The van der Waals equation for a fluid (n moles) is an equation relating the density of gases and liquids (fluids) to the pressure (p), volume (V), and temperature (7) conditions n'a p+ (v- nb) = nRT On using v=V/n,we have where p is the pressure, v=V/n is the partial molar volume, Ris the universal gas constant, and T is the absolute temperature. The factors a and b are constants dependent on the nature of the fluid. The constant "a" measures the attractive forces between the molecules. The constant "b'is the actual volume of a mole of molecules. Consider the Carbon dioxide gas (5.00 moles) at 40.0 atmosphere pressure and 323 K temperature. Van der Waals constants (a and 6) for the carbon dioxide gas are given by: a = 3.610 L'atm mol"; b = 0.0429 L mol". Compute the partial molar volume of the given gas for these values. Given gas constant R= 0.08205746 L atm K' mol". Use bisection method with interva (0,1) and 5 iterations

The van der Waals equation for a fluid (n moles) is an equation relating the density of gases and liquids (fluids) to the pressure (p), volume (V), and temperature (7) conditions n'a p+ (v- nb) = nRT On using v=V/n,we have where p is the pressure, v=V/n is the partial molar volume, Ris the universal gas constant, and T is the absolute temperature. The factors a and b are constants dependent on the nature of the fluid. The constant "a" measures the attractive forces between the molecules. The constant "b'is the actual volume of a mole of molecules. Consider the Carbon dioxide gas (5.00 moles) at 40.0 atmosphere pressure and 323 K temperature. Van der Waals constants (a and 6) for the carbon dioxide gas are given by: a = 3.610 L'atm mol"; b = 0.0429 L mol". Compute the partial molar volume of the given gas for these values. Given gas constant R= 0.08205746 L atm K' mol". Use bisection method with interva (0,1) and 5 iterations

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The van der Waals equation for a fluid (n moles) is an equation relating the density of gases and
liquids (fluids) to the pressure (p), volume (V), and temperature (7) conditions
n'a
(v-nb)=nRT
On using v=V/n, we have
(p+ (v-0)=RT
where pis the pressure, v=V/n is the partial molar volume, Ris the universal gas constant, and
T is the absolute temperature. The factors a and b are constants dependent on the nature of
the fluid. The constant "a" measures the attractive forces between the molecules. The constant
"b'is the actual volume of a mole of molecules.
Consider the Carbon dioxide gas (5.00 moles) at 40.0 atmosphere pressure and 323 K
temperature. Van der Waals constants (a and 6) for the carbon dioxide gas are given by: a =
3.610 L'atm mol?; 6 = 0.0429 L mol". Compute the partial molar volume of the given gas for
these values. Given gas constant R = 0.08205746 L atm K' mol".
Use bisection method with interva (0,1) and 5 iterations

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