To determine the mass of the dry solute at the given temperature, we need to follow these steps methodically:
1. Identify the given data:
- Boat Mass: This is the mass of the boat alone, which is [tex]\(0.710 \, g\)[/tex].
- Boat + Solution Mass: This is the combined mass of the boat and the solution, which is [tex]\(0.915 \, g\)[/tex].
- Boat + Dry Mass: This is the combined mass of the boat and the dry solute after the solution has evaporated, which is [tex]\(0.817 \, g\)[/tex].
2. Calculate the mass of the solution:
- To find the mass of the solution, subtract the mass of the boat from the mass of the boat with the solution.
[tex]\[
\text{Mass of Solution} = (\text{Boat + Solution Mass}) - (\text{Boat Mass})
\][/tex]
Substituting the known values:
[tex]\[
\text{Mass of Solution} = 0.915 \, g - 0.710 \, g = 0.205 \, g
\][/tex]
3. Calculate the mass of the dry solute:
- To find the mass of the dry solute, subtract the mass of the boat from the mass of the boat with the dry solute.
[tex]\[
\text{Mass of Dry Solute} = (\text{Boat + Dry Mass}) - (\text{Boat Mass})
\][/tex]
Substituting the known values:
[tex]\[
\text{Mass of Dry Solute} = 0.817 \, g - 0.710 \, g = 0.107 \, g
\][/tex]
So, based on the calculations:
- The mass of the solution is [tex]\(0.205 \, g\)[/tex].
- The mass of the dry solute is [tex]\(0.107 \, g\)[/tex].
Thus, the mass of the dry solute at the given temperature is [tex]\(0.107 \, g\)[/tex].
