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Question

Isopropyl alcohol C3H8, also known as rubbing alcohol, is an alcoholic mixture intended for external use as antiseptic. If the two different companies A and B are manufacturing rubbing alcohol of concentrations 47% (v/v) and 23.5% (v/v) respectively from isopropyl alcohol of density x g/mL, find the ratio of mass of isopropyl alcohol present in equal volumes of rubbing alcohol A and B.

A
1:2
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B
2:1
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C
2:3
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D
3:2
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Solution

The correct option is B 2:1
Let us take 100 mL each of rubbing alcohol A and B,
% (v/v) = volume of solutevolume of solution×100
47% (v/v) means 47 mL isopropyl alcohol is present in 100 mL of the solution.
Volume of C3H8 in the sanitizer of company A = 47 mL
Mass of isopropyl alcohol in the sanitizer of company A
= volume×density

Mass of isopropyl alcohol,
=47×x=47x g

Similarly, volume of isopropyl in the sanitizer of company B = 23.5 mL.
Mass of isopropyl alcohol in the sanitizer of company B=
23.5×x=23.5x g


So, the ratio of mass of isopropyl alcohol present in sanitizer of company A and company B
=mass of isopropyl alcohol of company Amass of isopropyl alcohol of company B = 47x23.5x = 2:1


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