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Slope of Coexistence Curve using Enthalpy Calculator

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Slope of Coexistence Curve Latent Heat

✖The Enthalpy Change is the difference between the final and initial enthalpy.ⓘ Enthalpy Change [ΔH']			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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 Enthalpy [dPbydT]

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Formula

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Slope of Coexistence Curve using Enthalpy

Formula

dPbydT = \frac{ΔH'}{T \cdot ∆V}

Example

17 Pa/K = \frac{80920 J}{85 K \cdot 56 m³}

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Slope of Coexistence Curve using Enthalpy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
dPbydT = ΔH'/(T*∆V)
This formula uses 4 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.
Enthalpy Change - (Measured in Joule) - The Enthalpy Change is the difference between the final and initial enthalpy.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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

Enthalpy Change: 80920 Joule --> 80920 Joule No Conversion Required
Temperature: 85 Kelvin --> 85 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 = ΔH'/(T*∆V) --> 80920/(85*56)

Evaluating ... ...

dPbydT = 17

STEP 3: Convert Result to Output's Unit

17 Pascal per Kelvin --> No Conversion Required

FINAL ANSWER

17 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

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

Slope of Coexistence Curve using Latent Heat

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Slope of Coexistence Curve using Entropy

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

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August Roche Magnus Formula

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Boiling Point using Trouton's Rule given Specific Latent Heat

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

Boiling Point using Trouton's Rule given Latent Heat

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

Boiling Point given Enthalpy using Trouton's Rule

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

Slope of Coexistence Curve using Enthalpy Formula

Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
dPbydT = ΔH'/(T*∆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 Enthalpy?

Slope of Coexistence Curve using Enthalpy calculator uses Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume) to calculate the Slope of Coexistence Curve, The Slope of coexistence curve using enthalpy with respect to 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 Enthalpy using this online calculator? To use this online calculator for Slope of Coexistence Curve using Enthalpy, enter Enthalpy Change (ΔH'), Temperature (T) & Change in Volume (∆V) and hit the calculate button. Here is how the Slope of Coexistence Curve using Enthalpy calculation can be explained with given input values -> 0.205882 = 80920/(85*56).

FAQ

What is Slope of Coexistence Curve using Enthalpy?

The Slope of coexistence curve using enthalpy with respect to 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 = ΔH'/(T*∆V) or Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume). The Enthalpy Change is the difference between the final and initial enthalpy, Temperature is the degree or intensity of heat present in a substance or object & The Change in volume is difference of initial and final volume.

How to calculate Slope of Coexistence Curve using Enthalpy?

The Slope of coexistence curve using enthalpy with respect to 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 = Enthalpy Change/(Temperature*Change in Volume). To calculate Slope of Coexistence Curve using Enthalpy, you need Enthalpy Change (ΔH'), Temperature (T) & Change in Volume (∆V). With our tool, you need to enter the respective value for Enthalpy Change, Temperature & 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 Enthalpy Change, Temperature & Change in Volume. We can use 3 other way(s) to calculate the same, which is/are as follows -

Slope of Coexistence Curve = Change in Entropy/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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