A chemist prepares a solution of sodium thiosulfate (Na, S,O,) by measuring out 121. g of sodium thiosulfate into a 200. mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in mol/L of the chemist's sodium thiosulfate solution. Round your answer to 3 significant digits.
A chemist prepares a solution of sodium thiosulfate (Na, S,O,) by measuring out 121. g of sodium thiosulfate into a 200. mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in mol/L of the chemist's sodium thiosulfate solution. Round your answer to 3 significant digits.
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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![### Preparation of Sodium Thiosulfate Solution
A chemist prepares a solution of sodium thiosulfate (\( \text{Na}_2\text{S}_2\text{O}_3 \)) by measuring out 121 g of sodium thiosulfate and dissolving it in a 200 mL volumetric flask. The flask is then filled to the mark with water to ensure the correct volume of the solution.
### Problem
Calculate the concentration of sodium thiosulfate in the solution in moles per liter (mol/L). Provide your answer rounded to 3 significant digits.
#### Solution Steps:
1. **Determine the Molar Mass of Sodium Thiosulfate:**
\[
\text{Molar mass of } \text{Na}_2\text{S}_2\text{O}_3 = 2(22.99 \text{ g/mol}) + 2(32.07 \text{ g/mol}) + 3(16.00 \text{ g/mol})
\]
\[
= 2(22.99) + 2(32.07) + 3(16.00)
\]
\[
= 45.98 + 64.14 + 48.00
\]
\[
\approx 158.12 \text{ g/mol}
\]
2. **Convert Mass to Moles:**
\[
\text{Moles of } \text{Na}_2\text{S}_2\text{O}_3 = \frac{\text{Mass}}{\text{Molar mass}} = \frac{121 \text{ g}}{158.12 \text{ g/mol}}
\]
\[
\approx 0.765 \text{ moles}
\]
3. **Convert Volume to Liters:**
\[
\text{Volume} = 200 \text{ mL} = 0.200 \text{ L}
\]
4. **Calculate the Concentration:**
\[
\text{Concentration} = \frac{\text{Moles}}{\text{Volume}} = \frac{0.765 \text{ moles}}{0.200 \text{ L}}
\]
\[
\approx 3.825 \text{ mol/L}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41322bcb-03be-44b9-99fe-cebaa9592c9e%2Fc8288628-0d28-4bf1-ad2d-87aaa9d28329%2Fz7bau5_processed.png&w=3840&q=75)
Transcribed Image Text:### Preparation of Sodium Thiosulfate Solution
A chemist prepares a solution of sodium thiosulfate (\( \text{Na}_2\text{S}_2\text{O}_3 \)) by measuring out 121 g of sodium thiosulfate and dissolving it in a 200 mL volumetric flask. The flask is then filled to the mark with water to ensure the correct volume of the solution.
### Problem
Calculate the concentration of sodium thiosulfate in the solution in moles per liter (mol/L). Provide your answer rounded to 3 significant digits.
#### Solution Steps:
1. **Determine the Molar Mass of Sodium Thiosulfate:**
\[
\text{Molar mass of } \text{Na}_2\text{S}_2\text{O}_3 = 2(22.99 \text{ g/mol}) + 2(32.07 \text{ g/mol}) + 3(16.00 \text{ g/mol})
\]
\[
= 2(22.99) + 2(32.07) + 3(16.00)
\]
\[
= 45.98 + 64.14 + 48.00
\]
\[
\approx 158.12 \text{ g/mol}
\]
2. **Convert Mass to Moles:**
\[
\text{Moles of } \text{Na}_2\text{S}_2\text{O}_3 = \frac{\text{Mass}}{\text{Molar mass}} = \frac{121 \text{ g}}{158.12 \text{ g/mol}}
\]
\[
\approx 0.765 \text{ moles}
\]
3. **Convert Volume to Liters:**
\[
\text{Volume} = 200 \text{ mL} = 0.200 \text{ L}
\]
4. **Calculate the Concentration:**
\[
\text{Concentration} = \frac{\text{Moles}}{\text{Volume}} = \frac{0.765 \text{ moles}}{0.200 \text{ L}}
\]
\[
\approx 3.825 \text{ mol/L}
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