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.

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