Please help me with this if you know how to solve it. It's Che 301 class. The final answer should contain only {Z, A, B} where Z=PV/RT, the compressibility factor for ideal gas. A=27Pr/64Tr^2 and B= 1Pr/8Tr

where Pr is reduce pressure and Tr is reduce temperature. I will definitely rate your work. But please do not solve it if your answer doesn't contain only Z, A, B. Thank you.

Problem 1: Derivations with the van der Waals Equation of State Evaluate the following derivative for a gas that follows the van der Waals Equation of State. 1 aula RaT ] You final answer should contain only {Z, A,B} Let's introduce two constants A, B as follows A= ap 27 (RTC)? P A=27 Pr = - (Eq:7). (RT)? 64 Po (RT) 64 Tz where Pr = Reduced Pressure Pr=P/PC Tr - Reduced Temperature Tr = T/TC 1 RTC P > B = 1 Pr B = B (E9,8) RT 8 PORT 8 Tr We now observe that b b. PRT GP RT VRTP RT PV V and a P RT ap RT a A VRT VRT RT P. (RT)2 V VRT Z The van der Waals equchon can be watten as follows Pta- RT PV al V. (Eq. 44 V-b RT VRT v-b l-b Vb b - b.BCE,.1) a U (Eq. 10) - + V2 slot