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The density of apple juice is 1.04 grams per cm3. The density of fruit syrup is 1.6 grams per cms The density of sparkling water is 0.99 grams per cm3. 35 cm of apple juice are mixed with 25 cm3 of fruit syrup and 270 cm3 of sparkling water to make a drink with a volume of 330 cm3. Work out the density of the drink. Give your answer correct to 3 decimal places.

Respuesta :

jcherry99

Answer:

Density = 1.042  grams /cm^3

Step-by-step explanation:

Work out the mass of each of three in a unit volume (cm^3)

Givens

  • Apple Juice = 1.04 grams / cm^3
  • Fruit Syrup = 1.6 grams / cm^3
  • Sparkling water = 0.99 grams / cm^3

Mixture

35 cm^3 Apple Juice = 1.04 grams / cm^3 * 35 cm^3 = 36.4 grams

25 cm^3 Fruit = 1.6 grams/cm^3 * 25 cm^3 =                  40    grams

270 cm^3 water = 0.99 * 270                                        267.3 grams

Total Mixture

  • Volume = 25 + 35 + 270 = 330 cm^3
  • Mass =  36.4 + 40 + 267.3 = 343.7 grams

Density

Density = mass / volume = 343.7 / 330 = 1.0415

Answer

1.042 grams / cm^3  

adioabiola

The density of the resulting drink is; 1.042 grams per cm³.

To find the density of the resulting drink, we need to first determine the mass of each of the constituents.

The masses of the constituents can be found as follows;

  • Mass = density × volume

For apple juice;

  • Mass(a) = 1.04 × 35 = 36.4grams

For fruit syrup;

  • Mass(f) = 1.6 × 25 = 40grams.

For sparkling water;

  • Mass(s) = 0.99 × 270 = 267.3grams

Therefore, the total mass of the drink is;

  • = 36.4 + 40 + 267.3 = 343.7 grams.

And, since the total volume of the drink is 330cm³

  • Density of the drink = 343.7 grams/ 330 cm³

Density of the drink = 1.042 grams per cm³.

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