Tag: further aspects of equilibria

Questions Related to further aspects of equilibria

If concentration of two acids are some, their relative strengths can be compared by:

  1. ${ \alpha } _{ 1 }/{ \alpha } _{ 2 }$

  2. $K _{ 1 }/K _{ 2 }$

  3. ${ \left[ { H }^{ + } \right] } _{ 1 }/{ \left[ { H }^{ + } \right] } _{ 2 }$

  4. $\sqrt { K _{ 1 }/K _{ 2 } } $


Correct Option: A,C,D
Explanation:

Relative strength of two acids can be compared by their degree of dissociation.

$HA\rightleftharpoons H^++A^-$
$C$
$C-C\alpha$   $C\alpha$    $C\alpha$
If concentration of two acids are same so their relative strength can be compared by their $[H^{+}]$ concentration.
$K _a=C\alpha^2$
$\alpha=(K _a/C)^{0.5}$
If concentration of two acids are same so their relative strength can be compared by square root of their dissociation constants.

The solubility of $AgCl$ in $NaCl$ solution is less than that in pure water, because of the  ________.

  1. solubility product of $AgCl$ is less than of $NaCl$

  2. common ion effect

  3. both $A$ and $B$

  4. none of these


Correct Option: B
Explanation:

Since, $NaCl$ is soluble to a very significant extent, when $AgCl$ is added to $NaCl$ solution, the common ion $[Cl^-]$ increases in the solution. To have the solubility product or $K _{sp}$ of $AgCl$ constant, $[Ag^+]$ will decrease or $AgCl$ will percipitate out from the solution. This is common ion effect. Hence solubility of $AgCl$ in $NaCl$ solution will be less than that in pure water.

100 mL of 20.8% $BaCl _2$ solution and 50 mL of 9.8% $H _2SO _4$ solution will form $BaSO _4$
$(Ba=137, Cl=35.5, S=32, H=1, O=16)$
$BaCl _2+H _2SO _4\rightarrow BaSO _4+2HCl$

  1. 23.3 g

  2. 11.65 g

  3. 30.6 g

  4. None of these


Correct Option: B
Explanation:

$100ml$ of $20.8$% $BaCl _2$ solution= $20.8g$  $BaCl _2$

$50ml$ of $9.8$% $H _2SO _4$ solution= $4.9g$  $H _2SO _4$
Reaction: $BaCl _2+H _2SO _4\longrightarrow BaSO _4\downarrow +2HCl$
           $208 g mol^{-1}$   $98 g mol^{-1}$      $233 g mol^{-1}$
$\therefore 98g$ $H _2SO _4$ reacts with $208g$ $BaCl _2$
$4.9g$ $H _2SO _4$ reacts with $\cfrac {208}{98}\times 4.9=10.4 g$ $BaCl _2$
$98g$ $H _2SO _4$ will produce $233g$ $BaSO _4$
$\therefore 4.9g$ $H _2SO _4$ will produce= $\cfrac {233}{98}\times 4.9=11.65g$ $BaSO _4$

The addition of NaCl to AgCl decreases the solubility of AgCl because ________.

  1. Solubility product decreases

  2. Solubility product remains constant.

  3. solution becomes unsaturated

  4. solution becomes super saturated.


Correct Option: D
Explanation:

NaCl is highly soluble and when it is added to AgCl it decreases the solubility of AgCl because of common ion $Cl^-$ and solution become super saturated.

Which of the following solutions display common ion effect?

  1. $HCl+NaCl$

  2. ${ H } _{ 2 }S + KH$

  3. $NaHS+HCl$

  4. ${ H } _{ 2 }{ SO } _{ 4 }+{ K } _{ 2 }S$


Correct Option: A
Explanation:

In common ion effect there should be common ions in the two or more chemicals. Here, $HCl+NaCl$ shows common ion effect. Because $Cl^-$ is common in both.

What is $[{ NH } _{ 4 }^{ + }]$ in a solution containing 0.02M ${ NH } _{ 3 }$ (${ K } _{ b }={ 1.8\times 10 }^{ -5 }$) and 0.01M KOH?



  1. ${ 1.8\times 10 }^{ -5 }$

  2. ${ 9\times 10 }^{ -6 }$

  3. ${ 3.6\times 10 }^{ -5 }$

  4. NONE OF THE ABOVE


Correct Option: C

$As _2S _3$ solution has negative charge, capacity to precipitate is highest in:

  1. $AlCl _3$

  2. $Na _3PO _4$

  3. $CaCl _2$

  4. $K _2SO _4$


Correct Option: A
Explanation:

Solution:- (A) $Al{Cl} _{3}$

According to Hardy-Schulze rule, more is the valence of effective ion, greater is its coagulating power.
Hence ${As} _{2}{S} _{3}$ precipitate the most in $Al{Cl} _{3}$.

At $100^\circ C$, value of $K _{w}$ is 

  1. $1.0\times 10^{-14}\quad m^{2}$

  2. less than $1.0\times 10^{-14}\quad m^{2}$

  3. greater than $1.0\times 10^{-14}\quad m^{2}$

  4. Zero


Correct Option: C
Explanation:

At higher temperature the value of $kw$ increases.This is in according with le-chatelier principle.

At $100^o kw=51.3\times 106{-14}$
C is the correct answer.

The solubility of CaF$ _2$ (K$ _{sp} = 5.3\times 10^{-9}$) in $0.1$ M solution of NaF would be : (Assume no reaction of cation/anion) .

  1. $5.3 \times 10^{-10}$ M

  2. $5.3 \times 10^{-8}$ M

  3. $5.3 \times 10^{-7}$ M

  4. $5.3 \times 10^{-11}$ M


Correct Option: C
Explanation:
$(C)\ 5.3\times 10^{-7}m$

$CaF _2\rightleftharpoons Ca^{2+}+2F^-$

$K _{sp}=[Ca^{}2+][F^-]^2=S(S+0.1)^2=S\times 0.1^2=5.3\times 10^{-9}$

Note: $S<<0.1$ so, $S+ 0.1 \approx 0.1$ 

$\Rightarrow S=5.3\times 10^{-7}\ M$ 

The percentage of pyridine $\left( {{C _5}{H _5}N} \right)$ that forms pyridinum ion $\left( {{C _5}{H _5}{N^ + }H} \right)$ in a $0.10M$ aqueous pyridine solution $\left( Given - {{K _b}, for \  {C _5}{H _5}N = 1.7 \times {{10}^{ - 9}}} \right)$ is    

  1. $0.0060\% $

  2. $0.013\% $

  3. $0.77\% $

  4. $1.6\% $


Correct Option: B