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\(0.5 \mathrm{~g}\) of a sample of bleaching powder was suspended in water and excess \(\mathrm{K} 1\) is added. On acidifying with dil. \(\mathrm{H}_{2} \mathrm{SO}_{4}\), \(\mathrm{I}_{2}\) was liberated which required \(50 \mathrm{~mL}\) of \(\mathrm{N} / 10\) hypo \(\left(\mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3} \cdot 5 \mathrm{H}_{2} \mathrm{O}\right) .\) Calculate percentage of available \(\mathrm{Cl}_{2}\) in bleaching powder.

Short Answer

Expert verified
The percentage of available \(\mathrm{Cl}_2\) in bleaching powder is 35.45%.

Step by step solution

01

Understanding the Chemical Reaction

When bleaching powder is treated with KI in the presence of an acidic medium (diluted \(\mathrm{H}_2\mathrm{SO}_4\)), \(\mathrm{Cl}_2\) is liberated. This \(\mathrm{Cl}_2\) reacts with KI to liberate \(\mathrm{I}_2\), which in turn is titrated with sodium thiosulfate (\(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\)). The reaction is as follows:\[\mathrm{Cl}_2 + 2\mathrm{KI} \rightarrow 2\mathrm{KCl} + \mathrm{I}_2\] \[\mathrm{I}_2 + 2\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3 \rightarrow 2\mathrm{NaI} + \mathrm{Na}_2\mathrm{S}_4\mathrm{O}_6\]
02

Calculate Moles of \(\mathrm{I}_2\) Liberated

Since \(50\, \mathrm{mL}\) of \(\frac{N}{10}\) hypo is used for titration, the number of moles of \(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\) is:\[\text{Moles of } \mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3 = \frac{N imes V}{1000} = \frac{0.1 \times 50}{1000} = 0.005\, \text{moles}\]According to reaction stoichiometry, 1 mole of \(\mathrm{I}_2\) reacts with 2 moles of \(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\).So, the moles of \(\mathrm{I}_2\) liberated is half of \(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\):\[\text{Moles of } \mathrm{I}_2 = \frac{0.005}{2} = 0.0025\, \text{moles}\]
03

Determine Moles of \(\mathrm{Cl}_2\) Liberated

From the stoichiometry of the first reaction, 1 mole of \(\mathrm{Cl}_2\) generates 1 mole of \(\mathrm{I}_2\). Thus, moles of \(\mathrm{Cl}_2\) liberated is the same as moles of \(\mathrm{I}_2\):\[\text{Moles of } \mathrm{Cl}_2 = 0.0025\, \text{moles}\]
04

Convert to grams of \(\mathrm{Cl}_2\)

The molar mass of \(\mathrm{Cl}_2\) is \(70.9\, \mathrm{g/mol}\). Thus, the mass of \(\mathrm{Cl}_2\) is:\[\text{Mass of } \mathrm{Cl}_2 = 0.0025 \times 70.9 = 0.17725\, \text{grams}\]
05

Calculate Percentage of Available \(\mathrm{Cl}_2\)

The percentage of \(\mathrm{Cl}_2\) in the bleaching powder is given by the formula:\[\text{Percentage of } \mathrm{Cl}_2 = \left(\frac{\text{Mass of } \mathrm{Cl}_2}{\text{Mass of Sample}}\right) \times 100\]Substituting the values gives:\[\text{Percentage of } \mathrm{Cl}_2 = \left(\frac{0.17725}{0.5}\right) \times 100 = 35.45\%\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Bleaching Powder Reaction
Bleaching powder, also known as calcium hypochlorite, is commonly used as a disinfectant and in the bleaching of fabrics. When it reacts with potassium iodide (\(\mathrm{KI}\)), in the presence of an acidic solution such as diluted sulfuric acid (dil. \(\mathrm{H}_2\mathrm{SO}_4\)), chlorine gas (\(\mathrm{Cl}_2\)) is liberated. This is a crucial process in the qualitative analysis of bleaching powder. The liberated chlorine reacts with \(\mathrm{KI}\) to produce iodine (\(\mathrm{I}_2\)), as shown in the reaction:
  • \(\mathrm{Cl}_2 + 2\mathrm{KI} \rightarrow 2\mathrm{KCl} + \mathrm{I}_2\)
This reaction serves a dual purpose: it confirms the presence of chlorine in the bleaching powder and quantitatively measures it by subsequent steps in the process. By liberating iodine, the reaction showcases a redox process where chlorine acts as an oxidizing agent. This step is essential for analytical purposes as it sets the stage for the titration process that follows.
Moles Calculation
To solve problems in chemistry, calculating moles is a foundational skill. In this exercise, moles help us transition from the reaction of iodine to the chlorination level in bleaching powder. The conversion from volume and concentration to moles is critical:
  • The amount of iodine liberated is determined using sodium thiosulfate solution (Naâ‚‚Sâ‚‚O₃), commonly known as hypo, for titration.
Given the solution used is \(\frac{N}{10}\), with a volume of \(50~\mathrm{mL}\), we find the moles of \(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\) using the formula:\[\text{Moles of Na}_2\mathrm{S}_2\mathrm{O}_3 = \frac{N \times V}{1000} = \frac{0.1 \times 50}{1000} = 0.005\, \text{moles}\]As per reaction stoichiometry, 1 mole of \(\mathrm{I}_2\) needs 2 moles of \(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\). Thus, moles of \(\mathrm{I}_2\) is half:\[\text{Moles of } \mathrm{I}_2 = \frac{0.005}{2} = 0.0025 \text{ moles}\]Accurate calculation of moles helps us in tracking the quantity of substances through a chemical reaction.
Titration Process
Titration is a common laboratory method used to determine the concentration of a solute in solution. In this context, iodometry is used, involving the titration of iodine with a thiosulfate solution.Once iodine is liberated, it is titrated against sodium thiosulfate (\(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\)), which acts as a titrant. The reaction proceeds as:
  • \(\mathrm{I}_2 + 2\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3 \rightarrow 2\mathrm{NaI} + \mathrm{Na}_2\mathrm{S}_4\mathrm{O}_6\)
By measuring how much thiosulfate is required to completely react with the \(\mathrm{I}_2\) formed, one can back-calculate the amount of \(\mathrm{I}_2\) initially present. The endpoint is usually detected with a starch indicator, which forms a blue-black complex with iodine and fades when iodine is completely consumed.Titration allows for precise quantification of the liberated iodine, which in turn, indicates the amount of active chlorine available in the bleaching powder.
Reaction Stoichiometry
Stoichiometry is the calculation of reactants and products in chemical reactions and is based on the balanced chemical equations. It helps us understand the proportions of substances consumed and produced in a reaction.In these reactions:
  • 1 mole of \(\mathrm{Cl}_2\) liberates 1 mole of \(\mathrm{I}_2\), demonstrating a \(1:1\) stoichiometric ratio.
  • Similarly, 1 mole of \(\mathrm{I}_2\) reacts with 2 moles of \(\mathrm{Na}_2\mathrm{S}_2\mathrm{O}_3\) in a \(1:2\) ratio.
These ratios are crucial for determining the amounts of reactants and products involved. Successfully applying stoichiometry in this problem allows the precise calculation of \(\mathrm{Cl}_2\) liberated, as it’s directly related to moles of \(\mathrm{I}_2\).This methodology leads to determining the concentration of chlorine in the bleaching powder sample, ensuring consistency in quantitative chemistry analyses.

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Most popular questions from this chapter

Find the equivalent mass of \(\mathrm{H}_{3} \mathrm{PO}_{4}\) in the reaction $$ \begin{aligned} &\mathrm{Ca}(\mathrm{OH})_{2}+\mathrm{H}_{3} \mathrm{PO}_{4} \longrightarrow \mathrm{CaHPO}_{4}+2 \mathrm{H}_{2} \mathrm{O} \\ &\text { (At. mass } \mathrm{H}=1, \mathrm{O}=16, \mathrm{P}=31, \mathrm{Ca}=40 \text { ) } \end{aligned} $$

\(1.13 \mathrm{~g}\) of an ammonium sulphate were treated with \(50 \mathrm{~mL}\) of normal \(\mathrm{NaOH}\) solution and boiled till no more ammonia was given off. The excess of the alkali solution left over was titrated with normal \(\mathrm{H}_{2} \mathrm{SO}_{4}\). The volume required was \(30 \mathrm{~mL}\). Find out the percentage of \(\mathrm{NH}_{3}\) in the salt.

\(3.0 \mathrm{~g}\) of a sample of impure ammonium chloride were boiled with excess of caustic soda solution. Ammonia gas so evolved was passed into \(120 \mathrm{~mL}\) of \(\mathrm{N} / 2 \mathrm{H}_{2} \mathrm{SO}_{4} .28 \mathrm{~mL}\) of \(\mathrm{N} / 2 \mathrm{NaOH}\) were required to neutralise residual acid. Calculate the percentage of purity of the given sample of ammonium chloride.

A sample of magnesium was burnt in air to give mixture of \(\mathrm{MgO}\) and \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\). The ash was dissolved in 60 meq. of \(\mathrm{HCl}\) and the resulting solution back titrated with \(\mathrm{NaOH} .12 \mathrm{meq}\). of \(\mathrm{NaOH}\) were required to reach the end point. An excess of \(\mathrm{NaOH}\) was then added and the solution distilled. The ammonia released was then trapped in 10 meq. of second acid solution. Back titration of this acid solution required 6 meq. of the base. Calculate percentage magnesium burnt to the nitride. \(\quad\) [Roorkee 1998] [Hint : Let moles of \(\mathrm{Mg}\) used for \(\mathrm{MgO}\) and \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\) are \(x\) and \(\mathrm{y}\) respectively. \(2 \mathrm{Mg}+\mathrm{O}_{2} \longrightarrow 2 \mathrm{MgO}\) \(3 \mathrm{Mg}+\mathrm{N}_{2} \longrightarrow \mathrm{Mg}_{3} \mathrm{~N}_{2}\) Moles of \(\mathrm{MgO}=x\), Moles of \(\mathrm{Mg}_{3} \mathrm{~N}_{2}=y / 3\) \(\mathrm{MgO}+2 \mathrm{HCl} \longrightarrow \mathrm{MgCl}_{2}+\mathrm{H}_{2} \mathrm{O}\) \(\mathrm{Mg}_{3} \mathrm{~N}_{2}+8 \mathrm{HCl} \longrightarrow 3 \mathrm{MgCl}_{2}+2 \mathrm{NH}_{4} \mathrm{Cl}\) tion will contain \(x\) moles of \(\mathrm{MgCl}_{2}\) and \(2 y / 3\) moles of \(\mathrm{NH}_{4} \mathrm{Cl}\). Moles of \(\mathrm{HCl}\) used \(=2 x+8 y / 3\) for \(\mathrm{MgO}\) and \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\) \(2 x+\frac{8 y}{3}=60-12=48 \quad \ldots\) (i) Moles of \(\mathrm{NH}_{4} \mathrm{Cl}\) formed \(=\) moles of \(\mathrm{NH}_{3}\) \(=\) moles of HCl used to absorb \(\mathrm{NH}_{3}\) \(2 y / 3=4\) \(y=6\) From eq. (i) \(2 x+\frac{8 \times 6}{3}=48\) 5 \(\% \mathrm{Mg}\) used for \(\mathrm{Mg}_{3} \mathrm{~N}_{2}\) Page 1

If \(40 \mathrm{~mL}\) of \(0.1 \mathrm{~N} \mathrm{KOH}\) is mixed \(60 \mathrm{~mL}\) of \(0.05 \mathrm{~N} \mathrm{HCl}\), what will be the normality of the resulting solution? What will be the normality of salt formed after the reaction?

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