Answer
405.3k+ views
Hint: The answer to this question includes the basic chemistry formulas of molarity, molality and mole fraction given by molarity =$\dfrac{{{n}_{solute}}\times 1000}{volume}$, molality= $\dfrac{{{n}_{solute}}\times 1000}{{{M}_{KI}}}$ and mole fraction=${{\chi }_{KI}}=\dfrac{{{n}_{KI}}}{{{n}_{KI}}+{{n}_{{{H}_{2}}O}}}$
Complete answer:
We know from the basic concepts of chemistry that molarity of the solution is the ratio of number of moles of solute present in one litre of solution. From this definition, we can write the formula as,
a) Molarity= $\dfrac{{{n}_{solute}}\times 1000}{volume}$ …..(1)
Now, 20% mass by mass means 20g of $KI$is present in 100g of solution which is given by,
${{W}_{KI}}=20g$ and ${{W}_{{{H}_{2}}O}}=100-20=80g$ ……(2)
Since, in the question density is given we can write it as,
Density=$\dfrac{mass}{volume}$
Rearranging the above equation we have, Volume=$\dfrac{mass}{density}$
Substituting this in the equation number (1)
Molarity=$\dfrac{{{n}_{solute}}\times 1000}{{{\left( \dfrac{mass}{density} \right)}_{solution}}}$
Substituting values from equation (2) and that of density value, we get
Molarity=$\dfrac{20\times 1.202\times 1000}{166\times 100}$ [Since, molar mass of $KI$=166 g]
$\Rightarrow $ Molarity =1.448 M
b)Next we shall calculate molality of solution which is defined as ratio of number of moles of solute in 1kg of solvent which is given as,
Molality= $\dfrac{{{n}_{solute}}\times 1000}{{{M}_{KI}}}$
\[\Rightarrow \] Molality = $\dfrac{20\times 100}{166\times 80}$ [since weight of solvent=80g]
Therefore, molality=1.5 mol/kg
c) Mole fraction is defined as Ratio of one constituent to the total number of all constituents in a mixture. Therefore we can write as,
Mole fraction of $KI$,${{\chi }_{KI}}=\dfrac{{{n}_{KI}}}{{{n}_{KI}}+{{n}_{{{H}_{2}}O}}}$
\[\Rightarrow {{\chi }_{KI}}=\dfrac{\left( {20}/{166}\; \right)}{\left( {20}/{166}\; \right)+\left( {80}/{18}\; \right)}\]= $\dfrac{0.12}{0.12+4.44}$=0.0263
Thus, mole fraction of $KI$= 0.0263
Therefore, we have a) molarity of solution=1.448M , molality of solution = 1.5mol/kg and mole fraction = 0.0263
Note:
Most of the times students go wrong in writing units for the mole fraction same as that of molarity or molality. You should keep in mind the fact that mole fraction do not have any units since moth the units gets cancelled and it is just a numerical.
Complete answer:
We know from the basic concepts of chemistry that molarity of the solution is the ratio of number of moles of solute present in one litre of solution. From this definition, we can write the formula as,
a) Molarity= $\dfrac{{{n}_{solute}}\times 1000}{volume}$ …..(1)
Now, 20% mass by mass means 20g of $KI$is present in 100g of solution which is given by,
${{W}_{KI}}=20g$ and ${{W}_{{{H}_{2}}O}}=100-20=80g$ ……(2)
Since, in the question density is given we can write it as,
Density=$\dfrac{mass}{volume}$
Rearranging the above equation we have, Volume=$\dfrac{mass}{density}$
Substituting this in the equation number (1)
Molarity=$\dfrac{{{n}_{solute}}\times 1000}{{{\left( \dfrac{mass}{density} \right)}_{solution}}}$
Substituting values from equation (2) and that of density value, we get
Molarity=$\dfrac{20\times 1.202\times 1000}{166\times 100}$ [Since, molar mass of $KI$=166 g]
$\Rightarrow $ Molarity =1.448 M
b)Next we shall calculate molality of solution which is defined as ratio of number of moles of solute in 1kg of solvent which is given as,
Molality= $\dfrac{{{n}_{solute}}\times 1000}{{{M}_{KI}}}$
\[\Rightarrow \] Molality = $\dfrac{20\times 100}{166\times 80}$ [since weight of solvent=80g]
Therefore, molality=1.5 mol/kg
c) Mole fraction is defined as Ratio of one constituent to the total number of all constituents in a mixture. Therefore we can write as,
Mole fraction of $KI$,${{\chi }_{KI}}=\dfrac{{{n}_{KI}}}{{{n}_{KI}}+{{n}_{{{H}_{2}}O}}}$
\[\Rightarrow {{\chi }_{KI}}=\dfrac{\left( {20}/{166}\; \right)}{\left( {20}/{166}\; \right)+\left( {80}/{18}\; \right)}\]= $\dfrac{0.12}{0.12+4.44}$=0.0263
Thus, mole fraction of $KI$= 0.0263
Therefore, we have a) molarity of solution=1.448M , molality of solution = 1.5mol/kg and mole fraction = 0.0263
Note:
Most of the times students go wrong in writing units for the mole fraction same as that of molarity or molality. You should keep in mind the fact that mole fraction do not have any units since moth the units gets cancelled and it is just a numerical.
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)