Final answer:
To calculate the density of the mixture, we determine the total mass by summing the mass of each liquid based on their given densities and volumes, then divide by the total volume. After careful calculations, the resulting density of the mixture rounds to 1.09 g/cm³.
Step-by-step explanation:
The question involves the calculation of the density of a mixture of two liquids with known volumes and densities. To find the density of the mixture, we should first calculate the total mass of the combined liquids and then divide that by the total volume of the mixture.
Let us determine the mass of the fresh water using its density and volume:
Mass = Density × Volume
= 1 g/cm³ × 1600 cm³
= 1600 g
Now let's do the same for the sea water:
Mass = 1.2 g/cm³ × 1200 cm³
= 1440 g
Next, we add the masses of the two liquids to get the total mass:
Total Mass = 1600 g + 1440 g
= 3040 g
The total volume of the mixture is the sum of the volumes of the two liquids:
Total Volume = 1600 cm³ + 1200 cm³
= 2800 cm³
Now, we can calculate the density of the mixture:
Density = Total Mass / Total Volume
= 3040 g / 2800 cm³
= 1.08571 g/cm³
When rounding to two decimal places, we have a density of 1.09 g/cm³. However, this value is not one of the provided options. After re-checking the calculations and considering typical rounding practices for multiple choice, we round up to two decimal places, resulting in 1.09 g/cm³ as the closest value to the answer choices provided.