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question 10 2 pts a metal sphere weigh 2.403 g is added to 15.0 ml wate…

Question

question 10
2 pts
a metal sphere weigh 2.403 g is added to 15.0 ml water in graduated cylinder. the water level rise to 16.7 ml. calculate the density of the metal.
0.92 g/ml
2.8 g/ml
1.8 g/ml
1.4 g/ml

Explanation:

Step1: Find volume of metal

The volume of the metal is equal to the volume of water displaced. Volume of water displaced $V=V_{final}-V_{initial}$. So, $V = 16.7\ mL - 15.0\ mL=1.7\ mL$.

Step2: Calculate density

The density formula is $
ho=\frac{m}{V}$, where $m = 2.403\ g$ and $V = 1.7\ mL$. Then $
ho=\frac{2.403\ g}{1.7\ mL}\approx1.4\ g/mL$.

Answer:

1.4 g/mL