1. 4.67 kg; 2. 4.8 ×10^5 kg; 3. 0.106 cm^3; 4. 1.7 g/cm^3
Q1. Mass of Hg
Mass = 345 mL × (13.53 g/1 mL) = 4670 g = 4.67 kg
Q2. Mass of Pb
Step 1. Calculate the volume of the Pb.
V = lwh = 6.0 m × 3.5 m × 2.0 m = 42.0 m^3
Step 2. Calculate the mass of the Pb.
Mass = 42.0 m^3 × (11 340 kg/1 m^3) = 4.8 × 10^5 kg
Q3. Volume of displaced water
Volume of Ag = 0.987 g × (1 cm^3/9.320 g) = 0.106 cm^3
Archimedes: volume of displaced water = volume of Ag = 0.106 cm^3
4. Density of metal
Step 1. Convert ounces to grams
Mass = 3.35 oz × (28.35 g/1 oz) = 94.97 g
Step 2. Calculate the volume in cubic inches
V = lwh = 3.0 in × 2.5 in × 0.45 in = 3.38 in^3
Step 3. Convert cubic inches to cubic centimetres
V = 3.38 in^3 × (2.54 cm/1 in)^3 = 55.3 cm^3
Step 4. Calculate the density
ρ = m/V = (94.97 g/55.3 cm^3) = 1.7 g/cm^3 (magnesium?)