Poynting Correction Factor 65593p

Poynting correction factor for pure liquid fugacity:

𝑃

𝑃𝑜𝑦𝑛𝑡𝑖𝑛𝑔 𝑐𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛 𝑓𝑎𝑐𝑡𝑜𝑟 = 𝑒𝑥𝑝 ( ∫ 𝑃𝑠𝑎𝑡

𝑉𝑚𝑙 ) 𝑅𝑇

In general for liquids, PCF ≈ 1.0 , when the system pressure (P) is less than 100 bar (as mentioned in Koretsky) OR PCF ≈ 1.0 , when the system pressure (P) is less than 50 bar (as mentioned in lecture) You can either consider the rule as 50 bar or 100 bar, it doesn’t make a significant difference. Consider the example below: Recitation 12 – Problem 1: T= 333 K Psat = 20.56 ρ = 580 kg/m3 M.W. = 44.01 g/mol 𝑉𝑚𝑙 =

44.01∗0.001 580

= 7.588 × 10−5 𝑚3 /𝑚𝑜𝑙

𝑃

𝑃𝑜𝑦𝑛𝑡𝑖𝑛𝑔 𝑐𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛 𝑓𝑎𝑐𝑡𝑜𝑟 = 𝑒𝑥𝑝 ( ∫ 𝑃𝑠𝑎𝑡

𝑉𝑚𝑙 ) 𝑅𝑇

𝑉𝑚𝑙 𝑃𝑜𝑦𝑛𝑡𝑖𝑛𝑔 𝑐𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛 𝑓𝑎𝑐𝑡𝑜𝑟 = 𝑒𝑥𝑝 ( (𝑃 − 𝑃 𝑠𝑎𝑡 )) 𝑅𝑇 𝐹𝑜𝑟 𝑃 = 100 𝑏𝑎𝑟,

𝑃𝑜𝑦𝑛𝑡𝑖𝑛𝑔 𝑐𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛 𝑓𝑎𝑐𝑡𝑜𝑟 = 1.000002

𝐹𝑜𝑟 𝑃 = 50 𝑏𝑎𝑟,

𝑃𝑜𝑦𝑛𝑡𝑖𝑛𝑔 𝑐𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛 𝑓𝑎𝑐𝑡𝑜𝑟 = 1.000001