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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Slope of Coexistence Curve Calculators

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Slope of Coexistence Curve using Enthalpy
​ LaTeX ​ Go Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
Slope of Coexistence Curve using Latent Heat
​ LaTeX ​ Go Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume)
Slope of Coexistence Curve using Entropy
​ LaTeX ​ Go Slope of Coexistence Curve = Change in Entropy/Change in Volume

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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])
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Boiling Point given Enthalpy using Trouton's Rule
​ LaTeX ​ Go Boiling Point = Enthalpy/(10.5*[R])

Slope of Coexistence Curve using Entropy Formula

​LaTeX ​Go
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 3 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])
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