Question

The specific gravity of iron is 7.87, and the density of water at 4.00

∘
C
is 1.00
g/c
m
3
. You can use this information to find the density of iron.
Find the volume occupied by 6.00
g
of iron

Answer 1

The volume of 6.00g iron is 0.762 cm^3.

Step 1. Calculate the density of Fe

The specific gravity (SG) of a substance is the ratio of its density to the density of water at 4 °C.

SG = density of substance/density of water.

∴ 7.87 = density of iron/1.00 g·cm^(-3)

Density of Fe = 7.87 × 1.00 g·cm^(-3) = 7.87 g·cm^(-3)

Step 2. Calculate the mass of Fe

Volume of Fe = 6.00 g Fe × (1 cm^3 Fe/7.87 g Fe) = 0.762 cm^3