Five moles of gas are confined in a piston-cylinder device (Figure 6-5). At the beginning of the process, the gas has T = 300 K and V = 100 L. If the gas is compressed isothermally to a final volume of 15 L, how much work is required, and how much heat is added or removed? Assume the heat capacity is constant at C_V = 30 J/mol · K and that the gas is modeled by the van der Waals equation of state

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RT V-b with a = 1.40 L²bar/mol² and b = 0.038 L/mol. V₁ = = 100 L T₁ = 300 K P a V² Isothermal compression = 15 L T₂ = 300 K FIGURE 6-5 Compression of gas in a piston-cylinder device, modeled in Example 6-5.