Answer to Question #182550 in Chemical Engineering for ScienceSt

Question

Use the Peng-Robinson equation of state to calculate the binary interaction coefficient (k12) of a {2 + (X × 0.5)} 

m3

vessel that contains {30 + (0.15 × Y)} kg of propane mixed with {50 + (Z × 0.3)} kg of n-butane at 30 bar and 

450 K.

𝑃 =

𝑅𝑇

𝑉 − 𝑏𝑚𝑖𝑥

−

𝑎𝑚𝑖𝑥

𝑉2 + 2𝑏𝑚𝑖𝑥𝑉 − 𝑏𝑚𝑖𝑥

2

𝑓𝑜𝑟 𝑒𝑎𝑐ℎ 𝑝𝑢𝑟𝑒 𝑐𝑜𝑚𝑝𝑜𝑛𝑒𝑛𝑡: 𝑎 = 0.45724

𝑅

2𝑇𝑐

2

𝑃𝑐

× [1 + (0.37464 + 1.54226𝜔 − 0.26992𝜔

2

)(1 − 𝑇𝑟

0.5

)]

2

𝑎𝑚𝑖𝑥 = ∑𝑖 ∑𝑗 𝑥𝑖𝑥𝑗𝑎𝑖𝑗 𝑎𝑖𝑗 = (𝑎𝑖𝑎𝑗)

0.5

(1 − 𝑘𝑖𝑗)

𝑓𝑜𝑟 𝑒𝑎𝑐ℎ 𝑝𝑢𝑟𝑒 𝑐𝑜𝑚𝑝𝑜𝑛𝑒𝑛𝑡: 𝑏 = 0.07780 𝑅𝑇𝑐

𝑃𝑐

Answer 1

Answer to the question.