7.) A student titrated 250 cm3 of sodium carbonate with 125.0 cm of 0.35 mol dm hydrochloric acid. Determine the concentration of the sodium carbonate solution.

Chemistry for Today: General, Organic, and Biochemistry
9th Edition
ISBN:9781305960060
Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Chapter9: Acids, Bases, And Salts
Section: Chapter Questions
Problem 9.109E
icon
Related questions
icon
Concept explainers
Question

Can someone help with this question?

### Chemistry Problem: Titration Calculation

#### Problem 7:
A student titrated 250 cm³ of sodium carbonate with 125.0 cm³ of 0.35 mol dm⁻³ hydrochloric acid. Determine the concentration of the sodium carbonate solution.

To solve this problem, use the titration formula and stoichiometry.

**Given:**
- Volume of sodium carbonate solution (V₁) = 250 cm³
- Volume of hydrochloric acid (V₂) = 125.0 cm³
- Concentration of hydrochloric acid (C₂) = 0.35 mol dm⁻³

**Required:**
- Concentration of sodium carbonate solution (C₁)

The balanced chemical equation for the reaction between sodium carbonate (Na₂CO₃) and hydrochloric acid (HCl) is:
\[ \text{Na}_{2}\text{CO}_{3} + 2\text{HCl} \rightarrow 2\text{NaCl} + \text{H}_{2}\text{O} + \text{CO}_{2} \]

From the equation, 1 mole of \( \text{Na}_{2}\text{CO}_{3} \) reacts with 2 moles of \( \text{HCl} \).

**Using the formula for titration:**
\[ C_{1}V_{1} = C_{2}V_{2} \]

\[ C_{1} \times 250 \, \text{cm}^3 = 0.35 \, \text{mol} \, \text{dm}^{-3} \times 125.0 \, \text{cm}^3 \]

However, due to the stoichiometry of the reaction:
\[ \text{Moles of HCl} = 2 \times \text{Moles of }\text{Na}_{2}\text{CO}_{3} \]

So, the equation should be adjusted accordingly:
\[ 2 \times C_{1} \times 250 \, \text{cm}^3 = 0.35 \, \text{mol} \, \text{dm}^{-3} \times 125.0 \, \text{cm}^3 \]

\[ C_{1} = \frac{0.35 \times 125.0}{2 \times 250} \]
Transcribed Image Text:### Chemistry Problem: Titration Calculation #### Problem 7: A student titrated 250 cm³ of sodium carbonate with 125.0 cm³ of 0.35 mol dm⁻³ hydrochloric acid. Determine the concentration of the sodium carbonate solution. To solve this problem, use the titration formula and stoichiometry. **Given:** - Volume of sodium carbonate solution (V₁) = 250 cm³ - Volume of hydrochloric acid (V₂) = 125.0 cm³ - Concentration of hydrochloric acid (C₂) = 0.35 mol dm⁻³ **Required:** - Concentration of sodium carbonate solution (C₁) The balanced chemical equation for the reaction between sodium carbonate (Na₂CO₃) and hydrochloric acid (HCl) is: \[ \text{Na}_{2}\text{CO}_{3} + 2\text{HCl} \rightarrow 2\text{NaCl} + \text{H}_{2}\text{O} + \text{CO}_{2} \] From the equation, 1 mole of \( \text{Na}_{2}\text{CO}_{3} \) reacts with 2 moles of \( \text{HCl} \). **Using the formula for titration:** \[ C_{1}V_{1} = C_{2}V_{2} \] \[ C_{1} \times 250 \, \text{cm}^3 = 0.35 \, \text{mol} \, \text{dm}^{-3} \times 125.0 \, \text{cm}^3 \] However, due to the stoichiometry of the reaction: \[ \text{Moles of HCl} = 2 \times \text{Moles of }\text{Na}_{2}\text{CO}_{3} \] So, the equation should be adjusted accordingly: \[ 2 \times C_{1} \times 250 \, \text{cm}^3 = 0.35 \, \text{mol} \, \text{dm}^{-3} \times 125.0 \, \text{cm}^3 \] \[ C_{1} = \frac{0.35 \times 125.0}{2 \times 250} \]
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Introduction to Organic Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry for Today: General, Organic, and Bioche…
Chemistry for Today: General, Organic, and Bioche…
Chemistry
ISBN:
9781305960060
Author:
Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher:
Cengage Learning