A 32.85-{\rm g} sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the flask so that the total volume of solid and liquid together is 46.00 mL. The solid and toluene together weigh 58.56 g. The density of toluene at the temperature of the experiment is 0.864 {\rm g/mL}.
the question is looking for the density of the solid, FYI.
To find the density of the solid, we need to determine its volume and then divide its mass by the volume.
Let's start by finding the volume of the solid. We know that the total volume of the solid and liquid together is 46.00 mL. Since the solid is insoluble in toluene, the volume of the solid added to the flask remains constant when toluene is added.
So, we can find the volume of the solid by subtracting the volume of the liquid (toluene) from the total volume.
Volume of solid = Total volume - Volume of toluene
Volume of solid = 46.00 mL - Volume of toluene
Now, we need to find the volume of toluene. Since we know the density of toluene, we can use the formula:
Density = Mass / Volume
We are given the total mass of the toluene and solid together, which is 58.56 g, and we know the density of toluene is 0.864 g/mL.
Let's use these values to calculate the volume of toluene.
Volume of toluene = Mass of toluene / Density of toluene
Volume of toluene = (58.56 g - Mass of solid) / 0.864 g/mL
Next, we can substitute this value into the previous equation to find the volume of the solid.
Volume of solid = 46.00 mL - Volume of toluene
Finally, we can calculate the density of the solid.
Density of solid = Mass of solid / Volume of solid
Density of solid = Mass of solid / (46.00 mL - Volume of toluene)
By following these steps and plugging in the given values, you can find the density of the solid.
Nicole--You persist in using symbols and defining them. IF 32.85 is grams of the solid (I don't what the garbage is) and 0.864 is density in g/mL, then
58.56 g = mass solid + mass toluene
32.85 g = mass solid
_________
25.71 g = mass toluene used.
volume of toluene = mass/density = 25.71/0.864 = 29.76 mL.
Check my work, especially for typos.
46.00 mL = volume solid + toluene
29.76 mL = volume toluene
___________
xxx mL = volume solid
density solid = mass/volume = ??