a. The density of ether is 0.736 g/mL. What is the volume in mL of 350g of ether?
The Correct Answer and Explanation is :
Solution:
The formula to calculate the volume (VV) when mass (mm) and density (dd) are known is: V=mdV = \frac{m}{d}
Here:
- m=350 gm = 350 \, \text{g}
- d=0.736 g/mLd = 0.736 \, \text{g/mL}
Substitute the values into the formula: V=3500.736=475.54 mLV = \frac{350}{0.736} = 475.54 \, \text{mL}
So, the volume of ether is 475.54 mL.
Explanation:
Density is defined as the mass of a substance per unit volume. It is expressed as: d=mVd = \frac{m}{V}
From this relationship, we can rearrange the formula to solve for volume if mass and density are given: V=mdV = \frac{m}{d}
This formula works because density describes how much mass occupies a specific volume. If we know the total mass and how tightly packed the material is (its density), dividing the mass by the density gives us the space (volume) that the material occupies.
In this problem:
- Ether has a density of 0.736 g/mL0.736 \, \text{g/mL}, meaning that every milliliter of ether weighs 0.736 g0.736 \, \text{g}.
- The total mass of ether is 350 g350 \, \text{g}, and we want to find how many milliliters this corresponds to.
When we divide the total mass (350 g350 \, \text{g}) by the density (0.736 g/mL0.736 \, \text{g/mL}), we essentially calculate how many units of 0.736 g0.736 \, \text{g} fit into 350 g350 \, \text{g}, which gives us the total volume in milliliters.
This calculation assumes uniform density and no external factors (like temperature or pressure) affecting the density of ether. This result, 475.54 mL475.54 \, \text{mL}, tells us the space 350 g350 \, \text{g} of ether would occupy under these conditions.