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A piece of metal with a mass of 10.5 g was placed into a graduated cylinder which contained water. Upon complete submersion the water level in the graduated cylinder rose 1.47 mL . What is the likely identity of the metal? A Ag,d=10.5g/cm^3 B Pa,d=15.4g/cm^3 C Zn,d=7.14g/cm^3 D Ca,d=1.54g/cm^3

Question

A piece of metal with a mass of 10.5 g was placed into a graduated cylinder which contained water. Upon
complete submersion the water level in the graduated cylinder rose 1.47 mL . What is the likely identity of
the metal?
A Ag,d=10.5g/cm^3
B Pa,d=15.4g/cm^3
C Zn,d=7.14g/cm^3
D Ca,d=1.54g/cm^3

A piece of metal with a mass of 10.5 g was placed into a graduated cylinder which contained water. Upon complete submersion the water level in the graduated cylinder rose 1.47 mL . What is the likely identity of the metal? A Ag,d=10.5g/cm^3 B Pa,d=15.4g/cm^3 C Zn,d=7.14g/cm^3 D Ca,d=1.54g/cm^3

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JadeProfessional · Tutor for 6 years

Answer

### C. $Zn, d=7.14 \text{ g/cm}^3$

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## Step 1: Calculate the density of the metal<br />### Density is given by the formula $\rho = \frac{m}{V}$, where $m$ is the mass and $V$ is the volume. Here, $m = 10.5$ g and $V = 1.47$ mL (which is equivalent to 1.47 cm³ since 1 mL = 1 cm³). Thus, $\rho = \frac{10.5 \text{ g}}{1.47 \text{ cm}^3}$.<br />## Step 2: Perform the division<br />### $\rho = \frac{10.5}{1.47} \approx 7.14 \text{ g/cm}^3$.<br />## Step 3: Compare the calculated density with the given options<br />### The calculated density (7.14 g/cm³) matches the density of zinc (Zn) from the given options.
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