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Pure (R) Mandelic acid has specific rot...

Pure (R) Mandelic acid has specific rotation of 150. If a sample contains 60% of the R and 40% of its enantiomer, the `[alpha]` of his solution is.

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D (+) Glucose has melting point 146^@ C and specific rotation [alpha]_(D)^(25) is + 112^@ C. Another D(+) Glucose has melting point 150^@ C and specific rotational [alpha]_(D)^(25) is + 18.7^@ C. The two form have significantly different optical rotation but when an aqueous solution of either form is allowed to stand, it rotation changes. The specific rotation of one form decreases and rotation of other increases until both solution show the same value +52.7^@ . The change in rotation towards an equilibrium value is called mutarotation. Mutarotation is characteristic feature of:

D (+) Glucose has melting point 146^@ C and specific rotation [alpha]_(D)^(25) is + 112^@ C. Another D(+) Glucose has melting point 150^@ C and specific rotational [alpha]_(D)^(25) is + 18.7^@ C. The two form have significantly different optical rotation but when an aqueous solution of either form is allowed to stand, it rotation changes. The specific rotation of one form decreases and rotation of other increases until both solution show the same value +52.7^@ . The change in rotation towards an equilibrium value is called mutarotation. For mannose the mutarotation can be shown in brief as follow:

Let (+) tartaric acid has a specific rotation of +11.1 , Calculate the specific rotation of a mixture of 68%(+) tartaric acid and 32%(-) tartaric acid.

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Compound which rotates the plane polarised light is known as optically active compound . On the basis of direction of rotation two forms of an optically active compounds are termed as dextro and laevo rotatory . The two are termed as enantiomers . If we have a 1 : 1 mixture of d and l isomers of a given chiral compound , optical rotation of such mixture is zero Such a mixture is optically inactive and is called a recemic modification. The net specific rotation of any mixture of the d and isomers of a given chiral compound is equal to the weighted average of the rotations due to both the isomers Mathematically if can be expressed as : [alpha]_(net) =f_(d) [alpha_(d)] + f_(1) [alpha_(l)] Where f_(a) and f_(l) are fractions of d and l isomers respectively and [alpha_(d)] , [alpha_(l)] are their specific rotations The pure d isomer of certain chiral compound has [alpha]_(d)^(25) =+ 55^(@) .A non racemic mixture of this compound has a net [alpha]_(d)^(25) =- 11^(@) . What is the fractions of this isomer in mixture ?