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