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151.

At `25^(@)C`, the solubility product of `Hg_(2)Cl_(2)` in water is `3.2 xx 10^(-17) mol^(3) dm^(-9)`. What is the solubility of `Hg_(2)Cl_(2)` in water `25^(@)C`A. `1.2 xx 10^(-12)M`B. `3.0 xx 10^(-6) M`C. `2 xx 10^(-6) M`D. `1.2 xx 10^(-16) M`

Answer» Correct Answer - C
Here `Hg_(2)Cl_(2) rarr Hg_(2)^(2+) + 2Cl^(-)`
Let the concentration of `Hg_(2)^(2+)` be = x
Now, for each `Hg_(2)^(2+)` ion, two `Cl^(-)` ions are produced
`:.` Concentration of `Cl^(-)` ions = 2x
`K_(sp) = [Hg_(2)^(2+)][Cl^(-)]^(2)`
`x(2x)^(2) = 3.2 xx 10^(-17) rArr 4x^(3) = 32 xx 10^(-18)`
`rArr x^(3) = (32)/(4) xx 10^(-18) :. x = 2 xx 10^(-6) M`
152.

At ` 25^(@)` C, the solubility product of `Hg_(2)CI_(2)` in water is `3.2xx10^(-17)mol^(3)dm^(-9)` what is the solubility of `Hg_(2)CI_(2)` in water at `25^(@)`C ?A. `1.2 xx 10^(-12)M`B. `3.0 xx 10^(-6) M`C. `2 xx 10^(-6) M`D. ` 1.2 xx 10^(-16)M`

Answer» Correct Answer - C
`underset(x)(Hg_(2)Cl_(2)) hArr underset(s)(Hg_(2)^(2+))+underset(2s)(2Cl^(-))`
`K_(sp)=s(2s)^(2)=4s^(3)`
`:. s=(K_(sp)//4)^(1//3)=(3.2 xx 10^(-17))^(1//3)`
`=(8 xx 10^(-18))^(1//3)=2 xx 10^(-6) M`.
153.

Consider the reaction `:` `SO_(2)(g)+(1)/(2)O_(2)(g) rarr SO_(3)(g),DeltaH=-98.3kJ` If the enthalpy of formationof `SO_(3)(g)` is `-395.4kJ` , then the enthalpy of formation of `SO_92)(g)` isA. `297.1kJ`B. `493.7kJ`C. `-493.7kJ`D. `-297.1kJ`

Answer» Correct Answer - D
For formation of `SO_(3)(g)`.
`S+3//2O_(2) rarr SO_(3), Delta H =395.4 kJ`
Subtract the given equation from the above and hence `Delta H =395.4+98.3= - 297.1 kJ`
154.

Calculate the concentration of `overset(Θ)OH` in the solution of base with `pH` a. `10.4771` b. `12.301` c. `11.8451`

Answer» Since the solution are basic, so first calculate `pOH` of the solution and then calculate `[overset(Θ)OH]` accordingly.
a. `pH = 10.4771`
`pOH = 14 - 10.4771 3.5229`
`pOH =- log [overset(Θ)OH] = 3.5229`
`:. log [overset(Θ)OH] =- 3.5229 =- 3 - 0.5229 +1 - 1`
`= bar(4).4771`
`:. [overset(Θ)OH] = "Antilog" (bar(4).4771)`
`= 3 xx 10^(-4) = 0.3 xx 10^(-3) N`
c. `pH = 12.301`
`pOH = 14 - 12.301 = 1.699`
`pOH =- log [overset(Θ)OH] = 1.699`
`:. log [overset(Θ)OH] =- 1.699 =- 1 - 0.699 +1 - 1`
`= bar(2).301`
`:. [overset(Θ)OH] = "Antilog" (bar(2).301)`
`= 2 xx 10^(-2)N = 0.2 xx 10^(-1)N`
d. `pH = 11.8451`
`pOH = 14 - 11.8461 = 2.1549`
`pOH =- log [overset(Θ)OH] =- 2.1549 =- 2 - 0.1549 +1 - 1`
`= bar(3).8451`
`:. [overset(Θ)OH] = "Antilog" (bar(3).8451)`
`= 7 xx 10^(-3) N = 0.7 xx 10^(-2) N`
155.

The `pH` of blood isA. `gt 10`B. Between `8` and `0`C. Between `7` and `8`D. `lt6`

Answer» Correct Answer - C
Blood is basic with `pH = 7.4`.
156.

The species `H_(2)O, HCO_(3)^(Θ), HSO_(4)^(Θ), NH_(3)` can act both as Brddotosted acis and bases. For each case give the corresponding conjugate acid and conjugate base.

Answer» `{:(,"Species",C_(A),C_(B)),("i".,H_(2)O,H_(3)O^(oplus),overset(Theta)(O)H),("ii".,HCO_(3)^(Theta),H_(2)CO_(3),CO_(3)^(2-)),("iii".,HSO_(4)^(Theta),H_(2)SO_(4),SO_(4)^(2-)),("iv".,NH_(3),overset(oplus)(N)H_(4),overset(Theta)(N)H_(2)):}`
157.

A buffer solution is prepared in which the concentration of `NH_(3)` is 0.30 M and the concentration of `NH_(4)^(+)` is 0.20 M. If the equilibrium constant, `K_(b)` for `NH_(3)` equals `1.8 xx 10^(-5)`, what is the pH of this solution (log 2.7 = 043)A. 8.73B. 9.08C. 9.43D. 11.72

Answer» Correct Answer - C
`pOH = pK_(b) log.(["Salt"])/(["Base"])`
`= 4.74 + log.(0.20)/(0.30) = 4.74 + (0.301 - 0.477)`
`= 4.74 - 0.176 = 4.56 :. pH = 14- 4.56 = 9.44`.
158.

Find the concentration of `H^(o+), HCO_(3)^(Θ)`, and `CO_(3)^(-2)` in a `0.01M` solution of carbonic acid if the `pH` of solution is `4.18`. `K_(1) = 4.45 xx 10^(-7),K_(2) = 4.69 xx 10^(-11)`

Answer» Given, `pH = 4.18 =- log [H^(o+)]`
`:. [H^(o+)] = 6.61 xx 10^(-5) molL^(-1)`
`H_(2)CO_(3) hArr H^(oplus)+HCO_(3)^(Theta)`
`K_(1) = ([H^(o+)][HCO_(3)^( Θ)])/([H_(2)CO_(3)])`
or `4.45 xx 10^(-7) = ([6.61xx10^(-5)][HCO_(3)^(Θ)])/([0.01])`
or `[HCO_(3)^(Θ)] = 6.73 xx 10^(-5) molL^(-1)`
Again for dissociation of `HCO_(3)^(Θ)`, we have
`[HCO_(3)^(Theta)]hArr H^(oplus)+CO_(3)^(2-)`
`K_(2)=([H^(o+)][CO_(3)^(2-)])/([HCO_(3)^(Θ)])`
or `4.69 xx 10^(-11) = ([6.61 xx 10^(-5)][CO_(3)^(2)])/([6.73xx10^(-5)])`
`[CO_(3)^(2-)] = 4.78 xx 10^(-11) molL^(-1)`
159.

The `pH` of blood is `7,4`. If the buffer in blood constitute `CO_(2)` and `HCO_(3)^(Theta)` ions, calculate the ratio of conjugate base of acid `(H_(2)CO_(3))` to maintain the `pH` of blood. Given `K_(1)` of `H_(2)CO_(3) = 4.5 xx 10^(-7)`.A. `11.25`B. `10.0`C. `8.5`D. None

Answer» Correct Answer - A
`CO_(2) + H_(2)O hArr H_(2)CO_(3) hArr H^(o+) + HCO_(3)^(Theta)`
`K_(1) = ([H^(o+)][HCO_(3)^(Theta)])/([H_(2)CO_(3)]) = ([H^(o+)][HCO_(3)^(Theta)])/([CO_(2)])`
`(K_(1))/([H^(o+)]) = ([HCO_(3)^(Theta)])/([CO_(2)]) = (["Conjugate base"])/(["Acid"])`
`pH = 7.4, log [H^(o+)] =- 7 - 0.4 + 1- 1 = bar(8).6`
`:. [H^(o+)] = "Antilog" (bar(8).6) = 4 xx 10^(-8)`
`:. ([HCO_(3)^(Theta)])/([CO_(2)]) = (K_(1))/([H^(o+)]) = (4.5 xx 10^(-7))/(4xx10^(-8)) = 11.25`
160.

The conjugate acid of `HPO_(3)^(2-)` isA. `H_(3)PO_(4)`B. `H_(3)PO_(3)`C. `H_(2)PO_(3)^(-)`D. `PO_(4)^(3-)`

Answer» Correct Answer - C
`underset("conjugate acid")(H_(2)PO_(3)^(-) hArr H^(+) + HPO_(3)^(2-)` action.
161.

A buffer solution is prepared in which the concentration of `NH_(3)` is `0.30 M` and the concentration of `NH_(4)^(+)` is `0.20 M`. If the equilibrium constant, `K_(b)` for `NH_(3)` equals `1.8xx10^(-5)`, what is the `pH` of this solution? (`log 2.7=0.43`)A. 9.08B. 9.43C. 11.72D. 8.73

Answer» Correct Answer - B
`pOH=pK_(b)+log.(|NH_(3)^(+)|)/(|NH_(3)|)`
`=-log (1.8 xx 10^(-5))+log. (0.2)/(0.3)`
`=4.74 +log .(0.2)/(0.2)=4.56`
`pH ==14-4.56=9.44`
162.

The pH of the a solution containing `0.4 M HCO_(3)^(-)` is : `[K_(a_(1)) (H_(2)CO_(3)) = 4 xx 10^(-7), K_(a_(2)) (HCO_(3)^(-)) = 4 xx 10^(-11)]`A. `10.4`B. `10.1`C. `6.1`D. `8.4`

Answer» Correct Answer - D
`P^(H) = (P^(ka_(1)) + P^(ka_(2)))/(2)`
163.

In the reaction `SnCl_(2)+2Cl^(-) rarr SnCl_(4)`, Lewis acid isA. `SnCl_(2)`B. `Cl^(-)`C. `SnCl_(4)`D. None of these

Answer» Correct Answer - A
Because `SnCl_(2)` is a electron acceptor according to Lewis concept.
164.

In the reaction `SnCl_(2) + 2Cl^(-) rarr SnCl_(4) + 2e^(-)` the Lewis acid isA. `SnCl`B. `SnCl_(3)`C. `SnCl_(2)`D. `SnCl_(4)`

Answer» Correct Answer - C
Lone pair aceptor is lewis acid
165.

A weak acid of dissociation constant `10^(-5)` is being titrated with aqueous NaOH solution. The pH at the point of one-third neutralization of the acid will beA. `5 + log 2 - log 3`B. 5 - log 2C. 5 - log 3D. 5 - log 6

Answer» Correct Answer - B
166.

A weak acid of dissociation constant `10^(-5)` is being titrated with aqueous NaOH solution . The pH at the point of one third of neutralization of the acid will beA. `5 + log - log 3`B. `5- log 2`C. `5- log 3`D. `5- log 6`

Answer» Correct Answer - B
On partial neutralization of weak acid, salt is formed. Hence it becomes buffer
`:. pH =pK_(a)+log. (|"Salt"|)/(|"Acid"|).`
`1//3` rd neutralization of the acid means out of 1 mole of the acid, salt formed is `= 1//3 ` mole of acid left `=2//3` mole
`:. pH =-log (10^(-5))+log.(1//3)/(2//3)`
`=5+log.(1)/(2)=5-log 2`
167.

0.1 M formic acid solution is titrated against 0.1 M NaOH solution. What would be the difference in pH between 1/5 and 4/5 stages of neutralization of acid?A. `2 "log" 3//4`B. `2 "log" 1//5`C. `"log" 1//3`D. `2 "log" 4`

Answer» Correct Answer - D
Solution is acidic buffer at both stages. Difference in `P^(H)` (at` 4//5` and `1//5`) `= log 4 - "log" (1)/(4)`
`= 2 log 4`
168.

When `15mL` of `0.05M AgNO_(3)` is mixed with `45.0mL` of `0.03M K_(2)CrO_(4)`, predict whether precipitation of `Ag_(2)CrO_(4)` occurs or not? `K_(sp)` of `Ag_(2)CrO_(4) = 1.9 xx 10^(-12)`

Answer» First find the concentrations of `Ag^(o+)` and `CrO_(4)6(2-)` ions in the resulting mixture.
`[Ag^(o+)] = (15 xx 0.05)/(15+45) = 1.25 xx 10^(-2)M`
`[CrO_(4)^(2-)] = (45 xx 0.03)/(15+45) = 2.25 xx 10^(-2)M`
The ionic product for `Ag_(2)CrO_(4)` is given as follows:
`Ag_(2)CrO_(4) hArr 2Ag^(oplus)+CrO_(4)^(2-)`
Ionic product `= [Ag^(o+)]^(2) [CrO_(4)^(2-)]`
`= (1.25 xx 10^(-2))^(2) (2.15 xx 10^(-2))`
`= 3.51 xx 10^(-6) gt K_(sp)`
Hence, precipiation occurs.
169.

`[Cl^(-)]` in a mixture of 200mL of 0.01 M HCl and 100 mL of 0.01 M `BaCl_(2)` isA. 0.01M `NaHCO_(3)^(-)`B. 0.0122MC. 0.03MD. 0.02M

Answer» Correct Answer - B
`BaCl_(2) rarr Ba^(2+)+2Cl^(-)` ltbr. `[Cl^(-)]` in 0.01 M `BaCl_(2)=0.02 M`
`[Cl^(-)]` in the mixture `=(200xx0.01 +100xx0.02)/(300)` ,brgt `=0.0133M`
170.

The pH of a solution obtained by mixing 50 ml of 0.4 N HCl and 50 mL of 0.2 N NaOH is :A. 13B. 12C. `1.0`D. `2.0`

Answer» Correct Answer - c
171.

Which of the following will decreases the pH of a 50 ml solution of 0.01 M HClA. Addition of 5 ml of 1 M HCLB. Addition of 50 ml of 0.01 M HClC. Addition of 50 mL of 0.002 M HClD. Addition of Mg

Answer» Correct Answer - A
Addition of 5ml of 1M HCl will decrease the pH, because only this will increase the `H^(+)` ion concentration in the solution.
172.

The pH of a solution obtained by mixing 50 ml of 1 N HCl and 30 ml of 1 N NaOH is [log 2.5 = 0.3979]A. 3.979B. 0.6021C. 12.042D. 1.2042

Answer» Correct Answer - B
No. of milli equivalent of `NaOH = 30 xx 1 = 30`
No. of milli equivalent of `HCl = 50 xx 1 = 50`
`:.` No. of milli equivalent of HCl left after titration = 50 - 30 = 20.
Total volume of the mixture = 50 + 30 = 80 ml
i.e. 20 milli equivalent or 0.02 equivalent of HCl are present in 80 ml.
`:.` 250 milli equivalent or 0.25 equivalent of HCl are present in 1000 ml or 1 litre.
i.e., `0.25 N HCl ~~ 0.25 N NaOH` (Monobasic)
So, `[H^(+)] = -log_(10)[2.5 xx 10^(-1)] rArr pH = 1 - log_(10)[0.25]`
`pH = -log_(10)[2.5 xx 10^(-2) rArr pH = 1 - log_(10)2.5`
`pH = 1 - 0.3979 rArr pH = 0.6021`.
173.

The `pK_(a)` of a weak acid, `HA`, is `4.80`. The `pK_(b)` of a weak base, `BOH`, is `4.78`. The `pH` of an aqueous solution of the corresponding salt, `BA`, will be:A. `8.58`B. `4.79`C. `7.01`D. `9.22`

Answer» Correct Answer - C
It is a salt of weak acid and weak base.
`pH= 7+(1)/(2)(pK_(a)-pK_(b))`
`= 7+(1)/(2)(4.8-4.78)`
`= 7.01`
174.

The `pK_(a)` of a weak acid, `HA`, is `4.80`. The `pK_(b)` of a weak base, `BOH`, is `4.78`. The `pH` of an aqueous solution of the corresponding salt, `BA`, will be:A. `4.79`B. `7.01`C. `9.22`D. `9.58`

Answer» `pH=7+(1)/(2)pK_(a)-(1)/(2)pK_(b)=7+(4.8)/(2)-(4.78)/(2)=7.01`
175.

The `pK_(a)` of a weak acid, `HA`, is `4.80`. The `pK_(b)` of a weak base, `BOH`, is `4.78`. The `pH` of an aqueous solution of the corresponding salt, `BA`, will be:A. 4.79B. 7.01C. 9.22D. 9.58

Answer» Correct Answer - b
176.

Equal volumes of `0.02M AgNO_(3)` and `0.01M HCN` are mixed. Calculate `[Ag^(o+)]` in solution after attaining equilibrium. `K_(a) HCN = 6.2 xx 10^(-10)` and `K_(sp)` of `AgCN = 2.2 xx 10^(-16)`.

Answer» Solution: `{:(,Ag^(o+)+,HCNrarr,AgCN+,H^(o+)),("Initial",(0.02xxV)/(2V),(0.02xxV)/(2V),0,0),("Final",0,0,0.01,0.01):}`
`AgCN hArr Ag^(o+) +CN^(Theta)`
`:. K_(sp) = 2.2 xx 10^(-16) = [Ag^(o+)] [CN^(Theta)]`
`HCN hArr H^(o+) + CN^(Theta) K_(a) = 6.2 xx 10^(-10) = ([H^(o+)][CN^(Theta)])/([HCN])`
Now, soluble `CN^(Theta)` formed will hydrolyses as
`CN^(Theta) + H_(2)O hArr HCN + overset(Theta)OH`
`:. [Ag^(o+)]` of soluble `AgCN = CN^(Theta)` left after hydrolysis `+HCN` formed after hydrolysis
`:. [(2.2 xx 10^(-10))/([CN^(Theta)])] = [CN^(Theta)] + ([H^(o+)][CN^(Theta)])/(6.2 xx 10^(-10))`
`= [CN^(Theta)] + (10^(-2)[CN^(Theta)])/(6.2 xx 10^(-10)) [because CN^(Theta)lt lt lt (10^(-2)[CN^(Theta)])/(6.2xx10^(-10))]`
or `[CN^(Theta)]^(2) = (2.2xx10^(-16)xx6.2xx10^(-10))/(10^(-2))`
`:. [CN^(Theta)] = 3.7 xx 10^(-12)`
`:. [Ag^(o+)] = (K_(sp))/([CN^(Theta)]) = (2.2 xx 10^(-16))/(3.7xx10^(-12)) = 5.96 xx 10^(-5)M`
177.

The `pk_(a)` of a weak acid, HA is 4.8. The `pK_(b)` of a weak base, BOH is 4.78. The pH of an aqueous solution of the corresponding salt, BA will beA. 4.79B. 7.01C. 9.22D. 9.58

Answer» Correct Answer - B
`pK_(a) = 4.8 , pK_(b) = 4.78`
`pH = 7+(1)/(2)(pK_(a) - pK_(b)) = 7 + (1)/(2)(4.8 - 4.78) = 7.01`.
178.

Calculate `[H^(+)], [CH_(3)COO^(-)]` and `[C_(7)H_(8)O_(2)^(-)]` in a solution that is `0.02M` in acetic acid and `0.01M` in benzoic acid. `(K_(a_(A A))= 1.8xx10^(-5), K_(a_(BA)) = 6.4xx10^(-5))`

Answer» Correct Answer - `[H^(+)]=10^(-3)M, [CH_(3)COO^(-)]=3.6xx10^(-4)M`,
`[C_(7)H_(5)O_(2)^(-)]=6.4xx10^(-4)M`;
179.

A solution containing `0.2` mole of dicholoracetice acid `(K_(a)=5xx10^(-2))` and0.1 mole sodium dicholoroacetate in one litre solution has `[H^(+)]` :

Answer» Correct Answer - `0.05`;
180.

Calcualate `pH,[H^(+)],[OH^(-)],[CH_(3)COOH],[SH^(-)],[H_(2)S],[S^(2-)]` in a solution obtained by mixing equal volume of `0.2M H_(2)S &0.02M` acetic acid .Given that `K_(a)(CH_(3)COOH)=2xx10^(-5),K_(a_(1))(H_(2)S)=10^(-7),K_(a_(2))(H_(2)S)=10^(-14)` Take `log21=-1.32,(1)/(sqrt(21))=0.218`

Answer» Now `[H_(2)S]=0.1M,[CH_(3)COOH]=0.01M` after mixing
For `pH` calculation ,considering only first `[H^(+)]` of `H_(2)S` the system becomes similar to a mixture of two weak monoprotic acids.
`2^(nd)H^(+)` coming form `H_(2)S` would be negligible because of very low value of `K_(a_(2))` & also because of common ion effect exerted by `H^(+)` from `CH_(3)COOH`
`[H^(+)]=sqrt((10^(-1)xx10^(-7))+(10^(-2)xx2xx10^(-5)))=sqrt((0.1+2)xx10^(-7))=sqrt(21)xx10^(-4)M`
`pH=4-(1)/(2)log21=3.34`
`[OH^(-)]=(K_(W))/([H^(+)])=2.18xx10^(-11)M`
For acetic acid `K_(a_(1))=([H^(+)][HS^(-)])/([H_(2)S])=(sqrt(21)xx10^(-4)xx[CH_(3)COO^(-)])/(0.01)`
`rArr [CH_(3)COOH^(-)]=4.36xx10^(-4)M`
`rArr [CH_(3)COOH]=0.1M`
For `H_(2)S,K_(a_(1))=([H^(+)][HS^(-)])/([H_(2)S])=(sqrt(21)xx10^(-4)xx[s^(2-)])/(0.1)rArr [HS^(-)]=2.18xx10^(-5)M`
For `HS^(-)K_(a_(2))=([H^(+)][S^(2-)])/([HS^(-)])=(sqrt(21)xx10^(-4)xx[S^(2-)])/(2.18xx10^(-5))rArr [S^(2-)]=4.76xx10^(-16)M`
181.

Calculate the `pH` of the following mixtures given `(pK_(a) = pK_(b) = 4.7447)`: a. `50mL 0.1 M NaOH +50mL 0.1MCH_(3)COOH` b. `50mL 0.1 m NaOH +50mL 0.05 M CH_(3)COOH` c. `50mL 0.05M NaOH +50mL 0.1 M CH_(3)COOH` d. `50mL 0.1M NH_(4)OH +50mL 0.05 MHCI` e. `50mL 0.05M NH_(4)OH +50mL 0.1 MHCI` f. `50mL 0.05 M NH_(4)OH + 50mL 0.05 M CH_(3)COOH`

Answer» Correct Answer - (a) `12.3979`, (b) `4.7447`, (c ) `8.7218`,
(d)`9.2553`, (e ) `1.6021`, (f) `5.2782`, (g) 7 ;
182.

Calculate the `pH` of a solution obtained by mixing equal volume of `0.02MHOCl &0.2MCH_(3)COOH` solutions Given that `K_(a)(HOCl)=2xx10^(-4),K_(a)(CH_(3)COOH)=2xx10^(-5)`Also calculate `[OH^(-)],[OCl^(-)],[CH_(3)COOH]` at equilibrium .Take `log2=0.3`

Answer» Volume of final solutions becomes double .
So , concentrated becomes half so after mixing:
`C_(1)=0.01M,C_(2)=0.1M`
`[H^(+)]=sqrt(C_(1)K_(a_(1))+C_(2)K_(a_(2)))=sqrt(2xx10^(-4)xx0.01+2xx10^(-5)xx0.1)=sqrt(2xx10^(-6)+2xx10^(-6))=2xx10^(-3)M`
`:.pH=3-log2=2.7`
`[OCl^(-)]=(0.01xx2xx10^(-4))/(2xx10^(-3))=1xx10^(-3)M,[CH_(3)COO^(-)]=(0.1xx2xx10^(-4))/(2xx10^(-3))=1xx10^(-3)M`,
`[OH^(-)]=(K_(w))/([H^(+)]=(10^(-14))/(2xx10^(-3))=5xx10^(-12)M`
183.

`P^(H)` of `CH_(3)COOH` and `CH_(3)COONa` buffer is `4.8` in Which of the following conc. Conditions, the buffer capacity will be maximum `[CH_(3)COOH]` & `[CH_(3)COONa]`A. `0.1 M, 02 M`B. `0.2M, 0.1 M`C. `0.34 M, 0.34 M`D. `0.34M , 03 M`

Answer» Correct Answer - C
`pH = pka + "log" ([s])/([A])`
Buffer capacity is maximum
when `P^(H) = P^(ka), :. [s] = [A]`
184.

`pK_(a)` of `CH_(3)COOH` is 4.74 . The pH of 0.01 M `CH_(3)COONa` ISA. 8.37B. 4.37C. 4.74D. 0.474

Answer» Correct Answer - A
For a salt of a weak acid and strong base
`pH =7+(1)/(2)[pK_(a)+log C]`
`=7+(1)/(2)[4.74 +log 10^(-2)]`
`=7 +(1)/(2)[4.74 -2]`
`=7+(2.74)/(2)=71.37 =8.37`
185.

Calculate the buffer capacity of `1L` solution of : `(i)0.1MCH_(3)COOH` and `0.1MCH_(3)COONa` `(ii) 0.2MCH_(3)COOH` and `0.2MCH_(3)COONa` Given:`pK_(a)(CH_(3)COOH)=4.74` Which will be a better buffer?

Answer» Buffer capcaity =`(2.303(a+x)(b-x))/(a+b)~~(2.303ab)/(a+b)xltlta,b`
Buffer capacity =`(0.1xx0.1xx2.303)/(0.1+0.1)=0.11515`
Buffer capacity `=(0.2xx0.2xx2.303)/(0.2+0.2)=0.2303`
Second buffer solution (having greater buffer capcity )can be called butter buffer.
186.

6 gm of `CH_(3)COOH, 6 gm` of `NaOH` and `6.3 gm` of `HNO_(3)` are dissolved in 1L of water. If `K_(a)` of `CH_(3)COOH` is `10^(-5)` then calculate pH of resulting solution.

Answer» Correct Answer - 5
187.

The `pH` of a solution containing `0.1mol` of `CH_(3)COOH, 0.2 mol` of `CH_(3)COONa`,and `0.05 mol` of `NaOH` in `1L. (pK_(a) of CH_(3)COOH = 4.74)` is:A. `5.44`B. `5.20`C. `5.04`D. `4.74`

Answer» Correct Answer - A
`{:(,CH_(3)COOH+,NaOHrarr,CH_(3)COONa+,H_(2)O),("Initial mol",0.1,0.05,0,0),("Final mol",(0.1-0.05),(0.05-0.05),0.05,-),(,=0.05,=0,,):}`
Total moles of `Ch_(3)COONa = 0.2 + 0.05 = 0.25`.
`:. [CH_(3)COONa] = (0.25mol)/(1L) = 0.25M`
Moles of `CH_(3)COOH` left `= (0.1 -0.05) = 0.05`
`:. [CH_(3)COOH] = (0.05mol)/(1L) = 0.05M`
Thus, acidic buffer is formed
`pH = pK_(a) + "log"(["Salt"])/(["Acid"])`
`= 4.74 + log ((0.25)/(0.05))`
`= 4.74 + log 5 = 4.74 + 0.7 = 5.44`.
188.

In above question concentration of Triethyl ammonium ion `[C_(6)NH_(16)]^(+)` in resulting solution will be :A. `100K_(b)`B. `200K_(b)`C. `10K_(b)`D. `K_(b)`

Answer» `K_(b)=([OH^(-)][C_(6)NH_(16)^(+)])/([C_(6)NH_(15)])rArr ((10^(-2))/(2)[C_(6)NH_(16)^(+)])/((10^(-2))/(2))rArr[C_(6)NH_(16)^(+)]=K_(b)`
189.

The pH of a buffer solution containing equimolar concentrations of solution acetate and acetric acid is equal to:A. `K_(a)of CH_(3)COOH`B. `pK_(a)of CH_(3)COOH`C. 14D. `log (1/(K_(a)))of CH_(3)COOH`

Answer» Correct Answer - B::D
190.

The `pH` of NaOH solution is `13`. What is the amount in grams of `NaOH` present in one litre of a solution?A. `40`B. `4`C. `0.4`D. `20`

Answer» Correct Answer - B
`P^(OH) = 14 - P^(H) = 14 - 12 = 2`
`[OH^(-)] = N = 10^(-POH) = 10^(-2)N`
`N = (W)/(EW) xx (1)/(V("lit"))`
`10^(-2) = (w)/(eq.w) xx (1)/(v)`
`w = 10^(-2) xx 40 xx 1 = 0.4`
191.

How many grams of `NaOH` must be dissolved in `1L^(-1)` of the solution to given it a `pH` value of `12`?A. `0.20 gL^(-1)`B. `0.40 gL^(-1)`C. `0.10 gL^(-1)`D. `1.2 gL^(-1)`

Answer» Correct Answer - B
`pH = 12, pOH = 2, [overset(Theta)OH] = 10^(-2)M`.
`[overset(Theta)OH] = 10^(-2)M = 10^(-2) xx 40 g L^(-1) = 0.4 gL^(-1)`
192.

Calculate the amount of `(NH_(4))SO_(4)` in grams which must be added to 500 ml of 0.200 M `NH_(3)` to yield a solution with pH = 9.35 (`K_(b)` for `NH_(3) = 1.78 xx 10^(-5)`)A. 10.56 gmB. 15 gmC. 12.74 gmD. 16.25 gm

Answer» Correct Answer - A
193.

The concentration of which ion is to be decreased, when `NH_(3)` solution is addedA. `OH^(-)`B. `NH_(4)^(+)`C. `H_(3)O^(+)`D. `O_(2)^(-)`

Answer» Correct Answer - C
Because `NH_(3)` acts as Lewis acid any they give electron pair to `H_(3)O^(+)` ion. `H_(3)O^(+)` is a Lewis base. Which accept the electron pair from `NH_(3)`.
194.

The `P^(H)` of a solution is `6`. Its `H^(+)` concentrations is decreased by `1000` times. Its `P^(H)` will beA. 9B. 6.96C. 7.04D. 8

Answer» Correct Answer - A
If the `H^(+)` ion concentration decreases by `1000` times than `P^(H)` increases by three units
195.

What is minimum concentration of `SO_(4)^(2-)` required to precipitate `BaSO_(4)` in solution containing `1 xx 10^(-4)` mole of `Ba^(2+)` ? (`K_(sp)` of `BaSO_(4) = 4 xx 10^(-10)`)A. `4xx10^(-10) M`B. `2xx10^(-10) M`C. `4xx10^(-6) M`D. `2xx10^(-3) M`

Answer» Correct Answer - 3
196.

What is the minimum concentration of `SO_(4)^(2-)` required to precipitate `BaSO_(4)` in a solution containing `1.0 xx 10^(-4)` mol `Ba^(2+)` (`K_(sp)` for `BaSO_(4)` is `4 xx 10^(-10)`)A. `4 xx 10^(-10)M`B. `2 xx 10^(-7)M`C. `4 xx 10^(-6)M`D. `2 xx 10^(-3) M`

Answer» Correct Answer - C
`BaSO_(4) hArr Ba^(2+) + SO_(4)^(2-)`
`K_(sp) = S^(2) rArr S = sqrt(K_(sp)) , K_(sp) = [Ba^(2+)] xx [SO_(4)^(2-)]`
`4 xx 10^(-10) = [1 xx 10^(-4)] xx [SO_(4)^(2-)]`
`[SO_(4)^(2-)] = (4 xx 10^(-10))/(1 xx 10^(4)) = 4 xx 10^(-6)`.
197.

What is minimum concentration of `SO_(4)^(2-)` required to precipitate `BaSO_(4)` in solution containing `1 xx 10^(-4)` mole of `Ba^(2+)` ? (`K_(sp)` of `BaSO_(4) = 4 xx 10^(-10)`)A. `2 xx 10^(-3) M`B. `2 xx 10^(-5) M`C. `4 xx 10^(-10) M`D. `4 xx 10^(-6)`

Answer» Correct Answer - D
to get precpitate Ionic product is `gt K_(sp)`
The minimum Conc. Of. `SO_(4^(-2))` to get
Precipitate `= (K_(sp))/([Ba^(+2)])`
`= (4 xx 10^(-10))/(1 xx 10^(-4)) = 4 xx 10^(-6)`
198.

The `pH` of `NaOH` solution is `12`. What is the amount in grams of `NaOH` present in one litre of a solution?A. `40`B. `4`C. `0.4`D. `20`

Answer» Correct Answer - C
`P^(H) = 12, P^(OH) = 2`
`[OH^(-)] = 10^(-2)`
`N = (w)/(Gmw) xx (1000)/(v)`
`10^(-2) = (w)/(40) xx (1000)/(1000)`
`w = 40 xx 10^(-2) = 0.4`
199.

The pH of a solution is 5. Its `H^(+)` ion concentration is decreased by `100` times, then the nature of the solution formed isA. AcidicB. BasicC. NeutralD. Amphoteric

Answer» Correct Answer - C
What ever the volume of water added, the `P^(H)` of acid is always `lt 7` at `25^(@)C`
200.

The solubility of `PbSO_(4)` in `0.1M Na_(2)SO_(4)` solution is (`K_(sp)` of `PbSO_(4)` is `1.25 xx 10^(-9)`)

Answer» `PbSO_(4) hArr Pb^(+2) + SO_(4)^(-2)`
`S , S + 1`
`K_(sp) = S(S + 0.1) = 0.1 xx S (S lt lt 0.1)`
`:. S = (K_(SP))/(0.1) = 1.25 xx 10^(-8) M`