Slope of Coexistence Curve using Latent Heat Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume)
dPbydT = LH/(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.
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.
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
Latent Heat: 25020.7 Joule --> 25020.7 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 = LH/(T*∆V) --> 25020.7/(85*56)
Evaluating ... ...
dPbydT = 5.25644957983193
STEP 3: Convert Result to Output's Unit
5.25644957983193 Pascal per Kelvin --> No Conversion Required
FINAL ANSWER
5.25644957983193 5.25645 Pascal per Kelvin <-- Slope of Coexistence Curve
(Calculation completed in 00.004 seconds)

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Slope of Coexistence Curve using Entropy
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Slope of Coexistence Curve using Latent Heat Formula

​LaTeX ​Go
Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume)
dPbydT = LH/(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 Latent Heat?

Slope of Coexistence Curve using Latent Heat calculator uses Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume) to calculate the Slope of Coexistence Curve, The Slope of Coexistence Curve using 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 using Latent Heat using this online calculator? To use this online calculator for Slope of Coexistence Curve using Latent Heat, enter Latent Heat (LH), Temperature (T) & Change in Volume (∆V) and hit the calculate button. Here is how the Slope of Coexistence Curve using Latent Heat calculation can be explained with given input values -> 5.25645 = 25020.7/(85*56).

FAQ

What is Slope of Coexistence Curve using Latent Heat?
The Slope of Coexistence Curve using 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 = LH/(T*∆V) or Slope of Coexistence Curve = Latent Heat/(Temperature*Change in Volume). 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 & The Change in volume is difference of initial and final volume.
How to calculate Slope of Coexistence Curve using Latent Heat?
The Slope of Coexistence Curve using 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 = Latent Heat/(Temperature*Change in Volume). To calculate Slope of Coexistence Curve using Latent Heat, you need Latent Heat (LH), Temperature (T) & Change in Volume (∆V). With our tool, you need to enter the respective value for Latent Heat, 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 Latent Heat, Temperature & 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 = Change in Entropy/Change in Volume
  • Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
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