Critical Temperature of Real Gas given Clausius Parameter b Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Temperature For Clausius Model = (Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R])
T'c = (Vc-b')*((4*P'c)/[R])
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Critical Temperature For Clausius Model - (Measured in Kelvin) - Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.
Critical Volume - (Measured in Cubic Meter) - The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure.
Clausius Parameter b for Real Gas - Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Critical Pressure of Real Gas - (Measured in Pascal) - Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.
STEP 1: Convert Input(s) to Base Unit
Critical Volume: 10 Liter --> 0.01 Cubic Meter (Check conversion here)
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T'c = (Vc-b')*((4*P'c)/[R]) --> (0.01-0.00243)*((4*4600000)/[R])
Evaluating ... ...
T'c = 16752.4957891912
STEP 3: Convert Result to Output's Unit
16752.4957891912 Kelvin --> No Conversion Required
FINAL ANSWER
16752.4957891912 16752.5 Kelvin <-- Critical Temperature For Clausius Model
(Calculation completed in 00.004 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has verified this Calculator and 500+ more calculators!

10+ Critical Temperature Calculators

Critical Temperature of Real Gas using Clausius Equation given Reduced and Critical Parameters
Go Critical Temperature For Clausius Model = (((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/((((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters
Go Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas
Critical Temperature of Real Gas using Clausius Equation given Reduced and Actual Parameters
Go Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
Critical Temperature given Clausius Parameter b, Reduced and Actual Parameters
Go Critical Temperature For Clausius Model = ((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)*((4*(Pressure/Reduced Pressure))/[R])
Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters
Go Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R])
Critical Temperature of Real Gas given Clausius Parameter b
Go Critical Temperature For Clausius Model = (Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R])
Critical Temperature of Real Gas given Clausius Parameter c
Go Critical Temperature For Clausius Model = ((Clausius Parameter c+Critical Volume)*8*Critical Pressure of Real Gas)/(3*[R])
Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters
Go Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3)
Critical Temperature of Real Gas given Clausius Parameter a
Go Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3)
Critical Temperature of Real Gas using Actual and Reduced Temperature
Go Critical Temperature For Clausius Model = Temperature of Real Gas/Reduced Temperature

Critical Temperature of Real Gas given Clausius Parameter b Formula

Critical Temperature For Clausius Model = (Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R])
T'c = (Vc-b')*((4*P'c)/[R])

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Critical Temperature of Real Gas given Clausius Parameter b?

Critical Temperature of Real Gas given Clausius Parameter b calculator uses Critical Temperature For Clausius Model = (Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R]) to calculate the Critical Temperature For Clausius Model, The Critical Temperature of real gas given Clausius parameter b formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature For Clausius Model is denoted by T'c symbol.

How to calculate Critical Temperature of Real Gas given Clausius Parameter b using this online calculator? To use this online calculator for Critical Temperature of Real Gas given Clausius Parameter b, enter Critical Volume (Vc), Clausius Parameter b for Real Gas (b') & Critical Pressure of Real Gas (P'c) and hit the calculate button. Here is how the Critical Temperature of Real Gas given Clausius Parameter b calculation can be explained with given input values -> 16752.5 = (0.01-0.00243)*((4*4600000)/[R]).

FAQ

What is Critical Temperature of Real Gas given Clausius Parameter b?
The Critical Temperature of real gas given Clausius parameter b formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T'c = (Vc-b')*((4*P'c)/[R]) or Critical Temperature For Clausius Model = (Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R]). The Critical Volume is the volume occupied by the unit mass of gas at critical temperature and pressure, Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Critical Temperature of Real Gas given Clausius Parameter b?
The Critical Temperature of real gas given Clausius parameter b formula is defined as the highest temperature at which the substance can exist as a liquid is calculated using Critical Temperature For Clausius Model = (Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R]). To calculate Critical Temperature of Real Gas given Clausius Parameter b, you need Critical Volume (Vc), Clausius Parameter b for Real Gas (b') & Critical Pressure of Real Gas (P'c). With our tool, you need to enter the respective value for Critical Volume, Clausius Parameter b for Real Gas & Critical Pressure of Real Gas 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 Critical Temperature For Clausius Model?
In this formula, Critical Temperature For Clausius Model uses Critical Volume, Clausius Parameter b for Real Gas & Critical Pressure of Real Gas. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas
  • Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
  • Critical Temperature For Clausius Model = (((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/((((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
  • Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3)
  • Critical Temperature For Clausius Model = ((Clausius Parameter c+Critical Volume)*8*Critical Pressure of Real Gas)/(3*[R])
  • Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3)
  • Critical Temperature For Clausius Model = ((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)*((4*(Pressure/Reduced Pressure))/[R])
  • Critical Temperature For Clausius Model = Temperature of Real Gas/Reduced Temperature
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!