Final answer:
The density of the liquid is 0.770 g/cm³. The density of the liquid is calculated by dividing the mass of the liquid (123.2 g) by the volume of the container (160.0 cm³) which results in a density of 0.770 g/cm³ to three significant figures. The correct answer is B.
Step-by-step explanation:
The density of a substance is calculated by dividing the mass of the sample by its volume. In this case, the empty container with a mass of 75.7 g was filled with liquid, resulting in a total mass of 198.9 g. To find the density, we need to subtract the mass of the empty container from the total mass to find the mass of the liquid. Then, we divide this mass by the volume of the container to get the density.
Mass of liquid = Total mass - Mass of container = 198.9 g - 75.7 g = 123.2 g
Density = Mass of liquid / Volume of container = 123.2 g / 160.0 cm³ = 0.770 g/cm³ (to three significant figures).
The density of the liquid is calculated by dividing the mass of the liquid (123.2 g) by the volume of the container (160.0 cm³) which results in a density of 0.770 g/cm³ to three significant figures.
To find the density of the liquid, we must divide the mass of the liquid by its volume. The mass of the liquid is calculated by subtracting the mass of the empty container from the total mass when the liquid is added, which is 198.9 g - 75.7 g = 123.2 g. The volume of the container, which holds the liquid, is given as 160.0 cm³. Therefore, the density (ρ) can be calculated using the formula ρ = mass/volume, which equals 123.2 g/160.0 cm³.
The result of this division is 0.770 g/cm³. Given that the mass measurement has four significant figures and the volume measurement has only three significant figures, we must round the density to three significant figures to match the least number of significant figures in the given measurements. The correct option reflecting this rounding is B. 0.770 g/cm³.