Answered

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a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid of density 1.2g/cm3​

Sagot :

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Answer:

100 g

Explanation:

Let the mass of density 1.2 g/cm³ be x gram and let the mass of density 1.8 g/cm³ be y gram

Applying

Density (D) = mass(m)/Volume (V)

Volume (V) = mass(m)/Density(D)

V = m/D........................... Equation 1

From the question,

x+y = 400...................... Equation 1

Volume of the liquidis

V = 400/1.6 = 250 cm³

(x/1.2)+(y/1.8) = 250

(1.8x/1.2)+y = 450............... Equation 1

Solving both equation simultaneously,

Subtract equation 1 from equation 2

x-(1.8x/1.2)+(y-y) = 400-450

x-1.5x = -50

-0.5x = -50

x = -50/-0.5

x = 100 g.

Hence the mass of the liquid of density 1.2 g/cm³ is 100 g

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