Dexter is coming up with a chemical complex using 3 different soluble substances

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Question

Dexter is coming up with a chemical complex using 3 different soluble substances in the volume ratio 3:4:7. The densities of these substances are in the ratio 5:2:6 respectively. The mass of the

2^{n d}

substance contained in 130 litres of the complex is ___

Answer:
:

D e n s i t y = \frac{M a s s}{V o l u m e}

Individual volume ratio = volume of component
Total volume
Ratio of volumes

= \frac{3}{14} : \frac{4}{14} : \frac{7}{14}

Ratio of densitites

= \frac{5}{13} : \frac{2}{13} : \frac{6}{13}

Ratio of masses

= \frac{3}{14} \times \frac{5}{13} : \frac{4}{14} \times \frac{2}{13} : \frac{7}{14} \times \frac{6}{13} = 15 : 8 : 42

. mass in

2^{n d}

substance

= \frac{8}{65} \times 130 = 16

litres.

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