Alright, let's solve this step-by-step to determine the mass of the dry solute recovered. Here's the data given:
- Temperature: [tex]\(30.1^{\circ}\text{C}\)[/tex]
- Mass of the boat (empty): [tex]\(0.730 \, \text{g}\)[/tex]
- Mass of the boat with the solution: [tex]\(0.929 \, \text{g}\)[/tex]
- Mass of the boat with the dry solute: [tex]\(0.816 \, \text{g}\)[/tex]
To find the mass of the dry solute, we need to follow these steps:
1. Calculate the mass of the solution:
[tex]\[
\text{Mass of solution} = \text{Mass of boat with solution} - \text{Mass of empty boat}
\][/tex]
Plugging in the provided values:
[tex]\[
\text{Mass of solution} = 0.929 \, \text{g} - 0.730 \, \text{g}
\][/tex]
[tex]\[
\text{Mass of solution} = 0.199 \, \text{g}
\][/tex]
2. Calculate the mass of the dry solute:
[tex]\[
\text{Mass of dry solute} = \text{Mass of boat with dry solute} - \text{Mass of empty boat}
\][/tex]
Plugging in the provided values:
[tex]\[
\text{Mass of dry solute} = 0.816 \, \text{g} - 0.730 \, \text{g}
\][/tex]
[tex]\[
\text{Mass of dry solute} = 0.086 \, \text{g}
\][/tex]
So, based on the provided data, the mass of the dry solute recovered is [tex]\(0.086 \, \text{g}\)[/tex].
