Density of a mixture is ρ, when fluids of densities ρ 1 and ρ 2...

Sydney Shaffer

Sydney Shaffer

Answered question

2023-03-13

Density of a mixture is ρ, when fluids of densities ρ 1 and ρ 2 are mixed in the same proportion. Then:
A) ρ = ρ 1 + ρ 2 2 ;
B) ρ = 2 ρ 1 ρ 2 ρ 1 + ρ 2 ;
C) ρ = ρ 1 2 ρ 2 ;
D) ρ = ρ 2 2 ρ 1

Answer & Explanation

saltarenqa3

saltarenqa3

Beginner2023-03-14Added 1 answers

The right response is A ρ = ρ 1 + ρ 2 2
As we know,
ρ m i x t u r e = Total mass Total volume [ mass  = volume  ×  density ]
Let each liquid's volume be v. [equal proportion]
ρ = ( ρ 1 × v + ρ 2 × v ) v + v ρ = ( ρ 1 + ρ 2 ) v 2 v ρ = ( ρ 1 + ρ 2 2 )

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