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What is the percent composition of a mix...

What is the percent composition of a mixture of `(S)-(+)-2-` butanol, `[+-](25)/(D)=+13.52^(0)`, and `(R)-(-)-2-` butanol, `[+-](25)/(D)=-13.52^(0)`, with a specific rotation `[+-](25)/(D)=+6.76^(0)`?

A

75%(R) 25%(S)

B

25%(R) 75%(S)

C

50%(R) 50%(S)

D

67%(R) 33%(S)

Text Solution

Verified by Experts

The correct Answer is:
A
`75%(R)25%(S)`
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D(+) Glucose has melting point 140^(@)C and specific rotation [a]_(D)^(25) is 112^(@)C . Another D(+) Glucose has melting point 150^(@)C and specific rotation [a]_(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 [alpha]_(D)^(25) = +18.7^(@)C " " [alpha]_(D)^(25) = +112^(@)C What percentage of beta-D-(+) glucopyranose found at equilibrium in the aqueous solution?

Knowledge Check

  • The equation to the common tangent to the hyperbolas (x^(2))/(25)-y^(2)/(9)=1 and (x^(2))/(9)-y^(2)/(25)+1=0 is

    A
    `y=pm x pm sqrt(34)`
    B
    `y= pm x pm 5`
    C
    `y=pm x +3`
    D
    `y=pm x pm 4`

  • If the distance between the points (a cos 48^(@) , 0 ) and (0, a cos 12^(@)) is d then d^(2) - a^(2) =

    A
    `a^(2) (sqrt(5) - 1)//4 `
    B
    `a^(2) (sqrt(5) + 1)//4 `
    C
    `a (sqrt(5) - 1)//8 `
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