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I am doing some practicing so Please check my work please. Acetone (nail polish remover) has a density of 0.7857 g/cm^3. A) What is the mass, in g, of 28.56 mL of acetone? B) What is the volume, in mL, of 6.54g of acetone? Correct it if it's wrong.
##"Density, "rho## ##=## ##"Mass"/"Volume"##
We simply use the given equation to solve for mass or volume. We know or should know that ##1*mL## ##-=## ##1*cm^3##.
For a ##28.56*mL## volume of acetone, ##"Mass"## ##=## ##"Volume"xxrho## ##=## ##28.56*cancel(mL)xx0.7857*g*cancel(mL^-1)## ##~=## ##22*g##
So my answer is consistent with yours (of course, we might have both made the same error, however, my answer is consistent dimensionally so this is unlikely).
For a mass of ##6.54*g" acetone"##,
##"Volume"## ##=## ##"Mass"/rho## ##=## ##(6.54*cancelg)/(0.7857*cancelg*mL^-1)## ##=## ##"what you got"##, and the answer is in ##1/(mL^-1)=mL## as required.
So, I think you are batting on a firm wicket.