## Temperature for Transitions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)* [R])
T = -LH/((ln(P)-c)* [R])
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
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.
Integration Constant - The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
STEP 1: Convert Input(s) to Base Unit
Latent Heat: 1000 Joule --> 1000 Joule No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Integration Constant: 45 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = -LH/((ln(P)-c)* [R]) --> -1000/((ln(800)-45)* [R])
Evaluating ... ...
T = 3.13900916748835
STEP 3: Convert Result to Output's Unit
3.13900916748835 Kelvin --> No Conversion Required
3.13900916748835 3.139009 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)
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## Credits

Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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## < 20 Clausius-Clapeyron Equation Calculators

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation
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
Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
Initial Pressure using Integrated Form of Clausius-Clapeyron Equation
Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
Final Pressure using Integrated Form of Clausius-Clapeyron Equation
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
Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))
Initial Temperature using Integrated Form of Clausius-Clapeyron Equation
Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature))
Change in Pressure using Clausius Equation
Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)
Temperature in Evaporation of Water near Standard Temperature and Pressure
Temperature = sqrt((Specific Latent Heat*Saturation Vapor Pressure)/(Slope of Co-existence Curve of Water Vapor*[R]))
Ratio of Vapour Pressure using Integrated Form of Clausius-Clapeyron Equation
Ratio of Vapor Pressure = exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])
Specific Latent Heat of Evaporation of Water near Standard Temperature and Pressure
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
Saturation Vapor Pressure = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Specific Latent Heat
Temperature for Transitions
Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)* [R])
Pressure for Transitions between Gas and Condensed Phase
Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant
August Roche Magnus Formula
Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))
Entropy of Vaporization using Trouton's Rule
Entropy = (4.5*[R])+([R]*ln(Temperature))
Boiling Point using Trouton's Rule given Specific Latent Heat
Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])
Specific Latent Heat using Trouton's Rule
Specific Latent Heat = (Boiling Point*10.5*[R])/Molecular Weight
Boiling Point using Trouton's Rule given Latent Heat
Boiling Point = Latent Heat/(10.5*[R])
Boiling Point given Enthalpy using Trouton's Rule
Boiling Point = Enthalpy/(10.5*[R])
Enthalpy of Vaporization using Trouton's Rule
Enthalpy = Boiling Point*10.5*[R]

## Temperature for Transitions Formula

Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)* [R])
T = -LH/((ln(P)-c)* [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 Temperature for Transitions?

Temperature for Transitions calculator uses Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)* [R]) to calculate the Temperature, The Temperature for Transitions is the pressure at which the transitions between a gas and a condensed phase takes place. Temperature is denoted by T symbol.

How to calculate Temperature for Transitions using this online calculator? To use this online calculator for Temperature for Transitions, enter Latent Heat (LH), Pressure (P) & Integration Constant (c) and hit the calculate button. Here is how the Temperature for Transitions calculation can be explained with given input values -> 3.139009 = -1000/((ln(800)-45)* [R]).

### FAQ

What is Temperature for Transitions?
The Temperature for Transitions is the pressure at which the transitions between a gas and a condensed phase takes place and is represented as T = -LH/((ln(P)-c)* [R]) or Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)* [R]). Latent Heat is the heat that increases the specific humidity without a change in temperature, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
How to calculate Temperature for Transitions?
The Temperature for Transitions is the pressure at which the transitions between a gas and a condensed phase takes place is calculated using Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)* [R]). To calculate Temperature for Transitions, you need Latent Heat (LH), Pressure (P) & Integration Constant (c). With our tool, you need to enter the respective value for Latent Heat, Pressure & Integration Constant 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 Temperature?
In this formula, Temperature uses Latent Heat, Pressure & Integration Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Temperature = sqrt((Specific Latent Heat*Saturation Vapor Pressure)/(Slope of Co-existence Curve of Water Vapor*[R]))
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