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Question

Two miscible fluids of densities 1.2 gm/cm3 and 1.4 gm/cm3 are mixed with a proportion of their volumes equal to 3: 5. Assuming both fluids to be perfectly miscible, what is the density of resulting liquid?



A

0.325 gm/cm3

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B

1.325 gm/cm3

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C

1.3 gm/cm3

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D

2.425 gm/cm3

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Solution

The correct option is B

1.325 gm/cm3


Given : Density of liquid 1 = ρ= 1.2 gm/cm3
             Density of liquid 2 = ρ= 1.4 gm/cm3
Let's say that the first liquid has a volume = 3v and second liquid has a volume = 5v

From above we can say that

Liquid 1 has mass = ρ1×3v and liquid 2 has mass = ρ1×5v in the mixture.
From definition,

⇒So, density of resulting mixture = (1.2×3)+(1.4×5)8

                                                      = 1.325gm/cm3


Physics

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