Pressure for Transitions between Gas and Condensed Phase Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant
P = exp(-LH/([R]*T))+c
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
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.
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
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Integration Constant: 45 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = exp(-LH/([R]*T))+c --> exp(-1000/([R]*85))+45
Evaluating ... ...
P = 45.2429331727177
STEP 3: Convert Result to Output's Unit
45.2429331727177 Pascal --> No Conversion Required
FINAL ANSWER
45.2429331727177 45.24293 Pascal <-- Pressure
(Calculation completed in 00.004 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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20 Clausius-Clapeyron Equation Calculators

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

Pressure for Transitions between Gas and Condensed Phase Formula

Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant
P = exp(-LH/([R]*T))+c

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 Pressure for Transitions between Gas and Condensed Phase?

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

How to calculate Pressure for Transitions between Gas and Condensed Phase using this online calculator? To use this online calculator for Pressure for Transitions between Gas and Condensed Phase, enter Latent Heat (LH), Temperature (T) & Integration Constant (c) and hit the calculate button. Here is how the Pressure for Transitions between Gas and Condensed Phase calculation can be explained with given input values -> 45.24293 = exp(-1000/([R]*85))+45.

FAQ

What is Pressure for Transitions between Gas and Condensed Phase?
The Pressure for Transitions between Gas and Condensed Phase is the pressure at which the transitions between a gas and a condensed phase takes place and is represented as P = exp(-LH/([R]*T))+c or Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant. 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 Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
How to calculate Pressure for Transitions between Gas and Condensed Phase?
The Pressure for Transitions between Gas and Condensed Phase is the pressure at which the transitions between a gas and a condensed phase takes place is calculated using Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant. To calculate Pressure for Transitions between Gas and Condensed Phase, you need Latent Heat (LH), Temperature (T) & Integration Constant (c). With our tool, you need to enter the respective value for Latent Heat, Temperature & Integration Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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