Let's work through the problem step-by-step to solve for the density of the unknown liquid and determine if it matches any of the given substances.
### Step 1: Calculate the Density
The density ([tex]\( \rho \)[/tex]) of a substance is calculated using the formula:
[tex]\[ \rho = \frac{\text{mass}}{\text{volume}} \][/tex]
Given:
- Volume of the unknown liquid: [tex]\( 1008 \, \text{cm}^3 \)[/tex]
- Mass of the unknown liquid: [tex]\( 1.50 \, \text{g} \)[/tex]
Let's plug these values into the formula:
[tex]\[ \rho = \frac{1.50 \, \text{g}}{1008 \, \text{cm}^3} \][/tex]
### Step 2: Simplify the Calculation
[tex]\[ \rho = \frac{1.50}{1008} \][/tex]
[tex]\[ \rho \approx 0.001488 \, \text{g/cm}^3 \][/tex]
Rounding to 3 significant digits, we get:
[tex]\[ \rho \approx 0.001 \, \text{g/cm}^3 \][/tex]
### Step 3: Compare the Calculated Density
Now, let's compare this calculated density with the known densities of the given chemicals:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Substance} & \text{Density} \, (\text{g/mL}) \\
\hline
\text{carbon tetrachloride} & 1.6 \\
\hline
\text{ethanolamine} & 1.0 \\
\hline
\text{dimethyl sulfoxide} & 1.1 \\
\hline
\text{chloroform} & 1.5 \\
\hline
\end{array}
\][/tex]
### Step 4: Determine if Identification is Possible
Looking at the calculated density ([tex]\(0.001 \, \text{g/cm}^3\)[/tex]) and comparing it with the given densities, we see that it does not match the density of any of the listed substances (carbon tetrachloride, ethanolamine, dimethyl sulfoxide, chloroform).
### Conclusion
The calculated density is [tex]\(0.001 \, \text{g/cm}^3\)[/tex]. This value does not correspond to the density of any of the given chemicals.
Therefore, it is not possible to identify the unknown liquid based on the provided data.
[tex]\[
\begin{array}{|c|c|}
\hline
Calculate \, the \, density \, of \, the \, liquid. \, Round \, your \, answer \, to \, 3 \, significant \, digits. & 0.001 \, \frac{\text{g}}{\text{mL}} \\
\hline
\begin{array}{l}
Given \, the \, data \, above, \, is \, it \, possible \\
to \, identify \, the \, liquid?
\end{array} & \text{no} \\
\hline
If \, it \, is \, possible \, to \, identify \, the \, liquid, \, do \, so. & \text{N/A} \\
\hline
\end{array}
\][/tex]
