The density of apple juice is 1.05 grams per cm³ - Edexcel - GCSE Maths - Question 6 - 2017 - Paper 3
Question 6
The density of apple juice is 1.05 grams per cm³.
The density of fruit syrup is 1.4 grams per cm³.
The density of carbonated water is 0.99 grams per cm³.
25 cm³ of ... show full transcript
Worked Solution & Example Answer:The density of apple juice is 1.05 grams per cm³ - Edexcel - GCSE Maths - Question 6 - 2017 - Paper 3
Step 1
Calculate the mass of each component
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Answer
To calculate the mass of each liquid in the mixture, we use the formula:
Mass = Density × Volume.
Apple Juice:
Density = 1.05 g/cm³
Volume = 25 cm³
Mass = 1.05 g/cm³ × 25 cm³ = 26.25 g
Fruit Syrup:
Density = 1.4 g/cm³
Volume = 15 cm³
Mass = 1.4 g/cm³ × 15 cm³ = 21.0 g
Carbonated Water:
Density = 0.99 g/cm³
Volume = 280 cm³
Mass = 0.99 g/cm³ × 280 cm³ = 277.2 g
Step 2
Calculate the total mass of the drink
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Answer
Now, we add the masses of each component:
Total Mass = Mass of Apple Juice + Mass of Fruit Syrup + Mass of Carbonated Water
Total Mass = 26.25 g + 21.0 g + 277.2 g = 324.45 g
Step 3
Calculate the density of the drink
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Answer
Finally, we can calculate the density of the drink using the formula:
Density = Total Mass / Total Volume
Total Volume = 320 cm³ (given)
Density = 324.45 g / 320 cm³ = 1.01484375 g/cm³
Rounding this to 2 decimal places, we get 1.01 g/cm³.
