Respuesta :
Answer:
Explanation:Density x Volume = Mass
1) (9.4 g/mL)(3.4 mL) = 31.95g
2) (19.30 g/ml)*V = 500g [I assumed a density of gold of 19.30 g/ml]
V = 25.9g
3) If the actual density of gold is 19.30 g/ml and he found 10.51 g/ml, then either he is wrong about the sample being gold, or he made an error of [(10.51-19.30)/19.30]*100% or -45.5 %
1. The mass of the metal is 31.96 g
2. The volume of the gold is 25.91 mL
3. The percentage error of the student is 45.54%
The density of an object is defined as the mass of the object per unit volume of the object i.e
[tex]Density = \frac{mass}{volume}\\\\\\[/tex]
1. Determination of the mass of the metal.
Volume of metal = 3.4 mL
Density of metal = 9.4 g/mL
Mass of metal =?
Mass = Density × Volume
Mass = 9.4 × 3.4
Mass of metal = 31.96 g
Thus, the mass of the metal is 31.96 g.
2. Determination of the volume of gold.
Mass of gold = 5×10² g = 500 g
Density of gold = 19.3 g/mL
Volume of gold =?
[tex]Volume = \frac{mass}{density} \\\\ Volume = \frac{500}{19.3}\\\\[/tex]
Volume of gold = 25.91 mL
Thus, the volume of the gold is 25.91 mL
3. Determination of the percentage error.
Measured density = 10.51 g/mL
Accepted density = 19.3 g/mL
Absolute error = |Measured – Absolute|
Absolute error = |10.51 – 19.3|
Absolute error = 8.79 g/mL
Percentage error =?
[tex]Percentage error = \frac{Absolute error}{Accepted value } * 100\\\\= \frac{8.79}{19.3} * 100\\\\[/tex]
Percentage error = 45.54%
Therefore, the percentage error of the student is 45.54%
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