What is the volume of a liquid if 32.5 g if the liquid has a density of 0.852 g/mL?

2 Answers
Dec 3, 2015

Density, #rho#, is mass per unit volume: #m/V#, where #m# is mass and #V# is volume.

Explanation:

We are given that #rho# #=# #0.852*g*mL^(-1)#; further that we have a mass of #32.5# #g#. So if we divide the mass by the density, we should reasonably get an answer in VOLUME.

So, #(mass)/rho# #=# #(32.5*cancel(g))/(0.852*cancel(g)*mL^(-1)) = ?? mL#. Approx. #35-40# #mL#.

The answer is in #mL#, a measure of volume, as required, because #(1/(mL))^-1# #=# #mL#.

Dec 3, 2015

38.145mL

Explanation:

Mass of liquid = 32.5g
Density = 0.852g/mL
Volume = ?

Sol:-
Density is defined as mass per unit volume, #D = m/V#
or we can write this formula as #V = m/D#

Putting the values in above formula;
#V = (32.5g)/(0.852g/"mL")# = 38.145mL