Calculate the mixture fugacity coefficient for both components of a n-butane (1) + propane (2) mixture at

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Calculate the mixture fugacity coefficient for both components of a n-butane (1) + propane (2) mixture at 50°C using the virial equation. Provide the result at five compositions:

A. x₁ = 0

B. x₁ = 0.25

C. x₁ = 0.5

D. x₁ = 0.75

E. x₁ = 1.0

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The virial equation of state is a nonideal gas equation that accounts for intermolecular interactions between gas molecules It is expressed as Z PVnRT 1 BV CV2 where Z is the compressibility factor P is the pressure V is the molar volume n is the number of moles of gas R is the ideal gas constant T is the temperature B C are the virial coefficients The fugacity coefficient is a measure of how much a real gas deviates from ideal behavior It is defined as the ratio of the fugacity f to the ideal gas pressure P fP where f is the fugacity of the gas P is the ideal gas pressure at the same temperature and volume The fugacity coefficient can be calculated using the virial equation as follows ln BV 12CV2 For a mixture of nbutane 1 and propane 2 the fugacity coefficient of each component can be calculated using the following equations ln1 x1B1V x2B2V x1x2B12 B1B2V2 ln2 x2B1V x1B2V x1x2B21 B1B2V2 where x1 and x2 are the mole fractions of nbutane and propane respectively B11 B12 B22 are the virial coefficients for nbutane the interaction ...View the full answer

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