Please help me solve this problem

Question

The density of rubbing alcohol is 0.785 g/mL at 25^oC.

a.       Calculate the mass of 15.0 mL of the rubbing alcohol.

b.       Calculate the volume of the 15.0 g of the rubbing alcohol.

Answer 1

a) We are given the density of rubbing alcohol, d = 0.785 g/mL. Using dimensional analysis, to find the mass of 15 mL of rubbing alcohol, we can use the formula for density = mass/volume, or d = g/mL, and rearrange it so that mass = density x volume.

mass (g) = (0.785 g/mL) x (15 mL) = 11.8 g.

Note that the units of volume cancel out and we are left with units of mass, g.

b) To find the volume of 15 g of rubbing alcohol, we can again use the density formula and rearrange it so that volume = mass/density.

volume (mL) = (15 g) / (0.785 g/mL) = 19.1 mL

Note that the units of mass cancel out and we are left with units of volume, mL.

I hope this helps!!