Question

Given `rho_"substance"=2.78*g*mL^-1`, what volume is associated with a `32.0*g` mass?

Answer 1

`rho, "Density"="Mass"/"Volume"`

Explanation:

I write the defining quotient because given two of the three properties, we can access the third by division or multiplication.....

Here we gots `rho`, and we gots `"mass"`....

And so, clearly, we can calculate `"volume"="Mass"/rho`

`(32*cancelg)/(2.78*cancelg*mL^-1)=11.5*1/(mL^-1)=11.5*1/(1/(mL))=11.5*mL`....

Such an operation is also consistent dimensionally, which is why I include the units of each property. We want an answer with units of density, `"mass per unit volume"`; the quotient gave us an answer with units `"mass per unit volume"`, so we cannot be too far wrong.