Question

if the irregular object has a mass of 25 g, what is the density of the object?
a) 4.6 g/ml
b) 1.2 g/ml
c) 2.1 g/ml
d) 0.96 g/ml
e) 3.3 g/ml

Explanation:

Step1: Find the volume of the object

The volume of the object is equal to the difference in the volume of water before and after adding the object.
The initial volume of water \(V_1 = 16\space mL\), and the final volume \(V_2=27\space mL\).
So, the volume of the object \(V = V_2 - V_1=27 - 16=11\space mL\)

Step2: Calculate the density of the object

The formula for density is \(
ho=\frac{m}{V}\), where \(m = 25\space g\) (mass of the object) and \(V = 11\space mL\) (volume of the object)
\(
ho=\frac{25\space g}{11\space mL}\approx2.27\space g/mL\), which is closest to \(2.1\space g/mL\) considering possible measurement approximations.

Answer:

C. \(2.1\space g/mL\)