Calculate the molar volume of ethane at 1.00 atm and 0oC and at 10.0 atm and 0oC, using the van der Waals equation. The van der Waals constants are given in Table 5.7. To simplify, The term N2a/V2 is small compared with P. Hence, it may be approximated with negligible error by substituting nRT/P from the ideal gas law for V in this term. Then the van der Waals equation can be solved for the volume. Compare the results with the values predicted by the ideal gas law.

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TABLE 5.7 van der Waals Constants for Some Gases L2-atm/mol Gas CO2 C2H C2H5OH He H2 02 SO2 H2o L/mol 0.04286 0.06499 0.08710 0.0238 0.02651 0.03186 0.05679 0.03049 3.658 5.570 12.56 0.0346 0.2453 1.382 6.865 5.537