Answer
405.3k+ views
Hint: It is a redox reaction which involves the gain and loss of the electrons and first we have to find the normality by equalizing the milliequivalents of both as $milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=milliequivalents\text{ o}f\text{ }F{{e}^{3+}}$ and then from here we can find the normality of $F{{e}^{+3}}$ and then by applying the molarity formula as: $Molarity=\dfrac{normality}{no.\text{ of electrons involved}}$ we can easily find the concentration of the iron in the vitamin solution. Now solve it.
Complete step by step solution:
When potassium dichromate is made to react with the iron supplement, it undergoes redox reaction (i.e. those reactions in which one is oxidized at the cost of the other which undergoes reduction). The chromate ion undergoes reduction i.e. it gains the electrons whereas the iron undergoes oxidation i.e. it loses electrons. The redox reaction occurs as;
$C{{r}_{2}}O_{7}^{2-}+F{{e}^{2+}}+14{{H}^{+}}\to 2C{{r}^{3+}}+F{{e}^{3+}}+7{{H}_{2}}O$
So, from this reaction, we can see that the chromium gains electrons and changes its oxidation state. The reaction occurs as;
$6{{e}^{-}}+C{{r}_{2}}O_{7}^{2-}\to 2C{{r}^{3+}}$ (1)
And iron loses electrons and undergoes change in the oxidation state. The reaction is supposed to occur as;
$F{{e}^{2+}}\to F{{e}^{3+}}+{{e}^{-}}$ (2)
Now, since it is a redox reaction, then ;
$milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=milliequivalents\text{ o}f\text{ }F{{e}^{3+}}$ (3)
$milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=volume\times normality\times no.\text{ }of\text{ }electrons\text{ }involved$
Volume of $C{{r}_{2}}O_{7}^{2-}=20\text{ }ml$(given)
Normality of $C{{r}_{2}}O_{7}^{2-}=0.1$(given)
from the equation (1), we can see that the number of electrons involved are 6. Then;
$milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=20\times 0.1\times 6=12$
Similarly, $milliequivalents\text{ o}f\text{ }F{{e}^{3+}}=10\times N\times 1$
Now, put these values in equation (3), we get;
$\begin{align}
& 12=10N \\
& N=1.2 \\
\end{align}$
Applying the molarity formula as, we can find the concentration of iron as;
$Molarity=\dfrac{normality}{no.\text{ of electrons involved}}$
As we know that :
$\begin{align}
& normality=1.2 \\
& no.\text{ }of\text{ }electrons\ involved=1\text{ }\left( given \right) \\
\end{align}$
The,
$Molarity=\dfrac{1.2}{1}=1.2M$
Hence, when$20\text{ }ml$ of $0.1M$${{K}_{2}}C{{r}_{2}}{{O}_{7}}$ is titrated with $10\text{ }ml$ of a liquid iron supplement then the concentration of iron in the vitamin solution is $1.2M$.
So, option (a) is correct.
Note: Don’t get confused in the words molarity and normality. By the molarity we mean the no. of moles of the solute to the total volume of the solution in liters . On the other hand, by the term normality, we mean the no. of moles of gram equivalent of the solute to total volume of the solution in liters.
Complete step by step solution:
When potassium dichromate is made to react with the iron supplement, it undergoes redox reaction (i.e. those reactions in which one is oxidized at the cost of the other which undergoes reduction). The chromate ion undergoes reduction i.e. it gains the electrons whereas the iron undergoes oxidation i.e. it loses electrons. The redox reaction occurs as;
$C{{r}_{2}}O_{7}^{2-}+F{{e}^{2+}}+14{{H}^{+}}\to 2C{{r}^{3+}}+F{{e}^{3+}}+7{{H}_{2}}O$
So, from this reaction, we can see that the chromium gains electrons and changes its oxidation state. The reaction occurs as;
$6{{e}^{-}}+C{{r}_{2}}O_{7}^{2-}\to 2C{{r}^{3+}}$ (1)
And iron loses electrons and undergoes change in the oxidation state. The reaction is supposed to occur as;
$F{{e}^{2+}}\to F{{e}^{3+}}+{{e}^{-}}$ (2)
Now, since it is a redox reaction, then ;
$milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=milliequivalents\text{ o}f\text{ }F{{e}^{3+}}$ (3)
$milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=volume\times normality\times no.\text{ }of\text{ }electrons\text{ }involved$
Volume of $C{{r}_{2}}O_{7}^{2-}=20\text{ }ml$(given)
Normality of $C{{r}_{2}}O_{7}^{2-}=0.1$(given)
from the equation (1), we can see that the number of electrons involved are 6. Then;
$milliequivalents\text{ }of\text{ }C{{r}_{2}}O_{7}^{2-}=20\times 0.1\times 6=12$
Similarly, $milliequivalents\text{ o}f\text{ }F{{e}^{3+}}=10\times N\times 1$
Now, put these values in equation (3), we get;
$\begin{align}
& 12=10N \\
& N=1.2 \\
\end{align}$
Applying the molarity formula as, we can find the concentration of iron as;
$Molarity=\dfrac{normality}{no.\text{ of electrons involved}}$
As we know that :
$\begin{align}
& normality=1.2 \\
& no.\text{ }of\text{ }electrons\ involved=1\text{ }\left( given \right) \\
\end{align}$
The,
$Molarity=\dfrac{1.2}{1}=1.2M$
Hence, when$20\text{ }ml$ of $0.1M$${{K}_{2}}C{{r}_{2}}{{O}_{7}}$ is titrated with $10\text{ }ml$ of a liquid iron supplement then the concentration of iron in the vitamin solution is $1.2M$.
So, option (a) is correct.
Note: Don’t get confused in the words molarity and normality. By the molarity we mean the no. of moles of the solute to the total volume of the solution in liters . On the other hand, by the term normality, we mean the no. of moles of gram equivalent of the solute to total volume of the solution in liters.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)