Next, the chemist measures the volume of the unknown liquid as 0.600 L and the mass of the unknown liquid as 661 g.

Calculate the density of the liquid. Round your answer to 3 significant digits.

Given the data above, is it possible to identify the liquid?

A. Yes
B. No

If it is possible to identify the liquid, do so.

A. Tetrahydrofuran
B. Diethylamine
C. Pentane
D. Dimethyl sulfoxide



Answer :

Sure, let's solve this problem step-by-step.

1. Convert Volume to Cubic Centimeters:
- The volume given is 0.600 liters.
- To convert liters to cubic centimeters, use the conversion factor [tex]\(1 \text{ liter} = 1000 \text{ cm}^3\)[/tex].
[tex]\[ 0.600 \text{ liters} \times 1000 \text{ cm}^3/\text{liter} = 600.0 \text{ cm}^3 \][/tex]

2. Calculate the Density:
- Density ([tex]\(\rho\)[/tex]) is calculated using the formula:
[tex]\[ \rho = \frac{\text{mass}}{\text{volume}} \][/tex]
- Given:
- Mass = 661 grams
- Volume = 600.0 cm³
[tex]\[ \rho = \frac{661 \text{ g}}{600.0 \text{ cm}^3} \approx 1.102 \text{ g/cm}^3 \][/tex]
- Rounding to 3 significant digits:
[tex]\[ \rho \approx 1.10 \text{ g/cm}^3 \][/tex]

3. Identify the Unknown Liquid:
- We need to compare the calculated density with the densities of known liquids:

| Liquid | Density (g/cm³) |
|--------------------|-----------------|
| Tetrahydrofuran | 0.889 |
| Diethylamine | 0.706 |
| Pentane | 0.626 |
| Dimethyl sulfoxide | 1.100 |

- The calculated density (1.10 g/cm³) is closest to the density of Dimethyl sulfoxide.

Conclusion:
- The density of the liquid is 1.10 g/cm³ (rounded to 3 significant digits).
- It is possible to identify the liquid as Dimethyl sulfoxide based on the given options.