Question

Calculate the density of a .03020L sample of ethyl alcohol with a mass of 23.71002g

A) 0.786 g/L
B) 2.546 g/L
C) 786 g/L
D) 0.00255 g/L

Answer 1

The density of the ethyl alcohol sample is calculated by dividing the mass (23.71002 g) by the volume (30.2 mL) and then converting the result to g/L, giving a density of 785 g/L.

Step-by-step explanation:

To calculate the density of a 0.03020 L (or 30.2 mL) sample of ethyl alcohol with a mass of 23.71002 g, we use the formula:

Density = mass/volume

Here, we have a mass of 23.71002 g and a volume of 0.03020 L. Note that 1 L = 1000 mL, so to keep the units consistent we can either convert the mass to kg (which is not conventional for these calculations) or convert the volume to mL, which is more common. Since the student provided measurements in mL, we do the latter:

Density = 23.71002 g / 30.2 mL = 0.785 g/mL

However, we want the density in g/L, not g/mL, so we need to convert the units:

Density = (0.785 g/mL) x (1000 mL/L) = 785 g/L

Therefore, the density of the ethyl alcohol sample is 785 g/L.