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18 Nov 2019
2. Fugacity for a van-der-Waals gas Let's get a feel for how much fugacity deviates from pressure for a real gas. a.) We begin by showing that the compressibility factor, Z, for a van-der-Waals gas, can be approximated by Write down Z from the van- RT RT der-Waals law as a sum of two terms, one of them being (1-b nn). Since b/Wt ã 1, expand this term as a McLaurin series. Then, ignore terms of second order in (1/Vm), and approximate Vm with the ideal gas law (4 credits) b.) Use the result for Z from part (a) to determine the fugacity of nitrogen at 50 bar and 298 K, assuming that you can assume it to be a van-der-Waals gas. The van-der- Waals coefficients of N2 are a-1.408 L2. bar. moja and b = 0.03913 L. mol-l (4 credits)
2. Fugacity for a van-der-Waals gas Let's get a feel for how much fugacity deviates from pressure for a real gas. a.) We begin by showing that the compressibility factor, Z, for a van-der-Waals gas, can be approximated by Write down Z from the van- RT RT der-Waals law as a sum of two terms, one of them being (1-b nn). Since b/Wt ã 1, expand this term as a McLaurin series. Then, ignore terms of second order in (1/Vm), and approximate Vm with the ideal gas law (4 credits) b.) Use the result for Z from part (a) to determine the fugacity of nitrogen at 50 bar and 298 K, assuming that you can assume it to be a van-der-Waals gas. The van-der- Waals coefficients of N2 are a-1.408 L2. bar. moja and b = 0.03913 L. mol-l (4 credits)
Sixta KovacekLv2
14 Oct 2019