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Standard XII

Physics

Normal Reaction

The percentag...

Question

The percentage of "fayalite" in an "OLIVINE" with density $3.88$ g cm $^{- 3}$ is:

75 %

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59 %

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35 %

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29 %

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Solution

The correct option is B $59 %$
The percentage of "fayalite" in an "OLIVINE" be $x$ . The percentage of forsterite will be $100 - x$

The density of "OLIVINE", "fayalite" and forsterite are $3.88$ g/ml, $4.34$ g/mol and $3.21$ g/ml respectively :
$100 \times 3.88 = 4.34 x + 3.21 (100 - x)$
$388 = 4.34 x + 321 - 3.21 x$
$67 = 1.13 x$
$x = 59$ %

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The percentage of "fayalite" in an "OLIVINE" with density 3.88 g cm−3 is:

The correct option is B 59%The percentage of "fayalite" in an "OLIVINE" be x. The percentage of forsterite will be 100−xThe density of "OLIVINE", "fayalite" and forsterite are 3.88 g/ml, 4.34 g/mol and 3.21 g/ml respectively :100×3.88=4.34x+3.21(100−x)388=4.34x+321−3.21x67=1.13xx=59%

The percentage of "fayalite" in an "OLIVINE" with density $3.88$ g cm $^{- 3}$ is: