Question

a student is analyzing data from a density experiment. the student records a mass of 76.68 g and a volume of 50.5 ml. the student is trying to calculate density (mass divided by volume) and use the correct number of significant digits. which answer is correct? 1.518 g/ml 1.51841584158 g/ml 1.51 g/ml 1.52 g/ml

Explanation:

Step1: Calculate density formula

Density $
ho=\frac{m}{V}$, where $m = 76.68\ g$ and $V=50.5\ mL$.

Step2: Substitute values

$
ho=\frac{76.68}{50.5}=1.51841584158\ g/mL$.

Step3: Determine significant - digits

The mass has 4 significant digits and the volume has 3 significant digits. In division, the result should have the same number of significant digits as the measurement with the fewest significant digits. So, the result should be rounded to 3 significant digits. Rounding 1.51841584158 to 3 significant digits gives 1.52 g/mL.

Answer:

1.52 g/mL