Change in Pressure using Clausius Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)
dP = (∆T*ΔHv)/((Vm-v)*Tabs)
This formula uses 6 Variables
Variables Used
Change in Pressure - (Measured in Pascal) - Change in Pressure is defined as the difference between final pressure and initial pressure. In differential form it is represented as dP.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
Molal Heat of Vaporization - (Measured in Joule Per Mole) - Molal Heat of Vaporization is the energy needed to vaporize one mole of a liquid.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.
Molal Liquid Volume - (Measured in Cubic Meter) - Molal Liquid Volume is the volume of liquid substance.
Absolute Temperature - Absolute temperature is temperature measured using the Kelvin scale where zero is absolute zero.
STEP 1: Convert Input(s) to Base Unit
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required
Molal Heat of Vaporization: 10 KiloJoule Per Mole --> 10000 Joule Per Mole (Check conversion here)
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Molal Liquid Volume: 5 Cubic Meter --> 5 Cubic Meter No Conversion Required
Absolute Temperature: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dP = (∆T*ΔHv)/((Vm-v)*Tabs) --> (50*10000)/((22.4-5)*0.5)
Evaluating ... ...
dP = 57471.2643678161
STEP 3: Convert Result to Output's Unit
57471.2643678161 Pascal --> No Conversion Required
FINAL ANSWER
57471.2643678161 Pascal <-- Change in Pressure
(Calculation completed in 00.015 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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Change in Pressure using Clausius Equation Formula

Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)
dP = (∆T*ΔHv)/((Vm-v)*Tabs)

What is Clausius- Clapeyron Equation ?

The rate of increase in vapor pressure per unit increase in temperature is given by the Clausius-Clapeyron equation. More generally the Clausius-Clapeyron equation pertains to the relationship between the pressure and temperature for conditions of equilibrium between two phases. The two phases could be vapor and solid for sublimation or solid and liquid for melting.

How to Calculate Change in Pressure using Clausius Equation?

Change in Pressure using Clausius Equation calculator uses Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature) to calculate the Change in Pressure, The Change in Pressure using Clausius Equation is defined as the rate of increase in vapor pressure per unit increase in temperature. Change in Pressure is denoted by dP symbol.

How to calculate Change in Pressure using Clausius Equation using this online calculator? To use this online calculator for Change in Pressure using Clausius Equation, enter Change in Temperature (∆T), Molal Heat of Vaporization (ΔHv), Molar Volume (Vm), Molal Liquid Volume (v) & Absolute Temperature (Tabs) and hit the calculate button. Here is how the Change in Pressure using Clausius Equation calculation can be explained with given input values -> 57471.26 = (50*10000)/((22.4-5)*0.5).

FAQ

What is Change in Pressure using Clausius Equation?
The Change in Pressure using Clausius Equation is defined as the rate of increase in vapor pressure per unit increase in temperature and is represented as dP = (∆T*ΔHv)/((Vm-v)*Tabs) or Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature). The Change in Temperature is the difference between the initial and final temperature, Molal Heat of Vaporization is the energy needed to vaporize one mole of a liquid, Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure, Molal Liquid Volume is the volume of liquid substance & Absolute temperature is temperature measured using the Kelvin scale where zero is absolute zero.
How to calculate Change in Pressure using Clausius Equation?
The Change in Pressure using Clausius Equation is defined as the rate of increase in vapor pressure per unit increase in temperature is calculated using Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature). To calculate Change in Pressure using Clausius Equation, you need Change in Temperature (∆T), Molal Heat of Vaporization (ΔHv), Molar Volume (Vm), Molal Liquid Volume (v) & Absolute Temperature (Tabs). With our tool, you need to enter the respective value for Change in Temperature, Molal Heat of Vaporization, Molar Volume, Molal Liquid Volume & Absolute Temperature 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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