Answer
Verified
402k+ views
Hint: We will solve the solution by dividing it into two cases where we will get to know that the normality and molality will be the same. Thus, applying the formula ${N_1}{V_1} = {N_2}{V_2}$, we will get the values of x and y respectively. Refer to the solution below.
Complete answer:
${N_1}{V_1} = {N_2}{V_2}$, $N = M \times n$.
To find out- the volume of HCl and ${H_2}S{O_3}$.
The volume of HCl is given as – x
The volume of ${H_2}S{O_3}$ is given as – y
The fact about methyl orange is that this indicator indicates only when the reaction is a hundred percent complete.
The reaction of ${H_2}S{O_3}$ will occur as-
$ \Rightarrow {H_2}S{O_3} \to {H^ + } + HS{O_3}^ - $
Thus, it will be ionized. Where, the n factor of the above reaction will be 1 and the normality will be n factor multiplied by molality-
$
\Rightarrow n = 1 \\
\\
\Rightarrow N = M \times n \\
\\
\Rightarrow N = M \\
$
Case 1-
$
\Rightarrow Ba{\left( {OH} \right)_2} \equiv HCl \\
\\
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
$
Where, it is given that-
$
\Rightarrow {N_1} = M \times n \\
\\
\Rightarrow {N_1} = 0.1 \times 2 \\
\\
\Rightarrow {V_1} = 100mL \\
$
And,
$
\Rightarrow {N_2} = M \times n \\
\\
\Rightarrow {N_2} = 0.1 \times 1 \\
\\
\Rightarrow {V_2} = xmL \\
$
Substituting these values in the above equation ${N_1}{V_1} = {N_2}{V_2}$, we get-
$
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
\\
\Rightarrow 0.1 \times 2 \times 100 = x \times 0.1 \times 1 \\
\\
\Rightarrow x = 200mL \\
$
Case 2-
$
\Rightarrow Ba{\left( {OH} \right)_2} \equiv {H_2}S{O_3} \\
\\
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
$
Where, it is given that-
$
\Rightarrow {N_1} = M \times n \\
\\
\Rightarrow {N_1} = 0.1 \times 2 \\
\\
\Rightarrow {V_1} = 100mL \\
$
And,
$
\Rightarrow {N_2} = M \times n \\
\\
\Rightarrow {N_2} = 0.2 \times 1 \\
\\
\Rightarrow {V_2} = ymL \\
$
Substituting these values in the above equation ${N_1}{V_1} = {N_2}{V_2}$, we get-
$
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
\\
\Rightarrow 0.1 \times 2 \times 100 = y \times 0.2 \times 1 \\
\\
\Rightarrow y = 100mL \\
$
Hence, it is clear that option A is the correct option.
Note: Methyl orange, because of its simple and distinct colour variation at various pH levels, is a pH indicator commonly used in titration. In acidic medium and yellow in basic medium Methyl Orange is a red pigment. As the $p{K_a}$ of medium intensity acid switches shades, it usually occurs in acid titration.
Complete answer:
${N_1}{V_1} = {N_2}{V_2}$, $N = M \times n$.
To find out- the volume of HCl and ${H_2}S{O_3}$.
The volume of HCl is given as – x
The volume of ${H_2}S{O_3}$ is given as – y
The fact about methyl orange is that this indicator indicates only when the reaction is a hundred percent complete.
The reaction of ${H_2}S{O_3}$ will occur as-
$ \Rightarrow {H_2}S{O_3} \to {H^ + } + HS{O_3}^ - $
Thus, it will be ionized. Where, the n factor of the above reaction will be 1 and the normality will be n factor multiplied by molality-
$
\Rightarrow n = 1 \\
\\
\Rightarrow N = M \times n \\
\\
\Rightarrow N = M \\
$
Case 1-
$
\Rightarrow Ba{\left( {OH} \right)_2} \equiv HCl \\
\\
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
$
Where, it is given that-
$
\Rightarrow {N_1} = M \times n \\
\\
\Rightarrow {N_1} = 0.1 \times 2 \\
\\
\Rightarrow {V_1} = 100mL \\
$
And,
$
\Rightarrow {N_2} = M \times n \\
\\
\Rightarrow {N_2} = 0.1 \times 1 \\
\\
\Rightarrow {V_2} = xmL \\
$
Substituting these values in the above equation ${N_1}{V_1} = {N_2}{V_2}$, we get-
$
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
\\
\Rightarrow 0.1 \times 2 \times 100 = x \times 0.1 \times 1 \\
\\
\Rightarrow x = 200mL \\
$
Case 2-
$
\Rightarrow Ba{\left( {OH} \right)_2} \equiv {H_2}S{O_3} \\
\\
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
$
Where, it is given that-
$
\Rightarrow {N_1} = M \times n \\
\\
\Rightarrow {N_1} = 0.1 \times 2 \\
\\
\Rightarrow {V_1} = 100mL \\
$
And,
$
\Rightarrow {N_2} = M \times n \\
\\
\Rightarrow {N_2} = 0.2 \times 1 \\
\\
\Rightarrow {V_2} = ymL \\
$
Substituting these values in the above equation ${N_1}{V_1} = {N_2}{V_2}$, we get-
$
\Rightarrow {N_1}{V_1} = {N_2}{V_2} \\
\\
\Rightarrow 0.1 \times 2 \times 100 = y \times 0.2 \times 1 \\
\\
\Rightarrow y = 100mL \\
$
Hence, it is clear that option A is the correct option.
Note: Methyl orange, because of its simple and distinct colour variation at various pH levels, is a pH indicator commonly used in titration. In acidic medium and yellow in basic medium Methyl Orange is a red pigment. As the $p{K_a}$ of medium intensity acid switches shades, it usually occurs in acid titration.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The cell wall of prokaryotes are made up of a Cellulose class 9 biology CBSE
What organs are located on the left side of your body class 11 biology CBSE
Select the word that is correctly spelled a Twelveth class 10 english CBSE
a Tabulate the differences in the characteristics of class 12 chemistry CBSE