You add 8.2g of iron to 25.40mL of water and observe that the volume of iron and water together is 26.44mL . Calculate the density of iron.
evidently the volume of iron is 26.44-25.40 = 1.04 mL.
So, the density is 8.2g/1.04mL = 7.88 g/mL
To calculate the density of iron, you will need to use the formula:
Density = Mass / Volume
First, you need to determine the mass of the iron. Given that you added 8.2g of iron, the mass of the iron is 8.2g.
Next, you need to determine the volume of the iron. Since the volume of the iron and water together is 26.44mL and the volume of the water is 25.40mL, you can calculate the volume of the iron by subtracting the volume of the water from the total volume:
Volume of iron = Total volume - Volume of water = 26.44mL - 25.40mL = 1.04mL
Now that you have the mass of the iron (8.2g) and the volume of the iron (1.04mL), you can calculate the density:
Density = Mass / Volume = 8.2g / 1.04mL
To simplify the units, you should convert mL to cm³, as 1 mL is equal to 1 cm³:
Density = 8.2g / 1.04cm³
Now you can calculate the density of iron by dividing the mass by the volume. The density of iron in this case would be:
Density = 7.88 g/cm³ (rounded to two decimal places)
To calculate the density of iron, we need to use the formula:
Density = mass / volume.
First, we need to find the mass of the iron, and then we can calculate the density.
Given information:
Mass of iron = 8.2g
Volume of water = 25.40mL
Volume of iron and water together = 26.44mL
To find the mass of water, we can subtract the mass of iron from the total mass:
Mass of water = Mass of iron and water - Mass of iron
Mass of water = (8.2g + Unknown) - 8.2g
Since the mass of water is generally negligible compared to the mass of iron, we can simplify this equation by assuming the mass of water is very close to zero:
Mass of water ≈ 0g
Now, we have the mass of the iron and the total volume of iron and water together. We can substitute these values into the density formula:
Density = Mass of iron / Volume
Density = 8.2g / 26.44mL
Calculating the value:
Density = 0.3102 g/mL
Therefore, the density of iron is approximately 0.3102 g/mL.