The following solutions are combined:
20 mL of 0.50 M TRIS buffer, pH 7.0
10 mL of 0.25 M KCl
10 mL of 0.30 M sucrose
150 mL dH2O
Calculate the concentration of sucrose in the final solution.
To calculate the concentration of sucrose in the final solution, we need to consider the volume of the final solution and the amount of sucrose present in it.
First, let's calculate the total volume of the final solution by adding up the volumes of all the solutions:
Total Volume = 20 mL (TRIS buffer) + 10 mL (KCl) + 10 mL (sucrose) + 150 mL (dH2O)
Total Volume = 190 mL
Next, let's calculate the amount of sucrose in the final solution by multiplying the concentration of sucrose by its volume:
Amount of Sucrose = 0.30 M (concentration of sucrose) x 10 mL (volume of sucrose)
Amount of Sucrose = 3.00 mmol
Now, we can calculate the concentration of sucrose in the final solution by dividing the amount of sucrose by the total volume:
Concentration of Sucrose = Amount of Sucrose / Total Volume
Concentration of Sucrose = 3.00 mmol / 190 mL
Concentration of Sucrose = 0.0158 M
Therefore, the concentration of sucrose in the final solution is 0.0158 M.
To calculate the concentration of sucrose in the final solution, we need to consider the volumes and concentrations of each component.
1. Calculate the moles of each component:
- Moles of TRIS buffer = volume (in L) × concentration
Moles of TRIS buffer = 20 mL × (0.50 mol/L) / 1000 mL/L
Moles of TRIS buffer = 0.01 mol
- Moles of KCl = volume (in L) × concentration
Moles of KCl = 10 mL × (0.25 mol/L) / 1000 mL/L
Moles of KCl = 0.0025 mol
- Moles of sucrose = volume (in L) × concentration
Moles of sucrose = 10 mL × (0.30 mol/L) / 1000 mL/L
Moles of sucrose = 0.003 mol
2. Calculate the total moles of all components:
Total moles = Moles of TRIS buffer + Moles of KCl + Moles of sucrose
Total moles = 0.01 mol + 0.0025 mol + 0.003 mol
Total moles = 0.0155 mol
3. Calculate the final volume of the solution:
Final volume = volume of TRIS buffer + volume of KCl + volume of sucrose + volume of dH2O
Final volume = 20 mL + 10 mL + 10 mL + 150 mL
Final volume = 190 mL or 0.190 L
4. Calculate the concentration of sucrose in the final solution:
Concentration of sucrose = Moles of sucrose / Final volume
Concentration of sucrose = 0.003 mol / 0.190 L
Concentration of sucrose ≈ 0.0158 M
Therefore, the concentration of sucrose in the final solution is approximately 0.0158 M.