mass of sodium thiosulfate pentahydrate: 18.065 g
molar mass of sodium thiosulfate pentahydrate:
248.19 g/mol
volume of diluted solution: 600. mL
calculate the approximate concentration of the thiosulfate
(In the sodium thiosulfate pentahydrate solution there was 0.600g of sodium carbonate also added and dissolved in the water. How is this accounted for mathematically?)
The Correct Answer and Explanation is :
To calculate the concentration of sodium thiosulfate in the solution, we need to first calculate the number of moles of sodium thiosulfate pentahydrate in the solution.
Step 1: Calculate the number of moles of sodium thiosulfate pentahydrate
The mass of sodium thiosulfate pentahydrate is given as 18.065 g, and the molar mass is 248.19 g/mol. The number of moles can be calculated using the formula:
[
\text{moles} = \frac{\text{mass}}{\text{molar mass}}
]
[
\text{moles of sodium thiosulfate pentahydrate} = \frac{18.065 \, \text{g}}{248.19 \, \text{g/mol}} = 0.0728 \, \text{mol}
]
Step 2: Calculate the concentration of sodium thiosulfate
The volume of the diluted solution is given as 600 mL, which is equivalent to 0.600 L. The concentration (C) in mol/L can be calculated by dividing the moles by the volume:
[
C = \frac{\text{moles}}{\text{volume}} = \frac{0.0728 \, \text{mol}}{0.600 \, \text{L}} = 0.1213 \, \text{mol/L}
]
Step 3: Consideration of Sodium Carbonate
Sodium carbonate is another compound dissolved in the solution, with a mass of 0.600 g. To see how it might affect the calculation, we would need to consider its role in the solution. Sodium carbonate can potentially influence the pH or interact with other components, but it does not directly affect the concentration of sodium thiosulfate because they are separate compounds. Since sodium carbonate does not react with sodium thiosulfate to alter the amount of thiosulfate, its presence does not change the concentration calculation of sodium thiosulfate itself.
Therefore, the concentration of sodium thiosulfate in the solution is 0.1213 mol/L.
Let me go ahead and generate an image to visually represent the calculations.
The image above represents the calculation process for determining the concentration of sodium thiosulfate in the solution. It illustrates the mass of sodium thiosulfate pentahydrate, its molar mass, and the final calculated concentration. The presence of sodium carbonate in the solution does not affect the concentration of sodium thiosulfate directly, so it was not included in the concentration formula.
The final concentration of sodium thiosulfate in the diluted solution is 0.1213 mol/L.
