# A flask contains 32.65g of a solid which is insoluble to toluene. A volume of toluene is added. Together the volume is 50ml and weight 58.58g. Toulene's density is 0.864g/ml. What's the density...

A flask contains 32.65g of a solid which is insoluble to toluene. A volume of toluene is added. Together the volume is 50ml and weight 58.58g. Toulene's density is 0.864g/ml. What's the density of solid?

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### 1 Answer

The key to this problem is that the solid is insoluble in the toluene. Therefore the masses of the toluene and solid are additive, as are their volumes. We can use the given masses to determine the mass of the toluene. Toluene = 58.58g - 32.65 g = 25.93 g. We can use this mass and the density of toluene to determine the volume of toluene that was added: Density = Mass/Volume, therefore Volume = Mass/Density Tv = 25.93g/0.864g/mL = 30.01 mL. We can now determine the volume of the unknown solid: Vs = 50.00 mL - 30.01 mL = 19.99 mL With its mass and volume identified, we can now calculate the density of the solid: Ds = 32.65g/19.99mL = 1.63 g/mL. The density of the unknown solid is 1.63 g/mL