How many grams of diethyl ether are present if 3.594 mL are present? Provide your answer as a number with 3 decimal places.
Molecular weight of diethyl ether: 74.12 g/mol
Density of diethyl ether: 0.706 g/mL
The Correct Answer and Explanation is :
To calculate the mass of diethyl ether, we will use the formula:
[
\text{Mass} = \text{Density} \times \text{Volume}
]
Where:
- Density of diethyl ether = 0.706 g/mL
- Volume of diethyl ether = 3.594 mL
Now, let’s calculate the mass:
[
\text{Mass} = 0.706 \, \text{g/mL} \times 3.594 \, \text{mL}
]
[
\text{Mass} = 2.537 \, \text{g}
]
Thus, the mass of 3.594 mL of diethyl ether is 2.537 grams.
Explanation:
The density of a substance is defined as its mass per unit volume. In this case, the density of diethyl ether is 0.706 g/mL, meaning that for every milliliter of diethyl ether, its mass is 0.706 grams.
To find the total mass of diethyl ether, we multiply its density by the volume in question. This is a direct relationship: if you know the density and volume of a substance, you can easily determine its mass by multiplying the two. In our case, we are given the volume (3.594 mL) and the density (0.706 g/mL) of diethyl ether.
To ensure the correct result, we followed the appropriate unit conversions and multiplication. Since the result is in grams, the final answer is 2.537 grams, rounded to three decimal places.
In conclusion, when you know both the density and the volume of a substance, you can determine its mass easily by using the simple formula, Mass = Density × Volume. This calculation is fundamental in chemistry and is commonly used when dealing with liquids and solids in laboratory work.