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A company wishes to distill a 0.830 mole fraction ethanol (0.170 mole fraction water) solution. To aid in the distillation process, a 0.950 mole fraction benzene (0.050 mole fraction water) mixture containing fresh benzene and a recovered benzene solution is added.
The rounded value of 1.732 is correct to within 0.01% of the actual value. A close fraction is (1.732142857...). Archimedes reported (1351/780) 2 2, accurate to 1/608400 (6-places) and 2/23409 (4-places), respectively. The square root of 3 is an irrational number.It is also known as Theodorus' constant, named after Theodorus of Cyrene. It can be expressed as the continued fraction [1;â¯1,â¯2,â¯1,â¯2,â¯1,â¯2,â¯1,â¯...] (sequence A040001 in OEIS), expanded on the right. It can also be expressed by generalized continued fractions such as.he square root of 3 is an irrational number. It is also known as Theodorus' constant, named after Theodorus of Cyrene. It can be expressed as the continued fraction [1;â¯1,â¯2,â¯1,â¯2,â¯1,â¯2,â¯1,â¯...] (sequence A040001 in OEIS), expanded on the right. It can also be expressed by generalized continued fractions such as.