Final answer:
The density of the liquid is approximately 0.9419 g/mL.
Step-by-step explanation:
The density of a substance is defined as the mass of the substance per unit volume. To calculate the density of a liquid, you need to divide the mass of the liquid by its volume.
In this case, the mass of the liquid is 14.714 g and the volume is 15.63 mL. Dividing the mass by the volume gives us:
Density = Mass / Volume = 14.714 g / 15.63 mL ≈ 0.9419 g/mL.
Since the given mass has five significant figures and the given volume has four significant figures, we round the density to four significant figures, resulting in a density of 0.9419 g/mL.
To determine the density of a liquid, you need to divide the mass of the liquid by its volume. The formula for density (d) is: d = mass / volume Given the values: - Mass (m) of the liquid = 14.714 g - Volume (V) of the liquid = 15.63 mL So the density of the liquid is: d = 14.714 g / 15.63 mL
Now, running the division gives us: d = 0.9410430839002267 g/mL (a long number with many decimal places) However, we must report our answer with the correct number of significant digits. Significant digits are used to communicate the precision of measurements.
You are given two measurements: - The mass with 5 significant digits (14.714) - The volume with 4 significant digits (15.63) When performing division, the result should be reported with the least number of significant digits found in any of the measurements.
Therefore, since the volume has 4 significant digits, the density should be reported with 4 significant digits as well. Now, to correctly round to four significant digits, we look at the fifth digit (in this case, '4'), if this digit is 5 or greater, we round up the fourth digit, if it's less than 5, we leave the fourth digit as it is.
Our calculated density is 0.9410430839002267 g/mL, and the fifth digit is '0'. No need to round up the fourth digit. Thus, rounding 0.9410430839002267 to four significant digits, we get: d = 0.9410 g/mL Therefore, the density of the liquid reported with the correct number of significant digits is 0.9410 g/mL.