Question

question 15
1 pts
a silver picture frame displaces 0.454 l of water and has a mass of 2.78 kg. calculate the density of the silver in g/cm³. note: 1 ml = 1 cm³
6.12 g/cm³
8.62 g/cm³
19.3 g/cm³
1.31 g/cm³

Explanation:

Step1: Convert mass to grams

Since 1 kg = 1000 g, then 2.78 kg = 2.78×1000 g = 2780 g.

Step2: Convert volume to cm³

Since 1 L = 1000 mL and 1 mL = 1 cm³, then 0.454 L = 0.454×1000 cm³ = 454 cm³.

Step3: Calculate density

The formula for density is $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Substituting $m = 2780$ g and $V=454$ cm³, we get $
ho=\frac{2780}{454}\approx6.12$ g/cm³.

Answer:

6.12 g/cm³