For carbon dioxide, CO₂, the value of the second virial coefficient, B, is -142 cm³ mol^-1 at 273 K. Use the truncated form of the virial equation to calculate the pressure exerted by carbon dioxide gas at this temperature if the molar volume is 250 cm³ mol^-1. A) 14.2 MPa B) 3.92 MPa C) 9.08 MPa D) 4.28 MPa

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Quizplus · Accepted Answer

The truncated virial equation is:$$P = \frac{RT}{V} + \frac{B}{V^2}$$Substituting the given values:$$P = \frac{(8.314 J mol^{-1} K^{-1})(273 K)}{250 cm^3 mol^{-1}} + \frac{(-142 cm^3 mol^{-1})}{(250 cm^3 mol^{-1})^2}$$$$P = 9.08 MPa$$

For Carbon Dioxide, CO2, the Value of the Second Virial

For Carbon Dioxide, CO₂, the Value of the Second Virial