An alloy of iron and silver has a total mass of 30 grams and a volume of 20.4 centimetre cube Calculate the mass of iron only and the volume silver only
Please help
Fe 7.87 g/cm^3
Ag 10.5 g/cm^3
Viron* 7.87 + Vag*10.5 = 30
Viron + Vag = 20.4
ok?
To calculate the mass of iron and the volume of silver in the alloy, we need to use the given total mass and volume and the respective densities of iron and silver.
1. Find the density of iron:
The density of iron is approximately 7.87 grams per cubic centimeter (g/cm³). This means that each cubic centimeter of iron weighs 7.87 grams.
2. Find the density of silver:
The density of silver is approximately 10.49 g/cm³.
Now, let's calculate the mass of iron and the volume of silver:
Mass of iron:
First, we need to find the mass of silver in the alloy by subtracting the mass of iron from the total mass.
Mass of silver = Total mass - Mass of iron
Given the total mass of the alloy is 30 grams and that it contains both iron and silver, we don't have the actual mass of either element. Therefore, we need additional information to determine the mass of iron and silver individually or find the percentage composition of the alloy.
Volume of silver:
Similarly, we need additional information to determine the volume of silver.
Without knowing the percentage composition or individual mass of iron and silver in the alloy, we cannot accurately calculate the mass of iron or the volume of silver.