Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Calculate the pH of solution with H_3O^+ concentration in mol dm^(-3). (i) 10^(-4)

Answer»

SOLUTION :`pH=-log[H_3O^+]`
(i) `pH=-log[10^4]`
`pH=log1-log10^4`
`pH=4`
2.

Calculate the pH of solution with H_3O^+ concentration in mol dm^(-3). (ii) 10^(-7)

Answer»

SOLUTION :`pH=-log[H_3O^+]`
(II) `pH=-log[10^(-7)]`
`pH=log1-log10^(-7)`
`pH=7`
3.

Calculate the pH of solution obtained by mixing 10mL of 0.1M HCl and 40mL of 0.2M H_(2)SO_(4) take log3.4=0.53

Answer»

Solution :Given is the CASE of a mixture of `2` strong acids.
MILL moles of `H^(+)` form `HCl =10xx0.1=1`
MILLI moles of `H^(+)` form `H_(2)SO_(4)=40xx0.2xx2=16`
,.TOTAL millimoles of `H^(+)` in solution =`1+16=17`
`:.[H^(+)]=(17)/(50)=3.4xx10^(-1)( :.[H^(+)]_(f)=(("Millmoles"_("Total"))/(V))`
`:.pH=-log[H^(+)]=-log0.34`
`pH=0.47`
4.

Calculate the ph of solution obtained by mixing 100 ml of 0.1 M HCl and 9.9 ml of 1.0m H_2SO_4.

Answer»

3.0409
3.4049
2.0409
None

Answer :A
5.

Calculate the pH of an aqueous solution of 1.0 M ammonium formate assumingcomplete dissociation. pK_aof formic acid = 3.8 and pK_bof ammonia = 4.8.

Answer»


ANSWER :6.5
6.

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»

Solution :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`
7.

Calculate the pH of a buffermixture which contains 7.5gms if acetic acid and 10.25 gms of sodium acetate in 1 litre of the solution. K_a for acetic acid is 1.8xx10^(-5).

Answer»

Solution :`pH=pK_a+log.(["salt"])/(["acid"])`
The CONCENTRATION of the salt and the acid should be in MOLES/lit.
Number of moles of acetic acid
`("weight of acetic acid")/("molecular weight of acetic acid")=(7.5)/(60)`
Number of moles of sodium acetate
`=("weight of sodium acetate")/("molecular weight of sodium acetate")=(10.25)/(82)`
`pK_a=-log K_a`
`=-log 1.8xx10^(-5)`
`=log .(1)/(1.8xx10^(-5))`
`=log 1-log 1.8-log 10^(-5)`
`=5-0.2553=4.7447`
`therefore pH=4.7447+log.(0.125)/(0.125)`
`pH=4.7447.`
8.

Calculate the pH of a buffer containing 0.08 mole of acetic acid and 0.12 mole of sodium acetate per dm_2 of the solution. The ionisation constant of acetic acid is 1.8xx10^-5.

Answer»

SOLUTION :The pH of a buffer solution is GIVEN by the Henderson's equation .
`pH=pK_a+log.(["SALT"])/(["ACID"])`
`pK_a=-logK_a=-log[1.8xx10^(-5)]`
`=log.(1)/(1.8xx10^(-5))`
`=log 1-log1.8-log 10^(-5)`
`=5-0.2553`
`=4.7447`
`pH=4.7447+log.(0.12)/(0.08)`
`4.7447+log1.5`
`=4.7447 +0.1761`
`pH=.921.`
9.

Calculate the pH of a 0.15 M aqueous solutions of AlCl_(3) Given :[Al(H_(2)O)_(6)]^(3+)(aq)+H_(2)O(l)hArr[(AlH_(2)O)_(5)OH]^(2+)(aq),K_(a)=1.5xx10^(-5)

Answer»

`2.82`
`5`
`9`
`11.18`

Solution :`{:(,AlCl_(3),C=0.15M,(AlCl_(3))"is SAWB SALT",,),(,[AL(H_(2)O)_(6)]^(3+)+,H_(2)O(l)HARR,[Al(H_(2)O)_(5)OH]_(AQ)^(2+)+,H_(3)O_(aq)^(+),K_(a)=1.5xx10^(-5)),(At t=0,0.15,-,0,0,),(At t=t_(eq),0.15(1-alpha),-,0.15alpha,0.15alpha,):}`
10.

Calculate the pH of a 0.10 N solution of H_2CO_3

Answer»

3.68
5.76
7.36
9.34

Answer :a
11.

Calculate the pH of a 0.005 M Na_2 S solution. K_1 and K_2 for H_2S are 1xx10^(-7) and 1xx 10^(-14)respectively.

Answer»

Solution : The first STEP of HYDROLYSIS, i.e., `S^(2-) + H_2O IFF HS + OH^-`is predominant and hence `K_2`value is used in the calculations.
11.70
12.

Calculate the pH of 1.5xx10^(-3) M solution of Ba(OH)_2.

Answer»

Solution :`{:(Ba(OH)_(2)" "RARR" "Ba^(2+)+2OH^(-)),(1.5xx10^(-3)M""2xx1.5xx10^(-3)M):}`
`[OH^(-)]=3xx10^(-3)M`
`[because pH+pOH=14]`
`pH=14-pOH`
`pH=14-(-LOG[OH^(-)])`
`=14+log[OH^(-)]`
`=14+log(3xx10^(-3))`
`=14+log3+log10^(-3)`
`=14+0.4771-3`
`=11+0.4771`
`pH=11.48`
13.

Calculate the pH of 1.5 times 10^-3 M solution of Ba(OH)_2.

Answer»

SOLUTION :`Ba(OH)_2toBa^(2+)+2OH^(-)`
`1.5 times10^-3M 2 times1.5 times10^-5M`
`[OH^-]=3 times10^-3M`
`[becausepH+pOH=14]`
`pH=14-pOH`
`pH=14-(-LOG[OH^-])`
`=14+log[OH^-]`
`=14+log(3 times10^-3)`
`=14+log3+log10^-3`
`=14+0.4771-3`
`=11+0.4771`
pH=11.48
14.

Calculate the pH of 0.5 M aqueous solution of NaCN, the pK_(b) " of " CN^(-) is 4.70

Answer»

`4.70`
`11.5`
7
6.5

Solution :NACN is a salt of STRONG base and WEAK acid , `pH =7+(1)/(2)pK_(a)+(1)/(2)log C`
`pK_(a) "for " HCN=14-4.70=9.30`
`therefore pH=7+(1)/(2)xx9.30+(1)/(2) log 0.5, pH=11.5`
15.

Calculate the pH of 0.1M CH_3COOH solutoion. Dissociation constant of acetic acid is 1.8 times 10^-5.

Answer»

Solution :`pH=-log[H^+]`
For weak ACIDS,
`[H^+]=sqrt(K_s times C)`
`=sqrt(1.8 times 10^-5 times 0.1)`
`=1.34 times 10^-3 M pH=-log(1.34 times 10^-3)`
`=3- log1.34`
`=3-0.1271`
`=2.8729 APPROX 2.87`
16.

Calculate the pH of 0.1 M solution of (i) NaHCO_(3) , (ii) Na_(2)HPO_(4) and (ii) NaH_(2)PO_(4). Given that : CO_(2)+H_(20O Leftrightarrow H^(+) + HCO_(3)^(-) K_(1)=4.2 xx 10^(-7) M HCO_(3)^(-) Leftrightarrow H^(+)+CO_(3)^(2-), K_(2)=4.8 xx 10^(-11)M H_(3)PO_(4) Leftrightarrow H^(+) +H_(2)PO_(4)^(-), K_(1)=7.5 xx 10^(-3)M H_(2)PO_(4)^(-) Leftrightarrow H^(+)+HPO_(4)^(2-), K_(2)=6.2 xx 10^(-8)M HPO_(4)^(2-) Leftrightarrow H^(+)+PO_(4)^(3-), K_(3)=1.0 xx 10^(-12)M

Answer»


ANSWER :8.35,9.60,4.66
17.

Calculate the pH of 0.1 M solution of H_2NCH_2 CH_2NH_2 , ethylenediamine (en). Determine the en H_2^(2+). concentration in the solution. K_(b_(1)) and K_(b_(2)) values of ethylenediamine are 8.5 xx 10^(-5) and 7.1 xx 10^(-8) respectively.

Answer»


ANSWER :`PH =11.46 [en H_(2)^(2+)]=7.1 XX 10^(-8)`
18.

Calculate the pH of 0.1 M CH_3 COOH solution.Dissociation constant of acetic acid is 1.8xx10^(-5) M.

Answer»

Solution :For WEAK ACIDS,
`[H^+]=sqrt(K_axxC)`
`=sqrt(1.8xx10^(-5)xx0.1)=sqrt(1.8xx10^(-6))`
`=1.34xx10^(-3)M`
`therefore pH=-LOG[H^+]=log(1.34xx10^(-3))`
`therefore pH=2.87`.
19.

Calculate the pH of 0.1 M acetic acid if its ionisation constant K_a=1.8xx10^(-5).

Answer»

Solution :Degree if dissociation `alpha=SQRT((K_a)(C )), C alpha = sqrt(K_a . C)`
`THEREFORE pH=log.(1)/(sqrt(K_a. C))=log.(1)/(sqrt(1.8xx10^(-5)xx.1))`
`1=log.(1)/(sqrt(1.8xx10^(-3)))=log.(10^3)/(sqrt(1.8))`
`=3-(1)/(2)log1.8`
`=3-(1)/(2)xx0.2553=3-0.1276=2.8724`
Alternation,
`[H^+]=sqrt(K_a xx C)`
`=sqrt(1.8xx10^(-5)xx0.1)=sqrt(1.8xx10^(-6))`
`=1.341xx10^(-3)`
`therefore pH=-log[H^+]=-log(1.341xx10^(-3))`
`=3-0.1277=2.8723`.
20.

Calculate the pH of 0.04 M HNO_3 Solution.

Answer»

SOLUTION :CONCENTRATION of `HNO_3=0.04M`
`[H_3O^+]=0.04` MOL dm
`pH=-log[H^3 O^+]`
`=-log(4xx10^(-2))`
=2-log4`
`=2-0.6021`
`=1.3979`
`=1.40`
21.

Calculate the pH of 0.02 MHCI.

Answer»

Solution :( HCI strong ACID FULLY ionised)
`pH=log.(1)/(H^+)=log.(1)/(01)`
`=log. (100)/(2) = 1.6990`
22.

Calculate the pH of 0.02 m Ba(OH)_2 aqueous solution assuming Ba(OH)_2 as a strong electrolyte.

Answer»

SOLUTION :`BA(OH_2) to Ba^(2+)+2OH^-`
`THEREFORE [OH^-]=2[Ba(OH)^2]`
`=2xx0.02 =0.04 M`
`therefore pOH=-log [OH^-]`
`=1.398 - 1.40`
`therefore pH=14-1.4=12.6`
23.

Calculate the pH of 0.01 M NaOH.

Answer»

Solution :(NaOH strong BASE fully ionised)
`pOH=LOG.(1)/(OH^-)=log. (1)/(.01)`
`=log.(100)/(1)=2.0`
`pOH=14-pOH=14-2=12`.
24.

Calculate the pH of 0.001M HCl solution HCl_(0.001M) leftrightarrow^(H_2O)H_3O_(0.001M)^(+)+Cl_(0.001M)^(-)

Answer»

Solution :`H_3O^+` from the auto ionisation of `H_2O(10^-7M)` is negligible when compared from `10^-3 M HCL`
HENCE `[H_3O^+]=0.001 MOL dm^-3`
`pH=-log_10[H_3O^+]`
`=-log_(10)(0.001)`
`=-log_10(10^-3)=3`
25.

Calculate the pH at which the following conversion (reaction) will be at equilibrium in basic medium ? I_2(s)hArr I^(-)(aq)+IO_(3)^(-)(aq) When the equilibrium concentrations at 300 K are [I^(-)] =0.10 M and [IO_3^(-)]=0.10 M {Given that DeltaG_f^@(I^(-)aq)=-50 kJ/mole , DeltaG_f^(@)(IO_3^(-),aq)=-123.5 kJ/mole , DeltaG_f^(@)(H_2O,l)=-233 kJ/mole , DeltaG_f^(@)(OH^(-),aq)=-150 kJ/mole , Ideal gas constant =R=25/3 J "mole"^(-1)K^(-1),log e =2.3 , deltaG_f^@(element, standard state )=0, DeltaG_r^@(reaction)=sumv_pDeltaG_f^@(products)-sumv_rDeltaG_f^@(reactants), where v_p and v_r are the stochiometric coefficients in the balanced chemiclal equation. }

Answer»


SOLUTION :Balanced equation will be
`3I_2(s)+6OH^(-)hArr5I^(-)(AQ)+IO_(3)^(-)(aq)+3H_2O(l)`
`DeltaG^(@)=-172.5 "kJmole"^(-1)=-25/3xx300xx2.3xx10^(-3)`log k
log k=30
`10^(30)=(10xx^(-5)xx10^(-1))/([OH^(-)]^(6))`
so `[OH^-]=10^(-6)` and therefore `[H^+]=10^(-8)` so, pH=8
26.

Calculatethe pH at whichan acidindicator with K_(a)= 1xx 10^(5) changescolourwhenindicator concentrationis 1 xx 10^(-3)M . Alsorport the pH at whichcoloured ionsare 80 %present.

Answer»

SOLUTION :Forindicatordissociation equilibrium
`HlnhArr H^(+)+In^(-)`
ColourAColour B
` K_(In) = ([H^(+)][In^(-)])/([HLN]) `
`rArr1 xx 10^(-5) = ([H^(+)]xx 80//100)/(20//100)`
` :.[ H^(+)] = 0.25 xx 10^(-5)`
`:. PH = 5.6020`
27.

Calculate the pH at the equivalence point when a solution of 0.01 M CH_(3)COOHis titrated with a solution of 0.01 M NaOH.pKa of CH_(3)COOH is 4.74

Answer»


Solution :`CH_(3)COOH + NAOH Let acid be = V ML
VmL of 0.01 M `CH_(3)COOH` will require V ml of 0.01 mL NaOH. But `CH_(3)COONa` formed will make solution alkaline due to hydrolysis
`CH_(3)COONa = 0.01/2 = 0.005` M
USING EQUATION for PH of salt of weak acid and strong base.
`pH = 7 + (pK_(a))/2 + (log C)/2 = 7 + (4.74)/2 + (log 0.005)/2`
= 8.22
28.

Calculate the percentage of water of crystallisation in the sample of washing soda, Na_(2)CO_(3).10H_(2)O.

Answer»

SOLUTION :`62.94%`
29.

Calculate the percentage of water of crystallisation in the sample of blue vitriol (CuSO_(4).5H_(2)O).

Answer»

Solution :`"MOL. MASS of "CuSO_(4).5H_(2)O=63.5+32+4xx16+5xx18=249.5`
`"No. of PARTS by mass of "H_(2)O=5xx18=90""therefore""%" of "H_(2)O=(90)/(249.5)xx100=36.07%.`
30.

Calculate the percentage of water of crystalline in Blue vitrial CuSO_4.5H_2O (Atomic masses aregiven as Cu = 63.5, S = 32, O = 16, H = 1

Answer»

0.072
0.36
0.5642
0.64

Answer :B
31.

Calculate the percentage of vacant space in a Si unit cubic cell. The unit-cell content for Si is 8 and r=(sqrt(3)a)/8.

Answer»


ANSWER :`66%`
32.

Calculate the percentage of the naturally occurring isotopes .^(35)Cl and .^(37)Cl that accounts for the atomic mass of chlorine taken as 35.45.

Answer»

Solution :Suppose `.^(35)Cl` present `=x%`. Then `.^(37)Cl` present `=(100-x)%`
`therefore"AVERAGE atomic MASS"=(x xx35+(100-x)xx(37)/(100))=35.45"(Given)"`
`"or"35x+3700-37x=3545 or 2x=155 or x=77.5%`
Thus, `.^(35)Cl=77.5% and .^(37)Cl=100-77.5=22.5%.`
33.

Calculate the percentage of (i) SO_(4)^(2-) (ii) H_(2)O in pure crystals of Molar salt, viz., FeSO_(4).(NH_(4))_(2)SO_(4).6H_(2)O.

Answer»


Solution :`"Mol. MASS of "FeSO_(4).(NH_(4))_(2)SO_(4).6H_(2)O=56+32+64+36+32+64+108=392`
`%" of "H_(2)O=(108)/(392)xx100=27.55%,%" of "SO_(4)^(2-)=(2(32+64))/(392)xx100=48.98%`
34.

Calculate the percentage of free volume available in 1 mole gaseous water at 1 atm pressure and 373 K.

Answer»


ANSWER :`99.94%`
35.

Calculate the percentage of hydrolysis in 0.003 M aqueous solution of NaOCN. K_a for HOCN = 3.33 xx 10^(-4) M .

Answer»

SOLUTION :`OCN^(-) + H_2O IFF HOCN + HO^(-)`
0.01%
36.

Calculate the percentage of free volume available in 1 mol of gaseous water at 1.0 atm and 100^(@)C. Density of liquid H_(2)O at 100^(@) is 0.958 g//mL

Answer»


ANSWER :`99.9386`
37.

Calculate the percentage of free SO_(3)in an oleum ( considered as a solution of SO_(3)in H_(2)SO_(4)) thatis labelled109 %H_(2)SO_(4) .

Answer»

SOLUTION :109 % `H_(2)SO_(4)` refersto the total massof pure `H_(2)SO_(4)`i.e ., 109 G that will be formed when 100 g ofoleum is dilutedby 9g of `H_(2)O ` which`(H_(2)O)` COMBINES with all the free `SO_(3)` present in OLEUM to form `H_(2)SO_(4)`
`H_(2)O+SO_(3) to H_(2)SO_(4)`
1 mole of `H_(2)O` combines with 1 moleof `SO_(3)`
or 18 g of `H_(2)O ` combines with 80 g of `SO_(3)`
or 9 gof `H_(2)O `combines with 40 g of `SO_(3)`
Thus , 100 g of oleum contains 40 gof `SO_(3)`or oleum 40 % of free `SO_(3)`
38.

Calculate the percentage of carbon, hydrogen and oxygen in ethanol (C_(2)H_(5)OH).

Answer»

SOLUTION :`C=52.17%,H=13.04%,O=34,78%`
39.

Calculatethe percentageefficiencyof packing in case of bodycenteredcubiccrystal.

Answer»

SOLUTION :Packingefficiency: inbodycenteredcubicarrangementthe spheresare touchingalongtheleadingdiagonalof the cubeas shownin the FIGURE.
`AC^(2) - AB^(2) + BC^(2)`
`AC = sqrt(a^(2) +a^(2)) = sqrt(2a^(2))= sqrt(2a)`
In `Delta ACG`
`AG^(2) = AC^(2) +CG^(2)`
`AG = sqrt((2a)^(2) +a^(2))`
i.e., `sqrt(3) a= 4r`
Volumeof THESPHERE withradiusr
Numberof spherebelongto aunitcell inbccarrangement is equalto twoandbencethe totalvolumeof allspheres

Packin fraction= `("Totalvolumeoccupiedbyspheresin a unitcell ") /("Volumeof theunitcell") xx 100`
Packingfraction`=((sqrt(3) pi a^(3))/( 8))/((a^(3))) xx 100`
`=1.732 xx 3.14xx 12.5=68%`
40.

Calculate the percentage efficiency of packing in case of body centered cubic crystal.

Answer»

Solution :Packing efficiency `:`
Here, the spheres are touching along the leading DIAGONAL of the cube as shown in the figure.
In `Delta ABC`
`AC^(2) = AB^(2) + BC^(2)`
`AC = sqrt( AB^(2) + BC^(2))`
`AC = sqrt(a^(2) +a^(2)) = sqrt(2a^(2)) = sqrt(2) a`
In `Delta ACG`
`AG^(2) = AC^(2) + CG^(2)`
`AG= =sqrt( AC^(2) +CG^(2))`
`= AG = sqrt((sqrt(2a))^(2) + a^(2))`
`AG = sqrt( 2a^(2) + a^(2)) = sqrt( 3a^(2))`
`AG =sqrt(3) a`
i.e., `sqrt(3) a = 4r`
` r(sqrt(3) )/( 4) a`
`:.` Volume of the sphere with radius 'r'
`= ( 4)/( 3) pir^(3)`
`= ( 4)/( 3) pi ((sqrt(3))/( 4) a)^(3)`
`= ( sqrt(3))/(16) pi a^(3)`....(1)
Number of spheres belong to a unit cell in bcc arrangement is EQUAL to TWO and hence the total volume of all spheres.
`=2 XX ((sqrt(3) pia^(3))/(16))= (sqrt(3) pia^(3))/( 8)`
Dividing (2) by (3)
Packing fraction `= ((sqrt(3) pi a^(3)))/((a^(3))) xx 100`
`= ( sqrt(3)pi)/( 8) xx100`
`= sqrt(3) pi xx 12.5 `
`= 1.732 xx 3.14 xx 12.5`
`= 68%`
i.e., 68% of the available volume is occupied. The available space is used more efficiently than in simple cubic packing.
41.

Calculate the percentage composition of calcium nitrate.

Answer»

SOLUTION :The FORMULA of calcium nitrate is `Ca(NO_(3))_(2)`.
Thus, the formula mass or molecular mass
=At. Mass of Ca+2 X at. Mass of N+6X at. Mass of oxygen.
`=40+2xx14+6xx16=164`
% of `Ca=(40)/(164)xx100=24`
% of `N=(28)/(164)xx100=17`
% of `O=100-(24+17)=59`
42.

Calculate the percentage amount of oxalate in a given sample of oxalatesaltwhen 0.3 g of salt was dissolved in 100 mL and 10 mLof which required 8 mLof N/20 KMnO_(4)solution.

Answer»

SOLUTION :Let the AMOUNT of oxalate in the sample be x g .
Now ,
m.e of `KMnO_(4) = 1/20 xx 8 = 0.4 "" ` …(Eqn.1)
` :. ` m.e of 10 mL of oxalate salt solution = 0.4..(Eqn.2)
` :. ` m.eof 100 mL of oxalatesolution = 4.0
but m.e of oxalate = m.e of oxalate salt = 4 ...(Eqn . 7)
` :. ` equivalent of oxalate = `4/1000= (0.04) ` ....(Eqn.3)
Wt . of oxalate ` = (0.004 xx 44 ) g `
` = 0.176 g`
` {" eq. wt of " C_(2)O_(4)^(2-)= 88/2 = 44}`
Percentage amount of oxalate = `(0.176 )/(0.3) xx 100 = 58.67 ` %
43.

Calculate the percent loss in weight after complete decomposition of a pure sample of potassium chlorateKClO_(3)(s) to KCl + O_(2)(g)

Answer»


ANSWER :`39.18%`
44.

Calculate the per cent dissociation of H_2S(g) if 0.1 mole of H_2Sis kept in a 0.4-litrevessel at 1000 K.For the reaction2H_2S (g) iff 2H_2(g) + S_2(g)the value of K_c is 1.0 xx 10^(-6)

Answer»


ANSWER :0.02
45.

Calculate the per cent error in hydronium ion concentration made by neglecting the ionisation of water in 1.0 xx 10^(-6) M NaOH

Answer»


Solution :Because `[H^(+)] = 1.0 XX 10^(-8) =10 xx 10^(-9)`
Which is very SMALL and so NEGLIGIBLE if ionisation of `H_(2)O` is not neglected, then
`{:(H_(2)O,hArr,H^(+)+,H^(-)),(,,a,(10^(-6)+a)):}`
`:. a xx (10^(-6) + a) = 10^(-14) "" a = 9.9 xx 10^(-9)`
`:.` % error `= (10 xx 10^(-9) - 9.9 xx 10^(-9))/(9.9 xx 10^(-9)) xx 100 = 1%`
46.

Calculate the per cent concentration of a 9.28N NaOH solution of density 1.31g//mL.

Answer»


ANSWER :`28.3%`
47.

Calculate the partial vapour pressure of C_(2)H_(4)Br_(2) at 85^(@)C for an ideal solution with mole fraction of 0.25. Vapour presure of pure C_(2)H_(4)Br_(2) at 85^(@)C is 170 mm Hg.

Answer»

<P>

SOLUTION :`P_(A)=P_(A)^(@)X_(A)=170mmxx0.25=42.5 MM HG`.
48.

Calculate the partial pressure of carbon monoxide from the following data’s CaCO_(3)(s) overset(Delta)to CaO(s) + CO_(2)(g), K_(p) = 8 xx 10^(-2)CO_(2)(g) + C(s) rarr 2CO(g), K_(p) = 2

Answer»

<P>0.2
0.4
1.6
4

Solution :`CaCO_(3)(s) overset(Delta)to CAO(s) + CO_(2)(g)`
`CO_(2)(g) + C(s) rarr 2CO(g)`
`K_(p) = p^(2)_(CO)/p_(CO_(2)) = (2X)^(2)/0.08`
49.

Calculate the partial pressur of carbon monoxide from the following CaCO_(3(s))overset(Delta)toCaO_((s))+CO_(2)uarr,K_(p)=8xx10^(-2) CO_(2(g))+C_((s))to 2CO_((g)),K_(p)=2

Answer»

`0.2`
`0.4`
`1.6`
4

Solution :Given, `CaCO_(3(s))OVERSET(Delta)toCaO_((s))+CO_(2(G))uarr`
`C_((s))+CO_(2(g))hArr2CO_((g)), K_(p1)=pCO_(2)`
`K_(p2)=([pCO]^(2))/([pCO_(2)]),pCO=sqrt([Kp_(1)xxKp_(2)])`
`pCO=sqrt([8XX10^(-2)xx2])=sqrt(16xx10^(-2))=4xx10^(-1)=0.4`
50.

Calculate the packing factor for spheres occupying (a) a body-centred cubic structure, and (b) a simple cubic structure, where closest neighbours in both cases are in contact.

Answer»


ANSWER :(a) 0.68, (B) 0.524