curve = Change in Entropy/Change in Volume
dPbydT = ΔS/∆V

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 using Entropy?

Slope of Coexistence Curve using Entropy calculator uses Slope of Coexistence Curve = Change in Entropy/Change in Volume to calculate the Slope of Coexistence Curve, The Slope of Coexistence Curve using Entropy 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 using Entropy using this online calculator? To use this online calculator for Slope of Coexistence Curve using Entropy, enter Change in Entropy (ΔS) & Change in Volume (∆V) and hit the calculate button. Here is how the Slope of Coexistence Curve using Entropy calculation can be explained with given input values -> 16.07143 = 900/56.

FAQ

What is Slope of Coexistence Curve using Entropy?

The Slope of Coexistence Curve using Entropy 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 = ΔS/∆V or Slope of Coexistence Curve = Change in Entropy/Change in Volume. The Change in Entropy is the difference between the final and initial entropy & The Change in volume is difference of initial and final volume.

How to calculate Slope of Coexistence Curve using Entropy?

The Slope of Coexistence Curve using Entropy 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 = Change in Entropy/Change in Volume. To calculate Slope of Coexistence Curve using Entropy, you need Change in Entropy (ΔS) & Change in Volume (∆V). With our tool, you need to enter the respective value for Change in Entropy & Change in Volume 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 Change in Entropy & Change in Volume. 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 = Latent Heat/(Temperature*Change in Volume)
Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
Slope of Coexistence Curve = (Specific Latent Heat*Molecular Weight)/(Temperature*Change in Volume)
Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)

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