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2. volume of a liquid if a solid, use a displacement for a solid) - mea…

Question

  1. volume of a liquid if a solid, use a displacement for a solid) - measured in - water displacement: 1. put enough water in graduated cylinder to cover the object 2. record initial volume 3. add object 4. record final volume, with object in it 5. subtract v_f - v_i to find the volume of the object example #2: a sample of aluminum is put into 10.5 ml of water. if the water rises to 13.5 ml when the aluminum added, what is the density of the aluminum if it has a mass of 8.1 g?

Explanation:

Step1: Find volume of aluminum

The initial volume of water $v_i = 10.5\ mL$, the final volume of water with aluminum $v_f=13.5\ mL$. Using the water - displacement method, the volume of aluminum $V = v_f - v_i$.
$V=13.5 - 10.5=3\ mL$

Step2: Calculate density of aluminum

The density formula is $
ho=\frac{m}{V}$, where $m = 8.1\ g$ and $V = 3\ mL$.
$
ho=\frac{8.1}{3}=2.7\ g/mL$

Answer:

The density of the aluminum is $2.7\ g/mL$