The value of n D 20 for a mixture can be approximatedas the weighted average of

Question

The value of nD20 for a mixture can be approximatedas the weighted average of the refractive indices ofthe individual components. For a heptane/alpha-pinene mixture nD20 (mixture)=VheptanenD20 (heptane) + VpinenenD20 (pinene) ,where V's stand for volumefractions (for instance, 2mL heptane mixed with 2 mL alpha-pinenegives V = 0.5 for each) Predict nD20 for amixture of 2 mL heptane and 2 mL alpha-pinene in this way. The value of nD20 for a mixture can be approximatedas the weighted average of the refractive indices ofthe individual components. For a heptane/alpha-pinene mixture nD20 (mixture)=VheptanenD20 (heptane) + VpinenenD20 (pinene) ,where V's stand for volumefractions (for instance, 2mL heptane mixed with 2 mL alpha-pinenegives V = 0.5 for each) Predict nD20 for amixture of 2 mL heptane and 2 mL alpha-pinene in this way.

Explanation / Answer

refractive index ofalpha-pinene , nD20 (heptane =1.463 refractive indexof heptane , nD20 (pinene)=1.385 Volume fraction of heptane , Vheptane = 0.5mL Volume fraction of pinene,Vpinene  = 0.5 mL nD20 (mixture)=VheptanenD20 (heptane) + VpinenenD20 (pinene)                      = 1.385 * 2 + 1.463 * 2                      =5.696 Modified : ---------- Calculation , nD20 (mixture)=VheptanenD20 (heptane) + VpinenenD20 (pinene)                      = 1.385 * 0.5 + 1.463 * 0.5                      = 1.424 Modified : ---------- Calculation , nD20 (mixture)=VheptanenD20 (heptane) + VpinenenD20 (pinene)                      = 1.385 * 0.5 + 1.463 * 0.5                      = 1.424 nD20 (mixture)=VheptanenD20 (heptane) + VpinenenD20 (pinene)                      = 1.385 * 0.5 + 1.463 * 0.5                      = 1.424

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