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Liquid A has a density of 1.8 g/cm³ Liquid B has a density of 1.2 g/cm³ 80 cm³ of liquid A is mixed with 40 cm³ of liquid B to make 120 cm³ of liquid C - Edexcel - GCSE Maths - Question 8 - 2021 - Paper 2

Question 8

Liquid-A-has-a-density-of-1.8-g/cm³-Liquid-B-has-a-density-of-1.2-g/cm³--80-cm³-of-liquid-A-is-mixed-with-40-cm³-of-liquid-B-to-make-120-cm³-of-liquid-C-Edexcel-GCSE Maths-Question 8-2021-Paper 2.png

Liquid A has a density of 1.8 g/cm³ Liquid B has a density of 1.2 g/cm³ 80 cm³ of liquid A is mixed with 40 cm³ of liquid B to make 120 cm³ of liquid C. Work out t... show full transcript

Worked Solution & Example Answer:Liquid A has a density of 1.8 g/cm³ Liquid B has a density of 1.2 g/cm³ 80 cm³ of liquid A is mixed with 40 cm³ of liquid B to make 120 cm³ of liquid C - Edexcel - GCSE Maths - Question 8 - 2021 - Paper 2

Step 1

Calculate the total mass of liquid A

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Answer

The formula for mass is given by the equation:

$\text{Mass} = \text{Density} \times \text{Volume}$
For liquid A:
$\text{Mass}_A = 1.8 \, \text{g/cm}^3 \times 80 \, \text{cm}^3 = 144 \, \text{g}$

Step 2

Calculate the total mass of liquid B

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Answer

For liquid B:
$\text{Mass}_B = 1.2 \, \text{g/cm}^3 \times 40 \, \text{cm}^3 = 48 \, \text{g}$

Step 3

Calculate the density of liquid C

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Answer

The total mass of liquid C is:
$\text{Total Mass} = \text{Mass}_A + \text{Mass}_B = 144 \, \text{g} + 48 \, \text{g} = 192 \, \text{g}$

The density of liquid C can be calculated as:
$\text{Density}_C = \frac{\text{Total Mass}}{\text{Total Volume}} = \frac{192 \, \text{g}}{120 \, \text{cm}^3} = 1.6 \, \text{g/cm}^3$

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