6.6Standard Solution
A standard solution is a vital concept in quantitative chemistry because chemical reactions often occur between reactants in aqueous solutions. Just like a commercial syrup dispenser that delivers precise amounts of sugar syrup of known sweetness, chemists require solutions with accurately known concentrations to perform precise experiments and chemical analyses. Standard solutions can be prepared either by dissolving a known mass of a solid solute or by diluting an existing concentrated stock solution.
Learning Objectives
- State the meaning of a standard solution.
- Describe the preparation of a standard solution from a solid substance through an activity.
- Describe the preparation of a standard solution through the dilution of an aqueous solution.
- Explain why certain substances like sodium hydroxide are unsuitable for preparing standard solutions directly.
- Solve numerical problems involving the preparation of standard solutions and the dilution formula \(M_1V_1 = M_2V_2\).
Summary of Standard Solution Preparation: Dissolution vs Dilution
Compare the step-by-step procedures for preparing a standard solution from a solid solute and by dilution of a stock solution.
From Solid
Weigh the calculated mass → dissolve in a beaker → transfer into a volumetric flask → rinse beaker and funnel → top up with a dropper → invert to mix.
By Dilution
Calculate \(V_1\) → pipette the stock solution → transfer into a volumetric flask → top up with a dropper → invert to mix.
Brief Explanation
Understand the key ideas behind standard solutions and their preparation.
Preparation from a Solid
Example: preparing \(250\text{ cm}^3\) of \(1.0\text{ mol dm}^{-3}\) sodium carbonate solution, \(\text{Na}_2\text{CO}_3\).
Number of moles: \(n = \dfrac{MV}{1000}\)
Mass: \(\text{Mass} = n \times \text{molar mass}\)
Key steps: weigh → dissolve → transfer → rinse → top up with dropper → invert.
Preparation by Dilution
Dilution involves adding distilled water to a concentrated stock solution to produce a more dilute solution.
Adding water changes the concentration and total volume, but the number of moles of solute remains constant:
\(M_1V_1 = M_2V_2\)
| Quantity | Meaning |
|---|---|
| \(M_1\) | Molarity of stock solution before dilution |
| \(V_1\) | Volume of stock solution needed |
| \(M_2\) | Molarity of prepared solution after dilution |
| \(V_2\) | Volume of prepared solution after dilution |
Try These Questions First
Answer mentally, then check the explanation.
What is the definition of a standard solution?
Why is solid sodium hydroxide, \(\text{NaOH}\), unsuitable for preparing a standard solution?
Calculate the volume of \(2.0\text{ mol dm}^{-3}\) hydrochloric acid, \(\text{HCl}\), needed to prepare \(250\text{ cm}^3\) of \(0.2\text{ mol dm}^{-3}\) hydrochloric acid.
Common Mistakes
Avoid these errors when preparing standard solutions.
Common Misconceptions
Compare each misconception with the correct fact.
Adding water during dilution decreases the number of moles of solute.
Dilution decreases the concentration of the solution, but the total number of moles of solute remains constant (\(n_1 = n_2\)).
In \(M_1V_1 = M_2V_2\), \(V_2\) represents the volume of water added.
\(V_2\) is the final total volume of the diluted solution (\(V_2 = V_1 + V_{\text{water added}}\)), not just the volume of water added.
The calibration mark can be aligned with the top edges of the water meniscus.
The bottom of the curved meniscus must be aligned with the calibration mark at eye level.
Summary
Key facts to remember.
- A standard solution is a solution whose concentration is accurately known.
- Preparation from a solid involves calculating mass (\(n = \dfrac{MV}{1000}\)), weighing, dissolving in a beaker, transferring into a volumetric flask, rinsing apparatus, making up to the calibration mark with a dropper, and inverting.
- Solid \(\text{NaOH}\) cannot be used directly because it is hygroscopic and reacts with atmospheric \(\text{CO}_2\).
- Dilution relies on the conservation of solute moles: \(M_1V_1 = M_2V_2\).
- A pipette is used to deliver a precise volume of stock solution, and a volumetric flask is used to measure the final volume accurately.
Quick Activity
Complete all parts before checking your score.
A. Objective Quiz
Why must the beaker and filter funnel be rinsed with distilled water during the preparation of a standard solution from a solid?
What is the volume of distilled water that must be added to \(75\text{ cm}^3\) of \(2.0\text{ mol dm}^{-3}\) nitric acid, \(\text{HNO}_3\), to produce a \(1.5\text{ mol dm}^{-3}\) nitric acid solution?
B. Fill in the Blanks
During the dilution of a stock solution, adding distilled water changes the concentration but does not alter the number of ______ of solute.
Sodium hydroxide is not suitable for preparing a standard solution because it absorbs water and is described as being ______.
C. Match the Apparatus with Its Function
Drag each apparatus on desktop. On mobile, tap an apparatus and then tap the matching box.
Apparatus
Volumetric flask Pipette Dropper StopperFunction
Keywords
Tap or hover over a term to read its meaning.