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Slope of Coexistence Curve given Pressure and Latent Heat Calculator

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

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

< 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])

Slope of Coexistence Curve given Pressure and Latent Heat Formula

LaTeX Go

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

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