P4.41 The lactic acid byproduct recovered from cheese plants can be used to make a variety of chemicals. For example, it may be hydrogenated to pro- duce 1,2-propanediol, which is in turn used as a polymer precursor and as a food additive: CH,CHOHCOOH + 2H, 2 CH,CHOHCH,OH + H,O The process feed is a vapor stream containg 1:3:2 lactic acid:H,:inert (mole ratios), at a total pressure of 5 atm and a flow rate of 300 mol/h. The reaction is reversible, with an equilibrium constant K, = 3.2 atm at the reactor temperature. What is the fractional conversion of the lim- iting reactant at equilibrium, and the reactor outlet composition? Will increasing the inert concentration in the feed increase or decrease the equilibrium fractional conversion? First give your answer by using qual- itative reasoning, then calculate the conversion at a higher inert concen- tration and see if your reasoning was right. Would changing the reactor pressure change the conversion? Prove your results by calculating the effect of an increase in pressure by 2 atm,

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P4.41 The lactic acid byproduct recovered from cheese plants can be used to
make a variety of chemicals. For example, it may be hydrogenated to pro-
duce 1,2-propanediol, which is in turn used as a polymer precursor and
as a food additive:
CH-CНОНСООН + 2H, 2 СH,СНОНСН,ОН + Н.О
The process feed is a vapor stream containg 1:3:2 lactic acid:H,:inert
(mole ratios), at a total pressure of 5 atm and a flow rate of 300 mol/h.
The reaction is reversible, with an equilibrium constant K, 3.2 atm-
at the reactor temperature. What is the fractional conversion of the lim-
iting reactant at equilibrium, and the reactor outlet composition? Will
increasing the inert concentration in the feed increase or decrease the
equilibrium fractional conversion? First give your answer by using qual-
itative reasoning, then calculate the conversion at a higher inert concen-
tration and see if your reasoning was right. Would changing the reactor
pressure change the conversion? Prove your results by calculating the
effect of an increase in pressure by 2 atm.
Transcribed Image Text:P4.41 The lactic acid byproduct recovered from cheese plants can be used to make a variety of chemicals. For example, it may be hydrogenated to pro- duce 1,2-propanediol, which is in turn used as a polymer precursor and as a food additive: CH-CНОНСООН + 2H, 2 СH,СНОНСН,ОН + Н.О The process feed is a vapor stream containg 1:3:2 lactic acid:H,:inert (mole ratios), at a total pressure of 5 atm and a flow rate of 300 mol/h. The reaction is reversible, with an equilibrium constant K, 3.2 atm- at the reactor temperature. What is the fractional conversion of the lim- iting reactant at equilibrium, and the reactor outlet composition? Will increasing the inert concentration in the feed increase or decrease the equilibrium fractional conversion? First give your answer by using qual- itative reasoning, then calculate the conversion at a higher inert concen- tration and see if your reasoning was right. Would changing the reactor pressure change the conversion? Prove your results by calculating the effect of an increase in pressure by 2 atm.
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