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Temperature for Transitions Calculator

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Slope of Coexistence Curve Latent Heat

✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat [LH]			+10% -10%
✖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%
✖The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.ⓘ Integration Constant [c]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature for Transitions [T]

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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

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., 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: 25020.7 Joule --> 25020.7 Joule No Conversion Required
Pressure: 41 Pascal --> 41 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]) --> -25020.7/((ln(41)-45)*[R])

Evaluating ... ...

T = 72.8883234626038

STEP 3: Convert Result to Output's Unit

72.8883234626038 Kelvin --> No Conversion Required

FINAL ANSWER

72.8883234626038 ≈ 72.88832 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< Clausius Clapeyron Equation Calculators

Final Temperature using Integrated Form of Clausius-Clapeyron Equation

LaTeX Go Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))

Temperature for Transitions

LaTeX Go Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)*[R])

Pressure for Transitions between Gas and Condensed Phase

LaTeX Go Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant

August Roche Magnus Formula

LaTeX Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

Temperature for Transitions Formula

LaTeX Go

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 -> 72.88832 = -25020.7/((ln(41)-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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