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as. Liquid A has a density of 1.8g/cm^3 Liquid B has a density of 1.2g/cm^3 80cm^3 of liquid A is mixed with 40cm^3 of liquid B to make 120cm^3 of liquid C. Work out the density of liquid C.

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as.
Liquid A has a density of 1.8g/cm^3
Liquid B has a density of 1.2g/cm^3
80cm^3 of liquid A is mixed with 40cm^3 of liquid B to make
120cm^3 of liquid C.
Work out the density of liquid C.

as. Liquid A has a density of 1.8g/cm^3 Liquid B has a density of 1.2g/cm^3 80cm^3 of liquid A is mixed with 40cm^3 of liquid B to make 120cm^3 of liquid C. Work out the density of liquid C.

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MirandaMaster · Tutor for 5 years

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The density of liquid C is \( 1.6 \mathrm{~g/cm^{3}} \)

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## Step 1: <br />First, we need to calculate the mass of each liquid. The mass of a substance can be calculated by multiplying its density by its volume. <br /><br />### The formula for mass is: <br />**\( mass = density \times volume \)**<br /><br />## Step 2: <br />Next, we calculate the mass of liquid A and liquid B using the formula from step 1. <br /><br />## Step 3: <br />After that, we add the masses of liquid A and liquid B to get the total mass of liquid C. <br /><br />## Step 4: <br />Finally, we calculate the density of liquid C. The density of a substance can be calculated by dividing its mass by its volume. <br /><br />### The formula for density is: <br />**\( density = \frac{mass}{volume} \)**<br /><br /># Calculations:<br /><br />## Step 1: <br />The mass of liquid A is \( 1.8 \mathrm{~g/cm^{3}} \times 80 \mathrm{~cm^{3}} = 144 \mathrm{~g} \)<br />The mass of liquid B is \( 1.2 \mathrm{~g/cm^{3}} \times 40 \mathrm{~cm^{3}} = 48 \mathrm{~g} \)<br /><br />## Step 2: <br />The total mass of liquid C is \( 144 \mathrm{~g} + 48 \mathrm{~g} = 192 \mathrm{~g} \)<br /><br />## Step 3: <br />The density of liquid C is \( \frac{192 \mathrm{~g}}{120 \mathrm{~cm^{3}}} = 1.6 \mathrm{~g/cm^{3}} \)
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