Questions: Method 1-Displacement of Water in a Graduate Cylinder. Mass, metal: 29.21 V Volume, Water + metal: 55.0 V Volume, Water: 50.0 V Volume, metal *: 5 . V Density:

Method 1-Displacement of Water in a Graduate Cylinder.
Mass, metal: 29.21 V
Volume, Water + metal: 55.0 V
Volume, Water: 50.0 V
Volume, metal *: 5 . V
Density:

Transcript text: Method 1-Displacement of Water in a Graduate Cylinder. \begin{tabular}{|l|l|} \hline Mass, metal & 29.21 V \\ \hline Volume, Water + metal & 55.0 V \\ \hline Volume, Water & $50.0_{\mathrm{V}}$ \\ \hline Volume, metal $^{*}$ & $5 . \mathrm{V}_{\mathrm{V}}$ \\ \hline Density & \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Calculate the Volume of the Metal

The volume of the metal can be determined by subtracting the volume of water from the combined volume of water and metal. According to the data provided:

\[ \text{Volume of metal} = \text{Volume of Water + metal} - \text{Volume of Water} = 55.0 \, \text{V} - 50.0 \, \text{V} = 5.0 \, \text{V} \]

Step 2: Calculate the Density of the Metal

Density is defined as mass per unit volume. Using the mass of the metal and the volume of the metal calculated in Step 1, the density can be calculated as follows:

\[ \text{Density} = \frac{\text{Mass of metal}}{\text{Volume of metal}} = \frac{29.21 \, \text{V}}{5.0 \, \text{V}} = 5.842 \, \text{V}^{-1} \]