The theoretical minimum work required to separate one mole of a liquid mixture at 1 atm, containing 50 mole % each of n- heptane and n- octane into pure compounds each at 1 atm is__________________?
Correct answer: A. -RT ln 0.5
- A. -RT ln 0.5
- B. -2 RT ln 0.5
- C. 0.5 RT
- D. 2 RT
Explanation
The minimum reversible separation work for an ideal mixture is −RTΣxi ln xi. With two components at xi = 0.5, this becomes −RT ln 0.5, equal to RT ln 2.
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