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
10th Edition
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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.
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY