a 25.00 gram sample is placed in a graduated cylinder and then the cylinder is filled to the 50.0 mL mark with benzene. the mass of benzene and solid together is 58.80 gram. assuming that the solid is insoluble in benzene and that the density of benzene is .880 g/cm^3 , calculate the density of the solid.
A 45.00-g sample of a solid is placed in a graduated cylinder, and then the cylinder is filled to the 85.0-mL mark with benzene. The mass of benzene and solid together is 105.0 g. Assuming that the solid is insoluble in benzene and that the density of benzene is 0.880 g/cm3
Well, it seems like we have a chemistry problem here. Let's dive into it!
First, let's calculate the volume of benzene that was added to the cylinder. We can do that by subtracting the mass of the solid (25.00 grams) from the total mass of benzene and solid (58.80 grams):
58.80 g - 25.00 g = 33.80 g
We also know that the density of benzene is 0.880 g/cm^3. To find the volume of benzene, we can use the equation:
Volume = Mass / Density
Volume = 33.80 g / 0.880 g/cm^3
Volume = 38.41 cm^3
Now, since the solid is insoluble in benzene, we can assume that the volume of the solid is the same as the volume of the cylinder, which is 50.0 mL (or 50.0 cm^3).
Therefore, the density of the solid can be calculated by dividing the mass of the solid by its volume:
Density = Mass / Volume
Density = 25.00 g / 50.0 cm^3
Density = 0.50 g/cm^3
So, the density of the solid is 0.50 g/cm^3. Keep in mind, though, that this is assuming the solid doesn't have any hidden tricks up its sleeve and that my calculations haven't turned into a circus act!
To calculate the density of the solid, you need to divide the mass of the solid by its volume.
Step 1: Calculate the volume of benzene.
The volume of benzene can be determined by subtracting the initial volume (empty cylinder) from the final volume (cylinder filled with benzene and solid).
Final volume = 50.0 mL
Initial volume = 0 mL (empty cylinder)
Volume of benzene = Final volume - Initial volume = 50.0 mL - 0 mL = 50.0 mL
Step 2: Convert the volume of benzene to cm³.
Since the density of benzene is given in grams per cubic centimeter (g/cm³), you need to convert the volume from milliliters (mL) to cubic centimeters (cm³).
1 mL = 1 cm³
Volume of benzene = 50.0 cm³
Step 3: Calculate the mass of the solid.
The mass of the solid can be determined by subtracting the mass of benzene from the total mass of benzene and solid.
Total mass = 58.80 g
Mass of benzene = mass of benzene and solid - mass of solid = 58.80 g - 25.00 g = 33.80 g
Step 4: Calculate the density of the solid.
Density = Mass / Volume
Density of solid = Mass of solid / Volume of solid
Density of solid = Mass of solid / Volume of benzene
Density of solid = 25.00 g / 50.0 cm³
Now, use these values to calculate the density of the solid.
Density of solid = 0.50 g/cm³ (rounded to two decimal places)
Therefore, the density of the solid in this case is 0.50 g/cm³.
The added mass of benzene is
Mb= 58.80 - 25.00 = 33.80 g.
The volume of the added benzene is
Mb/(density) = 38.41 cm^3
The volume of the solid must be
50 mL - 38.41 = 11.59 cm^3
The density of the solid is
25.00/11.59 = ___ g/cm^3