Dr. House took two liquids of different densities (p_1=1500 kg/m^3; p_2 = 500 kg/m^3) are poured together into a 0.1 m^3 tank filling it. If the resulting density of the mixture is 800 kg/m^3. He was asked to find the respective volume of liquids used.

Question

Chemistry

Ean

22 December, 18:49

Dr. House took two liquids of different densities (p_1=1500 kg/m^3; p_2 = 500 kg/m^3) are poured together into a 0.1 m^3 tank filling it. If the resulting density of the mixture is 800 kg/m^3. He was asked to find the respective volume of liquids used.

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Picasso · Answer 1

We know that:

mass = density x volume

The volume of the total mixture is 0.1 m³

Let the first liquid be A and the second be B

Mass Total = Mass A + Mass B

800 x 0.1 = 1500Va + 500 (0.1 - Va)

30 = 1000Va

Va = 0.03 m³

Vb = 0.1 - 0.03 = 0.07 m³