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451.

Ionisation constant of `CH_(3)COOH` is `1.7 xx 10^(-5)` and concentration fo `H^(+)` in certain acetic acid solution is `3.4 xx 10^(-4) M` . The concentration of acetic acid solution isA. `3.4 xx 10^(-4)M`B. `3.4 xx 10^(-3)M`C. ``6.8 xx 10^(-4)M`D. `6.8 xx 10^(-3)M`

Answer» Correct Answer - D
For a weak monobasric acid
`K_(a)=Calpha^(2)`
`K_(a)=C alpha.alpha=[H^(+)]alpha`
`alpha=(K_(a))/([H^(+)])`
`=(1.7 xx 10^(-4))/(3.4 xx 10^(-4)) =5 xx 10^(-2)`
`C alpha =[H^(+)]=3.4 xx10^(-4)`
`C=(3.4 xx 10^(-4))/(alpha)`
`=6.8 xx 10^(-3) M`
452.

For every diprotic acid of the type `H_(2)X`, how would you relate ionisation constant `K_(a1)` and `K_(a2)`A. `K_(a1)=K_(a2)`B. `K_(a1) lt K_(a2)`C. `K_(a2) lt K_(a1)`D. Data is insufficient

Answer» Correct Answer - C
For diprotic acid `K_(a_(2))lt K_(a_(1))`.
453.

Ionisation constant of `CH_(3)COOH` is `1.7xx10^(-5)` and concentration of `H^(+)ions` is `3.4xx10^(-4)`. Then, find out initial concentration of `CH_(3)COOH` molecules.A. `3.4xx10^(-4)`B. `3.4xx10^(-3)`C. `6.8xx10^(-4)`D. `6.8xx10^(-3)`

Answer» Correct Answer - D
`CH_(3)COOH hArr CH_(3)COO^(-)+H^(+)`
`K_(a)=([CH_(3)COO^(-)][H^(+)])/([CH_(3)COOH])`
Given that,
`[CH_(3)COO^(-)]=[H^(+)]=3.4xx10^(-4)M`
`K_(a)` for `CH_(3)COOH=1.7xx10^(-5)`
`CH_(3)COOH` is weak acid, so in it `[CH_(3)COOH]` is equal to initial concentration. Hence,
`1.7xx10^(-5)=((3.4xx10^(-4))(3.4xx10^(-4)))/([CH_(3)COOH])`
`[CH_(3)COOH]=(3.4xx10^(-4)xx3.4xx10^(-4))/(1.7xx10^(-5))`
`=6.8xx10^(-3)M`
454.

Which of the following statements about pH and `H^(+)` ion concentration is incorrect ?A. Addition of one drop of concentrated HCl in `NH_(4)OH` solution decreases pH of the solutionB. A solution of the mixture of one equivalent of each of `CH_(3)COOH` and NaOH has a pH of 7.C. pH of pure neutral water is not zeroD. A cold and concentrated `H_(2)SO_(4)` has lower `H^(+)` ion concentration than a dilute solution of `H_(2)SO_(4)`.

Answer» Correct Answer - B
`CH_(3)COOH` is weak acid while NaOH is strong base, so one equivalent of NaOH cannot be neutralised with one equivalent of `CH_(3)COOH`. Hence, one equivalent of each does not have pH value 7. As the NaOH is a strong base, the solution will be basic having a pH more than 7.
455.

Which of the following statements (s) is (are) correct?A. The `pH` of `1.0 xx 10^(-8)M` solution of `HCI` is `8`.B. The conjugate base of `H_(2)PO_(4)^(Theta)` is `HPO_(4)^(-2)`.C. Autoprotoysis constant of water increases with temperature.D. When a solution of weak monoprotic acid is titrated against a strong base, at half-neutralisation, point `pH =(1//2) pK_(a)`.

Answer» Correct Answer - B::C
456.

The solubility of `AgI` in `NaI` solutions is less than that in pure water because:A. `AgI` forms complex with `NaI`B. Of common ion effectC. Solubility product of `AgI` is less than that of `NaI`.D. The temperature of the solution decreases.

Answer» Correct Answer - B
457.

A 50.0 mL sample of a 1.00 M solution of a diprotic acid `H_(2)A(K_(a1)=1.0xx10^(-6) " and " K_(a2)=1.0xx10^(-10))` is titrated with 2.00 M NaOH. What is the minimum volume of 2.00 M NaOH needed to reach a pH of 10.00 ?A. 12.5 mLB. 37.5 mLC. 25.0 mLD. 50.0 mL

Answer» Correct Answer - b
458.

Which one of the following is true for any diprotic acid, `H_(2)X`?A. `K_(a_(2))=K_(a_(1))`B. `K_(a_(2))gt K_(a_(1))`C. `K_(a_(2))lt K_(a_(1))`D. `K_(a_(2))=(1)/(K_(a_(1)))`

Answer» Correct Answer - C
`H_(2)X hArr H^(+)+HX^(-)(K_(a_(1)))`
`HX^(-)hArr +X^(2-)(K_(a_(2)))`
In Ist equation hydrogen ion is formed from neutral molecule whereas in Iind equation it comes from negatively charged species. Due to negative charge removal of proton is difficult.
So, `K_(a_(1))gt K_(a_(2))`
459.

Which one of the following is true for any diprotic acid, `H_(2)X`?A. `K_(a_(2)) gt K_(a_(1))`B. `K_(a_(1)) gt K_(a_(2))`C. `K_(a_(2)) = (1)/(K_(a_(1)))`D. `K_(a_(2)) = K_(a_(1))`

Answer» Correct Answer - B
460.

A solution of a weak monoprotic acid has dissociation constant `K_(a)`. The minimum initial concentration `C` such that the concentration of the undissociated acid can be equated to `C` within an error of `1%` would beA. `9900 K_(a)`B. `10000K_(a)`C. `99K_(a)`D. `K_(a)`

Answer» Correct Answer - A
`K_(a) = (C alpha^(2))/((1-alpha))`
For `%` error: `alpha = 0.01`
`K_(a) = (C(0.01)^(2))/((1-0.01)) = (C xx 10^(-4))/(0.99)`
`C rArr (K_(a)xx 0.99)/(10^(-4))`
`rArr 9900 K_(a)`
461.

`pOH` water is `7.0at 298 K`. If water is heated to `350K`, which of the following should be ture?A. `pOH` will decreaseB. `pOH` will increaseC. `pOH` will remain sevenD. Concentration of `H^(o+)` ions will increae but that of `overset(Theta)OH` will decrease.

Answer» Correct Answer - A
On heating `H_(2)O` at `350K`, the selt ionisation of `H_(2)O`, increases
`H_(2)O +H_(2)O hArr H_(3)O^(o+) + overset(Theta)OH`
So the concentration of `[H_(3)O^(o+)]` and `[overset(Theta)OH]` both increases, so the `pH` increases or `pOH` decreases.
462.

Assertion `(A ) :` Acetic acid is a weak acid Reason `(R ) :` Its conjugate base is weakA. Both A and R true and R is the correct explanation of AB. Both A and R are true but R is not a correct explanation of AC. A is true but R is falseD. A is false but R is true

Answer» Correct Answer - C
463.

Conjugate base of `[Al(H_(2)O)_(6)]^(3+)` isA. `[Al(H_(2)O)_(5)OH]^(3+)`B. `[Al(H_(2)O)_(6)]^(2+)`C. `[Al(H_(2)O)_(5)OH]^(2+)`D. `[Al(H_(2)O)_(5)OH]^(+)`

Answer» Correct Answer - C
464.

If the ionic product of water is `1.96 xx 10^(-14)` at `35^(0)C`,What is the value at `10^(0)C`A. `2.95 xx 10^(-14)`B. `1.96 xx 10^(-7)`C. `2.95 xx 10^(-15)`D. `3.9 xx 10^(-12)`

Answer» Correct Answer - C
465.

The `K_(w)` for `2H_(2)O hArr H_(3)O^(+)_OH^(-)` changes from `10^(-14)` at `25^(@)C` to `9.62xx10^(-14)` at `60^(@)C`. What is pH of water at `60^(@)C` ? What happens to its neutrality ?

Answer» Correct Answer - `6.51`,
466.

A cetrain ion `B^(-)` has an Arrhenius constant for basic character (eq. constnat `2.8xx10^(-7)`). The equilibrium constant for Lowry-Bronsed basic character is:A. `2.8xx10^(-7)`B. `3.57xx10^(-8)`C. `3.57xx10^(8)`D. `2.8xx10^(7)`

Answer» Correct Answer - D
`B^(-)underset("Bronsted base")(+H^(+))hArr HB, K_(b)=2.8xx10^(-7)`
`= ([HB])/([B^(-)][H^(+)])` …..(i)
`B^(-)underset("Arrhenius base")(+H_(2)O)hArr HB+OH^(-)`,
`K_(a)= ([HB][OH^(-)])/([B^(-)])` ….(ii)
By eqs. (i) and (ii),
`(K_(a))/(K_(b))= ([HB][OH^(-)])/([B^(-)])xx([B^(-)][H^(+)])/([HB])`
`= [H^(+)][OH^(-)]= K_(w)` .....(iii)
`:. K_(b)= (K_(a))/(K_(w)) = (2.8xx10^(-7))/(10^(-14))=2.8xx10^(7)`
467.

The solubility product constant `(K_(sp))` of salts of types `MX, MX_(2)`, and `M_(3)X` at temperature `T` are `4.0 xx 10^(-8), 3.2 xx 10^(-14)`, and `2.7 xx 10^(-15)`, respectively. The solubilities of the salts at temperature `T` are in the orderA. `MXgt MX_(2)gt M_(3)X`B. `M_(3)gtMX_(2)gtMX`C. `MX_(2)gtM_(3)XgtMX`D. `MXgtM_(3)XgtMX_(2)`

Answer» Correct Answer - D
`MX rarr underset(s)(M^(+))+underset(s)(X),`
`K_(sp)=s^(2)`
or `s=sqrt(K_(sp))=sqrt(4xx10^(-8))=2xx10^(-4)M`
`MX_(x)hArr underset((s))(M^(2+))+underset((2s))(2X^(-)),`
`K_(sp)=s(2s)^(2)=4s^(3)`
`:. s=(K_(sp)//4)^(1//3)=((3/2xx10^(-14))/(4))^(1//3)=2 xx 10^(-5)M`
`M_(3)X hArr underset(3s)(3M^(+))+underset(s)(X^(3-)),`
`K_(sp)=(3s)^(3)s=27s^(4)`
`:. s=((K_(sp))/(27))^(1//4)`
`=(2.7 xx 10^(-15))/(27)=10^(-4)M`
`:. MX gt M_(3)X gt Mx_(2)`
`2 xx 10^(-4) gt 10^(-4) gt 2 xx 10^(-5)`
468.

The solubility product constant `(K_(sp))` of salts of types `MX, MX_(2)`, and `M_(3)X` at temperature `T` are `4.0 xx 10^(-8), 3.2 xx 10^(-14)`, and `2.7 xx 10^(-15)`, respectively. The solubilities of the salts at temperature `T` are in the orderA. `MX gt MX_(2) gt M_(3)X`B. `M_(3)X gt MX_(2) gt MX`C. `MX_(2) gt M_(3)X gt MX`D. `MX gt M_(3)X gt MX_(2)`

Answer» Correct Answer - D
Solubilities cannot be directly calculated because ail these salts have different formula.
`{:("Salt","Solubility product","Solubility"),(MX,S^(2)=4.0 xx10^(-8),S=2 xx10^(-4)),(MX,4S^(3)=3.2 xx10^(-14),S=2 xx10^(-5)),(M_(3)X,27 S^(4)=2.7 xx10^(-15),S=1 xx10^(-4)):}`
Order of solubility `= MX gt M_(2)X gt MX_(2)`
469.

A solution of `CaF_(2)` is found to contain `4 xx 10^(-4)M` of `F^(Theta)`, `K_(sp)` of `CaF_(2)` isA. `3.2 xx 10^(-11)`B. `0.8 xx 10^(-11)`C. `6.4 xx 10^(-11)`D. `32 xx 10^(-11)`

Answer» Correct Answer - A
`{:(CaF_(2)hArr,Ca^(2+),2F^(Theta)),(,x,2x):}`
Total concentration of `[F^(Theta)] = 4 xx 10^(-4)M`
`:.2x = 4 xx 10^(-4)`
`x = 2 xx 10^(-4)`
`:. K_(sp) = 4x^(3) = 4 xx (2xx 10^(-4))^(3) = 3.2 xx 10^(-11)`
470.

At what `pH` will a `10^(-3)M` solution fo indicator with `K_(b) = 10^(-10)` changes colour?A. `10`B. `4.0`C. `3`D. `7`

Answer» Correct Answer - B
An acid base indicator changes its colour when `pH = pK_(a) or pOH = pK_(b)`.
`:. K_(b) = 10^(-10), pK_(b) = 10`
`:. pOH = 10, pH = 14 - 10 = 4`
`pH = 4`
471.

From separate solution of four sodium salt NaW, Nax, NaY and NaZ had pH 7.0 , 9.0 , 10 . 0 and 11.0 respectively , when each solution was 0.1 M , the weakest acid is :-A. HWB. HXC. HYD. HZ

Answer» Correct Answer - 4
472.

The `pH` of `0.1M` solution of the following salts decreases in the orderA. `HCl gt NaCl gt NH_(4)Cl gt NaCN`B. `HCl gt NaCN gt NH_(4)Cl gt NaCl`C. `NaCN gt NaCl gt NH_(4)Cl gt HCl`D. `NH_(4)Cl gt NaCN gt NaCl gt HCl`

Answer» Correct Answer - C
`NaC1` (Salt of `S_(A)//S_(B)): pH = 7`
`NaCN` (Salt of `W_(A)//S_(B)): pH gt 7`
`HC1 (S_(A)): pH lt lt 7`
`NH_(4)C1` (Salt of `S_(A)//W_(B)) : pH lt 7`.
Hence the order is (c).
`NaCN gt NaC1 gt NH_(4)C1 gt HC1`
473.

The `pH` of `0.1M` solution of the following salts decreases in the orderA. `NaCI lt NH_(4) CI lt NaCN lt HCI`B. `HCI lt NH_(4) CI ltNaCI lt NaCN`C. `NaCN lt NH_(4) CI lt NaCI lt HCI`D. `HCI lt NaCIlt NaCN lt NH_(4) CI`

Answer» Correct Answer - B
The Characterstics of the given solutions are:
`NaCI` Neutral solution (Salt of `S_(A)//S_(B))`
`NH_(4)CI` Slightly acidic sue to the reaction (Salt of `W_(B)//S_(A))`
`NH_(4)^(o+) +NH_(4)OH +H^(o+)`
`NaCN` Slightly alkaline due to the reaction (Salt of `S_(B)//W_(A))`
`CN^(Theta) +H_(2)O hArr HCN +OH`
`HCI` highly acidic
The `pH` of the solution will follow the order highly acidic lt slightly acidic lt neutral lt slightly alkaline.
i.e., `HCI lt NH_(4)CI lt NaCI lt NaCN`
474.

It is found that `0.1M` solution of three sodium salts `NaX, NaY`, and `NaZ` have Ph 7.0, 9.0 and 11.0, respectively. Arrange the acids (HX, HY, and HZ) in order of increasing acidic character. Calculate dissociation constant of acids.

Answer» `{:(NaX+H_(2)Orarr"No hydrolysis",,"bacause",pH =7.0,),(NaY+H_(2)OrarrNaOH+HY,,,pH=9.0,),(NaZ+H_(2)OrarrNaOH+HZ,,,pH=11.0,):}`
Thus, acidic character order for acids is : `HX gt HY gt HZ`
Also for `NaY, [overset(Theta)OH] = 10^(-5) because pH = 9 :. pOH = 5`
`Ch 10^(-5)`
`C.sqrt((K_(h))/(c)) = 10^(-5)` or `C.sqrt((K_(h)xxC)/(K_(a))) = 10^(-5)`
`(10^(-14)xx0.1)/(K_(a)) = 10^(-10), :. K_(a)` for `HY = 10^(-5)`
Similarly, `K_(a) for HZ = 10^(-9)`
475.

Four acids `HA,HB,HC` and `HD` form salts with `NaOH` of `Ph` 7,8,9 and 10 respectively when each solution was `0.1M`, the strongest acid is `:`A. `HA`B. `HB`C. `HC`D. `HD`

Answer» Correct Answer - 1
`{:("Salts",,pH),(NaA,,7),(NaB,,8),(NaC,,9),(NaD,,10):}`
`A^(-)` is the weakest conjugate base. Hence, HA will be strongest acid
476.

Which of the following salts will five highest pH in waterA. `Na_(2)CO_(3)`B. `CuSO_(4)`C. `KCl`D. `NaCl`

Answer» Correct Answer - A
Salt of strong base and weak acid.
477.

A solution has `pOH` equal to `13` at `298 K`. The solution will beA. Highly acidicB. Highly basicC. Moderatly basicD. Unpredictable

Answer» Correct Answer - A
`pOH = 13, pH = 14 - 13 = 1`.
Hence, solution is highly acidic.
478.

From separate solutions of sodium salts, `NaW`, `NaX`, `NaY` and `NaZ` have `pH 7.0`, `9.0`, `10.0` and `11.0` respectively. When each solution was `0.1 M`, the strongest acid is:A. HWB. HXC. HYD. HZ

Answer» Correct Answer - a
479.

The `pH` of `0.1M` solution of the following salts decreases in the orderA. NaCN lt `NH_4Cl` lt NaCN lt HClB. HCl lt `NH_4Cl` lt NCl lt NaCNC. NaCN lt `NH_4Cl` lt NaCl lt HClD. HCl lt NaCl lt NaCN lt `NH_4Cl`

Answer» Correct Answer - b
480.

A pair of salts are given in a solution each is 0.1 M in concentration. Which solution has a higher pH ?A. NaCN and NaOBrB. NaF and NaOClC. NaF and NaOBrD. NaCN and NaOCl

Answer» Correct Answer - a
481.

Which of the following salts will give highest `pH` in water?A. KClB. NaClC. `Na_(2)CO_(3)`D. `CuSO_(4)`

Answer» Correct Answer - C
The highest pH refers to the basic solution containing `OH^(-)` ions. Therefore, the basic salt releasing more `OH^(-)` ions on hydrolysis will give highest pH in water. Only the salt of strong base and weak acid would release more `OH^(-)` ion on hydrolysis. Among the given salts, `Na_(2)CO_(3)` corresponds to the basic salt as it is formed by the neutralisation of NaOH [strong base] and `H_(2)CO_(3)` [weak acid]. `CO_(3)^(2-)+H_(2)O hArr HCO_(3)^(-)+OH^(-)`
482.

In 0.02 M solution of perchlorid acid `(HClO_(4))` at 298 K the sum of pH and pOH is equal toA. 14B. 7C. between 6 and 7D. cannot be predicted

Answer» Correct Answer - A
For any solution at 298 K , pH `+pOH =14`.
483.

In aqueous solution, `H_(2)SO_(4)` and `HClO_(4)` are Equally strong. This is becauseA. Their basicities are sameB. Both are oxy acids of non-metalsC. Both have lower molecular weightsD. Levelling effect of water

Answer» Correct Answer - D
Water levels all strong acids to the strengh of `H_(3)O^(+)`
484.

Arrange the acids (I) `H_(2)SO_(3) (II) H_(3)PO_(3) (III) HClO_(3)` in the decreasing order of acidityA. `I gt III gt II`B. `I gt II gt III`C. `II gt III gt I`D. `III gt I gt II`

Answer» Correct Answer - D
Acidity is directly proportional to oxidation number. As the O. No. of S, P and Cl in `H_(2)SO_(3), H_(3)PO_(4)` & `HClO_(3)` is +4, +3 & +5 repsectively so decreasing order of acidity will be `III gt I gt II`.
485.

Match column-I (Solution of salts of salts of...) with column-II (pH of the solution is given by):

Answer» Correct Answer - a-s; b-r; c-q; d-p
486.

Which of the following salts when added to pure water will not alter its `P^(H)`A. Ammonium cyanideB. Ferric chlorideC. Potassium cyanideD. Borax

Answer» Correct Answer - A
`NH_(4)CN` is a salt of weak acid and weak base and `k_(a) = k_(b)`
487.

The hydronium ion concentration in pure water is `1xx10^(-7) ` mol `L^(-1)`. The degree of dissociation of water isA. `1.8 xx 10^(-9)`B. `0.8 xx 10^(-8)`C. `9.8 xx 10^(-6)`D. `3xx10^(-9)`

Answer» Correct Answer - A
If `alpha` is degree of dissociation
`H_(2)OhArr H^(+) +OH^(-)`
Initial conc. `C mol L^(-1)`
Equi. Conc. `C(a-alpha)" "Calpha" "Calpha`
`[H^(+)]=Calpha` or `alpha=([H^(+)])/(C )=(1xx10^(-7))/(55.5)`
`=1.8 xx 10^(-9)`
488.

Our of `HClO_(4)` and `H_(2)SO_(4)`, which is a stronger acid in an aqueous solutionA. `HClO_(4)`B. `H_(2)SO_(4)`C. Both are equally strongD. Strength depends on concentration

Answer» Correct Answer - C
Factual question.
489.

The pH of the solutions produced by mixing equal volumes of `2.0 xx 10^(-3) M HClO_(4)` and `1.0 xx 10^(-2) MKClO_(4)` isA. 2.7B. 2.3C. `3.0`D. `1.0`

Answer» Correct Answer - C
`H^(+)` ions obtained only from `HClO_(4)` which ionises completely ( being a strong acid ). Equal volume of `KClO_(4)` solution added reduces `(H^(+))` ions to half `3.0`
`:. |H^(+)|=(2xx10^(-3))/(2)`
Hence `pH =-log (10^(-3))=3.0`
490.

Which of the following salts will not undergo hydrolysis in water?A. Sodium sulphateB. Ammonium sulphateC. Aluminimum sulphateD. All the salts will hydrolyse

Answer» Correct Answer - A
Salt of `S_(A)//S_(B)` do not undergo hydrolysis. So `Na_(2)SO_(4)` is a salt of `S_(A)//S_(B)`.
491.

Which of the following salts will not change the `pH` of pure water on dissociation?A. `KCI`B. `AICI_(3)`C. `Na_(2)CO_(3)`D. `AI_(2)(SO_(4))_(3)`

Answer» Correct Answer - A
Salt of `S_(A)//S_(B)` do not hydrolyse in `H_(2)O`. So `pH` does not change on adding KCI to `H_(2)O`.
492.

The following equilibrium is established when `HC1O_(4)` is dissolved in weak acid `HF`, `HF+HClO_(4)hArrClO_(4)^(-)+H_(2)F^(+)` Which of the following is correct set of conjugate acid base pair?A. `HF` and `HCIO_(4)`B. `HF` and `CIO_(4)^(-)`C. `HF` and `H_(2)F`D. `HCIO_(4)` &`H_(2)F^(+)`

Answer» Conjugate acid base pair are differ by an proton `(H^(+))`
`underset(acid)(H_(2)F^(+))overset(-H^(+))rarr underset(base)(HF)`
493.

In the following reaction `HC_(2)O_(4)^(-)(aq)+PO_(4)^(3-)(aq)hArrHPO_(4)^(-2)(aq)+C_(2)O_(4)^(2-)(aq)`, which are the two Bronsted bases?A. `HC_(2)O_(4)^(-)` and `PO_(4)^(3-)`B. `HPO_(4)^(2-)` and `C_(2)O_(4)^(2-)`C. `PO_(4)^(3-)` and `C_(2)O_(4)^(2-)`D. `HC_(2)O_(4)^(-)` and `HPO_(4)^(2-)`

Answer» Correct Answer - C
Both possess the tendency to accept proton.
494.

The solubility of `CaCO_(3)` is `7mg//L`. Calculate the `K_(sp)` of `BaCO_(3)` whne `Na_(2)CO_(3)` is added slowely a solution containing equimolar concentration of `Ca^(2+)` and `Ba^(2+)` and no precipitate is formed until `90%` of `Ba^(2+)` has beem precipitated as `BaCO_(3)`.

Answer» Correct Answer - `4.9xx10^(-10);`
495.

To separate and identify the ionis in a mixutre that may contain `Pb^(2+), Cu^(2+)` and `Mg^(2+)` use the reagents `H_(2)S, HCI` and NaOH. They should be added in the order:A. `HCI, H_(2)S, NaOH`B. `H_(2)S, HCI, NaOH`C. `HCI, NaOH, H_(2)S`D. `NaOH, H_(2)S, HCI`

Answer» Correct Answer - A
HCI precipitates `Pb^(2+)` only, `H_(2)S` precipitates `Pb^(2+)` and `Cu^(2+)` and `NaOH precipitates all.
496.

Among the mixutre (i) `50 ml` of `N//10 HCl + 50 ml` of `N//10 NaOH` (ii) `55 ml` of `N//10 HCl + 45 ml` of `N//10 NaOH` (iii) `75 ml` of `N//10 HCl + 25 ml` of `N//10 NaOH` (iv) `30 ml` of `N//5 HCl + 70 ml` of `N//5 NaOH` For how many of the above mixutres pH lies between 1 to 7

Answer» Correct Answer - 2
497.

The solubility product of a soluble salt `A_(x)B_(y)` is given by: `K_(SP)= [A^(y+)]^(x) [B^(x-)]^(y)`. As soon as the product of concentration of `A^(y+)` and `B^(x-)` increases than its `K_(SP)`, the salt start precipitation. It may practically be noticed that AgCI is more soluble in water and its solublity decreases dramatically in `0.1M NaCI` or `0.1M AgNO_(3)` solution. It may therefore be conncluded that in presence of a common ion, the solubiolity of salt decreases. Equal volumes of two solutions are mixed. The one in which `CaSO_(4) (K_(SP)= 2.4xx10^(-5))` is precipitated, is :A. `0.02M CaCI_(2)+0.0004M Na_(2)SO_(4)`B. `0.01M CaCI_(2)+0.0004M Na_(2)SO_(4)`C. `0.02M CaCI_(2)+0.0002M Na_(2)SO_(4)`D. `0.03M CaCI_(2)+0.004M Na_(2)SO_(4)`

Answer» Correct Answer - D
`[Cu^(2+)][SO_(4)^(2-)]= (0.03xxV)/(2V)xx[(0.004xxV)/(2V)]`
`=3xx10^(-5)gt K_(SP)`
Thus precipitation.
498.

The ionisation constant of dimethylamine is `5.4xx10^(-4)`. Calculate its degree of ionization in its `0.02M` solution. What percentage of dimethylamine is ionized if the solution is also `0.1 M` in `NaOH`?

Answer» `underset("base")((CH_(3))_(2)NH_(2))+H_(2)O hArr underset("acid")((CH_(3))_(2)NH_(3)^(+))+OH^(-)`
`K_(b)= ([(CH_(3))_(2)NH_(3)^(+)][OH^(-)])/([(CH_(3))_(2)NH_(2)])`
`= (Calpha. Calpha)/(C(1-alpha))=(Calpha^(2))/((1-alpha))`
`5.4xx10^(-4)=0.02xxalpha^(2)`
Since `alpha gt 0.05`, we will use `K_(b) = (C alpha^(2))/((1-alpha))`
or `5.4xx10^(-4)= (0.02xxalpha^(2))/((1-alpha))`
Now `alpha = 0.151`
In presence of `NaOH`, the dissociation of diethylamine will decrease due to common ion effect. Thus `0.1+Calpha = 0.1` and `1-alpha ~= 1`
Thus `K_(b)= 5.4xx10^(-4)= (Calphaxx(0.1+Calpha))/(C(1-alpha))`
or `alpha= 5.4xx10^(-3) = 0.0054`
499.

The solubility product of a soluble salt `A_(x)B_(y)` is given by: `K_(SP)= [A^(y+)]^(x) [B^(x-)]^(y)`. As soon as the product of concentration of `A^(y+)` and `B^(x-)` increases than its `K_(SP)`, the salt start precipitation. It may practically be noticed that AgCI is more soluble in water and its solublity decreases dramatically in `0.1M NaCI` or `0.1M AgNO_(3)` solution. It may therefore be conncluded that in presence of a common ion, the solubiolity of salt decreases. Which of the following statement is wrong ? (1) `K_(SP)` of a salt depends upon temperature (2) `K_(SP)` of a salt has no units (3) The `K_(SP)` of salt `A_(x)B_(y)` can be given as: `x^(x).y^(y)(S)^(x+y)` (4) Solubility of `BaF_(2)` in a solution of `Ba(NO_(3))_(2)` can be given by `(1)/(2)[F^(-)]`A. 1B. 2C. 3D. 4

Answer» Correct Answer - B
`K_(SP)` has unit `["mole lirtre"^(-1)]^(x+y)`
500.

The solubility product of a soluble salt `A_(x)B_(y)` is given by: `K_(SP)= [A^(y+)]^(x) [B^(x-)]^(y)`. As soon as the product of concentration of `A^(y+)` and `B^(x-)` increases than its `K_(SP)`, the salt start precipitation. It may practically be noticed that AgCI is more soluble in water and its solublity decreases dramatically in `0.1M NaCI` or `0.1M AgNO_(3)` solution. It may therefore be conncluded that in presence of a common ion, the solubiolity of salt decreases. The pH of a saturated solution of `Mg(OH)_(2)` is: `(K_(SP) of Mg(OH)_(2)= 1xx10^(-11))`A. 9B. `3.87`C. `10.43`D. 5

Answer» Correct Answer - C
`Mg(OH)_(2)hArr underset(S)(Mg^(2+))+underset(2S)(2OH^(-)) (K_(SP)=4S^(3))`
`[OH^(-)]=2S=2xx3sqrt((K_(SP))/(4))`
`= 2xx3sqrt((1xx10^(-11))/(4))`
`=2xx1.36xx10^(-4)= 2.72xx10^(-4)`
`:. pOH = 3.565`
`:. pH=10.435`