Question

Applying the rules of significant figures, which of the following would be the correct value for the density of a substance which has a mass if 32.40 g and a volume of 2.0mL?

16.20 g/mL
16 g/mL
0.06 g/mL
5.00 g/mL​

Answer 1

16 g/ml

Further explanation

Given

mass = 32.40 g

volume = 2.0mL

Required

Density

Solution

Density is a quantity derived from the mass and volume

Density is the ratio of mass per unit volume

Density formula:

`\large {\boxed {\bold {\rho ~ = ~ \frac {m} {V}}}}`

ρ = density

m = mass

v = volume

Input the value :

ρ = 32.40 g / 2.0 ml

ρ = 16.2 g/ml

Rules for division: The least number of significant figures in the problem determines the number of significant figures in the answer.

32.40 = 4 sig.fig

2.0 = 2 sig fig

The answer must be 2 sig fig

So the answer = 16 g/ml