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 molarity of a solution containing 14 g of KOH in 750 ml of solution.

Answer»

Solution :MOL wt. of KOH = 56
Molarity `= (14)/(750 )xx(1000 )/(56)`
`=0.333`
2.

Calculate the molarity of 9.8% (W/W) solutionof H_(2)SO_(4) if the density of solution is 1.02 g mL^(-1) (Molar mas of H_(2)SO_(4)=98 g mol^(-1)).

Answer»


SOLUTION :`"MOLAR mass of solute" (H_(2)SO_(4))=98" g mol"^(-1)`
Mass of solution = 100 g
Mass of solute = 9.8 g
`"Density of the solution" = 1.02 " g mL"^(-1)`
`"Volume of the solution"=("Mass of solution")/("Density of solution")`
`=((100g))/((1/02"g mL"^(-1))=98.04 mL = 0.098 L.`
`"Molarity of solution (M)"=("Mass os solute/Molar mass of solute")/("Volume of solution in litres")`
`((9.8g)//(98" g mol"^(-1)))/((200//1000)L)=0.5 mol L^(-1)=1.02 M.`
3.

Calculate the molarity and normality of a solution containing 5 g of NaOH in 450 mL Solution.

Answer»

SOLUTION :0.278 each
4.

Calculate the molarity and molarity of a solution of ethanol in water if the molre fraction of ethanol is 0.05 and the density of solution is 0.997 g/"cc"

Answer»

Solution :SINCE mole fraction of `C_(2)H_(5)OH=("MOLES of " C_(2)H_(5)OH)/("moles of" C_(2)H_(5)OH+"moles of " H_(2)O)`
`=0.05=(5)/(100)`
`:.100` moles of solution contain 5 moles of `C_(2)H_(5)OH`
Weight of `C_(2)H_(5)OH=` moles `xx`mol.wt.
`=5xx46=230g`
Weight OG `H_(2)O=95xx18=1710g`
`:.` weight of solution `=230+1710=1940g`
Volume of solution `=(1940)/(0.997)"cc"=1945.8mL=1.9458` litres
`:.` molality `=(5)/(1710)xx1000=2.92m`
Molarity `=(5)/(1.9458)=2.57M`
5.

Calculate the molarity and molality of20 per cent aqueous ethanol (C_(2)H_(5)OH) solution by volume (density of the solution = "0.960 g per cm"^(3)).Assume the solution to be ideal.

Answer»


Solution :ASSUMING the solution to be IDEAL,
`"100 cm"^(3)" of alcohol "+80 cm^(3)" of WATER, 100 cm"^(3)" of solution "=100xx0.960 =96g`
`therefore"96 g of solution = 20 cm"^(3)" of alcohol "+"80 g of water"because"20 cm"^(3)" of alcohol "=96-80 = 16 g.`
6.

Calculate the molar volume of gas at STP -

Answer»

22.8 ml
25.8 ml
22.4 ml
11.2 ml

Solution :At S.T.P P, P=1 , R = 0.0821 L ATM `K^(-1) MOL^(-1)` , n=1 mol, T= 273 K, PV = NRT
7.

Calculate the molar solubility of Fe(OH)_(3) in a buffer solution that is 0.1M in NH_(4)OH and 0.1M in NH_(4)Cl (K_(b) of NH_(4)OH=1.8xx10^(-5),K_(sp) of Fe(OH)_(3)=2.6xx10^(-39))

Answer»

`4.46xx10^(-22)M`
`8.92xx10^(-25)M`
`2.23xx10^(-24)M`
`4.46xx10^(-25)M`

SOLUTION :`N//A`
8.

Calculate the molar mass of water if it contains 50% heavy water (D_(2)O).

Answer»

Solution :As water contains `50%D_(2)O`, this means that it contains `(1)/(2)` MOLE of `H_(2)O` and `(1)/(2)` mole of `D_(2)O`. Mass of `(1)/(2)" mole of "H_(2)O=(1)/(2)xx18="9 g. Mass of "(1)/(2)" mole of "(1)/(2)" mole of "D_(2)O=(1)/(2)(2xx2+16)="10 g. Hecne, molar mass of the GIVNE sample of water"=9+10="19 g mol"^(-1)`.
9.

Calculate the molar mass of a substance 1.3 g of which when dissolved in 169 g of water gave a solution boiling at 100.025^(@)C at a pressure of one atmosphere (K_(b) for water = "0.52 K m"^(-1))

Answer»

SOLUTION :`"160 G MOL"^(-1)`
10.

Calculate the molar ionic conductance of Al^(3+) ions at inifinite dilution, given that the molar conductance of Al_(2)(SO_(4))_(3) and molar ionic conductance of SO_(4)^(2-) ions at infinite dilution are 858" S "cm^(2)mol^(1) and 160" S "cm^(2)mol^(-1) respectively.

Answer»


Solution :`wedge_(m)^(@)[Al_(2)(SO_(4))_(3)]=2lamda_(m)^(@)(Al^(3+))+3lamda_(m)^(@)(SO_(4)^(2-))`
11.

Calculate the molar conductance of 0.025 M aqueous solution of calcium chloride at 25^@C . The specific conductance of calcium chloride is 12.04 xx 10^(-2) Sm^(-1).

Answer»

Solution :Molar CONDUCTANCE = `Lambda_m = ((SM^(-1)) xx 10^(-3))/(M) mol^(-1) m^3`
`= ((12.04 xx 10^(-2) Sm^(-1)) xx 10^(-3))/(0.025) mol^(-1) m^(3) = 481.10^(-2) Sm^(2) mol^(1)` .
12.

Calculate the molar conductance of 0.01M aqueous KCl solution at 25^@C. The specific conductance of KCl at 25^@C is 14.114 xx 10^(-2) Sm^(-1).

Answer»

SOLUTION :CONCENTRATION of KCl solution = 0.01M
SPECIFIC conductance `(k) = 14.114 XX 10^(-2)Sm^(-1)`
MOLAR conductance `(Lambda_m) = ?`
`Lambda_, = (k xx 10^(-3))/(M) = (14.114 xx 10^(-2) xx 10^(-3))/(0.01) Sm^(-1) mol^(-1) m^(3)`
`Lambda_m = 14.114 xx 10^(-5) xx 10^2 = 14.114 xx 10^(-3) Sm^2 mol^(-1)`.
13.

Calculate the molar conductance of 0.01M aqueous KCl solution at 25^(@)C. The specific conductance of KCl at 25^(@)C is 14.114 times 10^(-2)Sm^(-1).

Answer»

Solution :MOLAR conductance `wedge_(m)=(KAPPA times 10^(-3))/Mmol^(-1)m^(3)`
Specific conductance `kappa=14.114 times 10^(-2)Sm^(-1)`
Molar conductance `wedge_(m)=(14.114 times 10^(-2) times 10^(-3))/(0.01)`
`""=14.114 times 10^(-3)Sm^(2)MOL^(-1)`.
14.

Calculate the molar conductance at inifinite dilution for acetic acid, given. wedge_(m)^(oo)(HCl)=425Omega^(-1)cm^(2)mol^(-1),wedge_(m)^(oo)(NaCl)=188Omega^(-1)cm^(2)mol^(-1),wedge_(m)^(oo)(CH_(3)COONa)=96Omega^(-1)cm^(2)mol^(-1).

Answer»


ANSWER :333` Omega^(-1)cm^(2)MOL^(-1)`
15.

Calculate the molality of sulphuric acid solution acid solution with mole fraction of water is 0.85.

Answer»


Solution :`"Mole fraction of WATER" =0.85, "Mole fraction of" H_(2)SO_(4)=1-0.85=0.15`
`"Let"n_(B)"MOLES of " H_(2)SO_(4) "be dissolved in 1000 g of water to represent the molality of the solution"`.
`THEREFORE"No. of moles of water"(n_(A))=(1000g)/((18"g mol"^(-1)))=55.55 mol`
`"No. of moles of "H_(2)SO_(4)(n_(B))`
`n_(B)/(n_(B)+n_(B))=0.15orn_(B)/(n_(B)+55.55)=0.15`
`n_(B)=0.15""n_(B)+55.5xx0.15orn_(B)=(55.5xx0.15)/(0.85)=9.8`.
16.

Calculate the molality of potassium carbonete solution formed by dissolving 2.5 g of it in one litre of solution (density of solution=0.85 g mL^(-1)).

Answer»


Solution :`"MASS of 1000 ML (one litre ) of solution"=Vxxd=(1000mL)xx(0.85"g mL"^(-1))=850g`
`"Mass of solvent (water)"=850g-2.5g)=847.5 g=0.8475 KG`
`"Molar mass of"K_(2)CO_(3)=2xx39+12+3xx16=138" g mol"^(-1)`
`"Molality of solution (m)"("Mass of" K_(2)CO_(3)//"Mola mass")/("Volume of solution in litres")`
`"Molality of solution (m)"("Mass of" K_(2)CO_(3)//"Mola mass")/("Mass of solvent in kg")=((2.6g)//138" g mol"^(-1))/((0.8475kg))=0.021 m`.
17.

Calculate the molalityof NaCl solutionwhoseelevation in boiling pointis equal to thedepressionin freezing point of 0.25 m sodiumcarbonate solutionin waterassumingcompletedissociationof salts. (k_(f) = 1.86 K m^(-1) , k_(b) = 0.52 K m^(-1))

Answer»


SOLUTION :`NaClto NA^(+) + Cl^(-) (i=2)`
`Na_(2)CO_(3)^(2-) (i=3)`
`Delta T_(b) (NACL) = Delta T_(b) (Na_(2)CO_(3))`
` ixx K_(b) xx m = ixx k_(F) xx m`
` 2 xx 0.52 xx m= 3 xx 1.86 xx 0.25`
` m = 1.34` m
18.

Calculate the molality of H_(2)SO_(4) if the density of 10% (w/w) aqueous solution of H_(2)SO_(4) is 1.84 "g cm"^(-3) ("Molar mass of "H_(2)SO_(4)="98 g mol"^(-1)).

Answer»

Solution :10%` (w//w) H_(2)SO_(4)` solution MEANS 10 G `H_(2)SO_(4)` are PRESENT in 100 g of solution, i.e., water present = 90 g
`"Molality "=(10//98)/(90)xx1000=1.13m`
19.

Calculate the molality of a solution that contains 51.2 g of naphthanlene (C_(10)H_(18)) in 500 mL of carbon tetrechloride. Density of C CL_(4) is 1.60 g/ml

Answer»

0.250 m
0.500 m
0.840 m
1.69 m

Solution :`"Mass of" C CI_(4)(W_(A))="Volume "xx"density "`
`=(500ML)xx(1.60 G mL^(-1))=800G =0.8 kg`
`"Molality of "C CI_(4)(m)=("No.ofmoles of napthalene")/("Mass of "C CI_(4)"in kg")`
` =((51.2g)//(128 g mol^(-1)))/((0.8 kg))`
0.5 `mol kg^(-1)=0.5 m`
20.

Calculate the molality of a 1-litre solution of 93% H_(2)SO_(4) (wt./vol). The density of the solution is 1.84 g.mL

Answer»

Solution :The solution is `1000mL` containing `930g` of `H_(2)SO_(4)`
The weight of the solution will be `1840g`. The weight of the SOLVENT `(H_(2)O)` will therefore be `(1840-930)` i.e.910g
`:.` molality `=("mole of" H_(2)SO_(4))/("wt.of"H_(2)O(G))xx1000`
`=(930//98)/(910)xx1000=10.428m`
21.

Calculate the molality of 1 litre solution of 93% H_(2)SO_(4) (weight / volume). The density of the solution is "1.84 g mL"^(-1).

Answer»


Solution :`93% H_(2)SO_(4)(w//v)=93 g H_(2)SO_(4)" in 100 cm"^(3)" of the solution = 93 g in 184 g of the solution"`
`therefore"Solvent (water) "=184-93 = 91 g = 0.091 kg,"Molality "=("93/98 mol")/("0.091 kg")=10.43 m.`
22.

Calculate the molality of 1 litre solution of 93% H_(2)SO_(4) (weight/volume). The density of the solution is "1.84 g mL"^(-1)

Answer»

SOLUTION :`93%H_(2)SO_(4)(w//v)=93gH_(2)SO_(4)` in `100CM^(3)` of the solution = 93 g in 184 g of the solution
`therefore" SOLVENT (WATER )"=184-93=91g=0.091kg" ,Molality"=(93//98mol)/(0.091kg)=10.43m.`
23.

Calculate the molality and mole fraction of 2.5 g of ethanoic acid (CH_(3)COOH) in 75 g of benzene.

Answer»

Solution :Mass of solute `(CH_(3)COOH)="2.5 G,Mass of solvent "(C_(6)H_(6))="75 g = 0.075 KG"`
`"Molar massof "CH_(3)COOH="60 g mol"^(-1),"Molar mass of "C_(6)H_(6)="78 g mol"^(-1)`
Calculation of molality : Moles of the solute `(CH_(3)COOH)=("2.5 g")/("60 g mol"^(-1))=0.0417`
`"Molality"=("Moles of the solute")/("Mass of the solvent in kg")=("0.0417 mol")/("0.075 kg"="0.556 mol kg"^(-1)`
Calculation of MOLE fraction : Moles of solute `(n_(CH_(3)COOH))="0.0417 calculated above"`
`"Moles of solvent "(n_(C_(6)H_(6)))=("75 g")/("78 g mol"^(-1))=0.961`
Mole fraction of `CH_(3)COOH` in the solution `=(n_(CH_(3)COOH))/(n_(CH_(3)COOH)+n_(C_(6)H_(6)))=0.0416`
24.

Calculate the molality and mole fraction of the solute in aqueous solution containing 3.0 g of urea (molar mass = 60 "g mol"^(-1)) per 250 g of water.

Answer»

SOLUTION :`"Molality = 0.2 mol KG"^(-1), "Mole FRACTION "=0.00359`
25.

Calculate the molality and molarity of a solution made by mixing equal volumes of 30% by weight of H_(2)SO_(4) (density =1.218g//mL) and 70% by weight of H_(2)SO_(4) (density =1.610g//mL)

Answer»

Solution :Suppose that the solution contains 100mL of each variety of `H_(2)SO_(4)`. Total volume is THEREFORE `200ML` or `0.02` litre
WT.of `100mL` of `H_(2)SO_(4)` solution `(30%)=1.218xx100`
`=121.8g`
and wt.of `100mL` of `H_(2)SO_(4)` solution `(70%)=1.610xx100`
`=161g`
Wt. of `H_(2)SO_(4)(30%)=121.8xx(30)/(100)=36.54g`
Wt. of `H_(2)SO_(4)(70%)=161xx(70)/(100)=112.7g`
Total wt of `H_(2)SO_(4)` (solute) =`36.54+112.7=149.24g`
`:.` wt of `H_(2)O` (solvent) = wt.of solution `-` wt.of solute
`=(121.8+161)-149.24`
`=133.56g`
Moles of `H_(2)SO_(4)=(149.24)/(8)=1.5228` (mol wt of `H_(2)SO_(4)=98`)
MOLALITY `=(1.5228)//(133.56)xx1000=11.4m`
Molarity `=(1.5228)/(0.2)=7.6M`
26.

Calculate the molality and molarity of a solution made by mixing equal volumes of 30% by weight of H_2SO_4 (density = 1.20 g/mL) and 70% by weight of H_2SO_4 (density = 1.60 g/mL).

Answer»


ANSWER :11.44 m, 7.55 M
27.

Calculate the molality and molarity of a solution made by mixing equal volumes of 30% by weight of H_(2)SO_(4) (density=1.20g//ml) and 70% by weight of H_(2)SO_(4) (density=1.60g//mL)

Answer»


Solution :Suppose that the solution contains `100 ml` of each variety of `H_(2)SO_(4)`. TOTAL solution is, `200 ml` or `0.2` LITRE `WT.` of `100 ml` of `H_(2)SO_(4)` solution `(30%)=1060xx100=160` gram
`wt.` of `H_(2)SO_(4)(30%)=120xx(30)/(100)=36` gram
`wt.` of `H_(2)SO_(4)(70%)=160xx(70)/(100)=112` gram
Total `wt.` of `H_(2)SO_(4)` (SALUTE) `=36+112=148` gram
`therefore wt.` of `H_(2)O`(solvent) `=wt.` of solution`-wt.` of solute
`=(120+160)-148`
`=280-148=132` gram
Moles of `H_(2)SO_(4)=(148)/(98)=1.51` (mol `wt.` of `H_(2)SO_(4)=98`)
Molality `=(1.51)/(132)xx1000=11.44m`
Molarity `=(1.51)/(0.2)=7.55 M`
28.

Calculate the molal lowering of vapour pressure for H_(2)O at 100^(@)C.

Answer»

<P>

Solution :Molal lowering of vapour pressure is the lowering of vapour pressure of water when 1 mole of the SOLUTE is dissolved in `1000g` of the SOLVENT `(H_(2)O)`. Further, vapour pressure of pure water `(p^(0))` at `100^(@)C` will be `760MM` as `100^(@)C` is its boiling point.
Now, we have,
lowering of v.p. `=p^(0)-p=p^(0)((n)/(n+N))`
`=p^(0)((n)/(N))`
`=760xx(1)/(1000//18)((n=1),(N=(1000)/(18)))`
`=13.68`mm
29.

Calculate the molal depression constant of water. Latent heat of fusion of ice at 0^(@) at 80 calories per gram

Answer»


ANSWER :`1.84^(@)`
30.

Calculate the molal elevation constant of water, it being given that its latent heat of vaporisation is 2.257 kJ//g.

Answer»

SOLUTION :`K_(b)=(RT_(0)^(2))/(1000l_(v))=(8.314JK^(-1)"mol"^(-1)xx(373K)^(2))/(1000gkg^(-1)xx2257Jg^(-1))="0.512 K KG mol"^(-1)`
31.

Calculate the molal depression constant of a solvent which has freezing point 16.6^(@)C and latent heat of fusion 180.75 Jg^(-1)

Answer»

`2.68`
`3.86`
`4.68`
`2.86`

SOLUTION :`K_(f)=(RT_(f)^(2))/(1000xx L_(f)), R=8.314 JK^(-1)MOL^(-1)`
`T_(f)=273+16.6=289.6K , L_(f)=180.75 JG^(-1)`
`K_(f)=(8.314xx289.6xx289.6)/(1000xx180.75)=3.86`
32.

Calculate the molal elevation constant for chloroform from the fact its boiling point is 61.2^(@)C and 0.1 molal solution of an organic substance in chloroform boiled at 61.579^(@)C.

Answer»

SOLUTION :`"3.79 K KG MOL"^(-1)`
33.

Calculate the molal elevation constant of water, it being given that 0.1 molal aqueous solution of a substance boiled at 100.052^(@)C.

Answer»

Solution :Here, we are GIVEN that m = 0.1
Boiling point of solution `= 100.052^(@)C "" therefore "" Delta T_(B)=100.52-100=0.052^(@)C`
APPLYING the relationship, `Delta T_(b)=K_(b)`. m, we GET `K_(b)=(Delta T_(b))/(m)=(0.052^(@)C)/(0.1 m)=0.52^(@)C//m`
34.

Calculate theminimum weight of NaOH required to be added in R.H.S. to consume all the H^(+) present in R.H.S of cell of e.m.f. +0.701 V at 25^(@)C before its use. Also report the e.m.f. of cell after addition of NaOH. {:Zn|{:(Zn^(2+)),(0.1 M):}||{:(HCl),(1 "litre"):}|{:(Pt_(H_(2(g)))),(1 "atm"):}, E_(Zn//Zn^(2+))^(@) = +0.760 V

Answer»


ANSWER :`1.264g, 0.3765 V ;`
35.

Calculate the minimum uncertainty in velocity of a particle of mass 1.1 xx 10^(-27) kg if uncertainty in its position is 3 xx 10^(-10)cm. (h= 6.62 xx 10^(-34)kg.m^(2) s^(-1))

Answer»

Solution :We have, `Deltax.Deltap= (h)/(4pi)`
`DELTA x. (m Delta V)= (h)/(4pi)`
or `Delta v= (h)/(4pi) .(1)/(m Delta x)`
`=(6.62 xx 10^(-34) (kg.m^(2)s^(-1)))/(4 xx 3.14 xx (1.1 xx 10^(-27)kg) xx (3 xx 10^(-12) m))`
`=1.6 xx 10^(4) ms^(-1)`
36.

Calculate the minimum potential (eV) which must be applied to a fr ee electron so that it has enough energy to excite, upon impact, the electron in a hydrogen atom from its ground state to a state of n = 5.

Answer»


SOLUTION :For hydrogen ATOM,
`DeltaE = E_(5)-E_(1)`
`=(13.6)/(5)^(2) -(-13.6)/(1)^(2)`
`=(-13.6)/25 + 13.6`
`=-0.544 + 13.6`
`=13.05` EV
37.

Calculate the minimum number of kWh of electricity required to produce 1.0 kg of Mg from electrolysis of molten MgCl_(2) if the applied emf is 5.0 V. (1kWh = 3.6 xx 10^(6)J)

Answer»


ANSWER :11.0 KWH
38.

Calculate the minimum number of kilowatt-hours of electricity required to produce 100 kg of Al by electrolysis of Al^(3+) if the required emf is 4.50 V.

Answer»

SOLUTION :The no. of FARADAY required for electrolysis
= number of eq. of AL deposited
`= (10^(6))/(27//3)F = (10^(6))/(9)F`.
Charge `= (10^(6))/(9) xx 96500` coulombs.
`= 1.07 xx 10^(10)C`.
`therefore` electric energy `= 1.07 xx 10^(10) xx 4.50 J = 4.815 xx 10^(10)J ""(because J = C xx V)`
kilowatt-hours `= (4.815 xx 10^(10))/(3.6 xx 10^(6))kWh ""(because 1 kWh = 3.6 xx 10^(6)J)`
`= 1.34 xx 10^(4) kWh`.
39.

Calculate the minimum mass of AB_(2) (s) which must be added to 100 mL water (in mg) to form a saturated solution. K_(sp) (AB_(2)) = 3.2 xx 10^(-11) M_(w.t) [AB_(2)(s)] = 100 g//"mole"

Answer»


ANSWER :`0002`
40.

Calculate the Miller indices of crystal planes which cut through the crystal axes at (a, b, c), (2a, b, c) and (2s, - 3b, - 3c).

Answer»


ANSWER :[(1,1,1),(1,2,2), (3,2,2)]`
41.

Calculatethe maximum workwhen24 g of oxygenare expandedisothermallyand reversiblyfrom apressureof1.6 xx 10^(5)Pa to 100Kpaat 298 K.

Answer»


Solution :Given :mass ofoxygen= W=24 g
Initialpressure`= P_(1)= 1.6 xx 10^(5)pa`
Finalpressure`= P_(2)=100kP_(a) = 100 xx 10^(3)Pa= 1 xx 10^(5) Pa`
Temperature=T =298 K
MOLARMASS ofoxygen`(O_(2)) = M_(O_(2)) = 32g mol^(-1)`
`W_(max)= ?`
Numberof molesof `O_(2)= n_(O_(2)) = (W)/(M_(O_(2)))= (24)/(32) = 0.75mol`
`W_(max) =- 2.303nRT log_(10) .(P_(1))/(P_(2))`
`=- 2.303xx 0.75 xx 8.314xx 298log_(10).(1.6 xx 10^(5))/(1xx 10^(5))`
`=- 2.303xx 0.75xx 8. 314xx 298xx log_(10) 1.6`
`=- 2.303 xx 0.75xx 8.314xx 298xx 0. 2041`
`=- 873.5 J`
42.

Calculate the maximum work done when pressure on 10 g of hydrogen is reduced from 20 to 1 atm at a constant temperature of 273 K. The gas behaves ideally. Will there be any change in internal energy ? Also, calculate 'q'.

Answer»

Solution :We have,
`W=-2.303"nRT"log.(p_(1))/(p_(2))` …(Eqn. 4a)
n=number of moles of hydrogen`=("wt.in grams")/("mol.wt.")=(10)/(2)=5 "moles" `
Thus `W=-2.303xx5xx2xx273xxlog.(20)/(1)`
`=-8180 "CALORIES"`
Further, the CHANGE in state of the SYSTEM is from a GAS to a gas and THEREFORE, at constant temperature, internal energy will not change, i.e.,
`DeltaU=0`
Again, `q=DeltaU-W`
`0-(-8180)=8180 "calories"`.
43.

Calculate the maximum work and log K_(c)for the given reaction at 298 K : Ni(s)+2Ag^(+)(aq) iff Ni^(2+)(aq)+2Ag (s) ["Given :"E^(@)_(Ni^(2+)//Ni)=-0.25V,E^(@)_(Ag^(+)//Ag)=+0.80V,1F=96500C mol^(-1)]

Answer»

Solution :`Ni(s)+2Ag^(+)(aq)iff Ni^(2+)(aq)+2Ag(s)`
`E^(@)_("cell")=0.80V-(-0.25V)=1.05V`
`E^(@)_("cell")=(0.059)/(2)LOG K_(C)`
or `""1.05V=(0.059)/(2)log K_(c)`
or `""log K_(c)=(1.05xx2)/(0.059)=35.59`
`Delta_(R)G^(@)=-NF E^(@)_("cell")`
`=-2xx96500C mol^(-1)xx1.05V`
`=-202650" J mol"^(-1)`
`=-202.65" kJ mol"^(-1)`
44.

Calculate the maximum possible electrical work that can be obtined from the cell under the standard conditions at 298 K Zn|Zn^(2+)(aq)||Ni^(2+)(aq)|Ni(s) Given E_(Zn^(2+))^(@)(aq)|Zn(s)=-0.76" V ", E_(Ni^(2+))^(@)(aq)|Ni(s)=-0.25" V "

Answer»


SOLUTION :`E_(cell)^(@)=E_((CATHODE))^(@)-E_((anode))^(@)=[(-0.25)-(-0.76)]=0.51" V"`
n=2,F=96500" C"`
DeltaG^(@)=-nFE_(cell)^(@)=(-2)xx(96500C)xx(0.51" V")=-98430" CV"=-98430" J"=-98.430" kJ"`.
45.

Calculate the maximum possible electric work that can be obtained from the following cell under the standard conditions at 25^(@)C : Given Zn|Zn^(2+)(aq)||Sn^(2+)(aq)|Sn(s) At 25^(@)C,E_(Zn^(2+)(aq)|Zn(s))^(@)=-0.76V E_(Sn^(+)(aq)|Sn(s)=-0.14V.)^(@) F=96500C" mol"^(-1)

Answer»

Solution :`E_("CELL")^(@)=E_("cathode")^(@)-E_("anode")^(@)`
`E_("cell")^(@)=-0.14-(-0.76)`
`=-0.14+0.76`
`=+0.62`
`DELTAG^(@)=-nFE_("cell")^(@)`
`=-2xx96500xx0.62`
`=-11966CV(J)`
`DeltaG^(@)=-11.966kJ`.
46.

Calculate the max. work done by system in an irreversible (single step) adiabatic expansion of 1 mole of a polyatmic gas (gamma=1.33) from 300 K and pressure 10 atm to 1 atm.

Answer»

SOLUTION :`-1.683kJ`
47.

Calculate the massof oxygen obtained by complete decomposition of 10kg of pure potassium chlorate (Atomic mass K=39,O=16 and Cl=35.5).

Answer»

39.2kg
392kg
3.92kg
3kg

Solution :`2KCIO_(3)(s)rarr2KCI(s)+3O_(2)(g)`
2 mol 3 mol
`2xx122.5g 3xx32g`
=245g =96g
Mass of `O_(2)` obtained from 10kg `KCIO_(3)=(96)/(245)xx10=3.92` kg
48.

Calculate the mass present of calcium, phosphorus and oxygen in calcium phosphate Ca_(3)(PO_(4))_(2).

Answer»

Solution :Molar MASS of `Ca_(3)(PO_(4))_(2)=3xx40+(31+64)xx2=120+190=310" g MOL"^(-1)`
Ca PRESENT = 120 g. P present `=2xx31=62g, "O present "=2xx64=128g`
`%" of Ca"=(120)/(310)xx100=38.71%`
`%" of P"=(62)/(310)xx100=20.0%`
`%" of (O)=(128)/(310)xx100=41.29%.`
49.

Calculate the mass percentage of benzene (C_6H_6)and carbon tetrachloride (CCl_4) if 22g of benzene is dissolved in 122g of CCl_4

Answer»

SOLUTION :MASS PERCENTAGE of `C_6H_6`=(Mass of `C_6H_6`)/(Mass of solution)`XX100 =(22xx100)/(22+122)=15.28%`
Mass percentage of `CCl_4= (122xx100)/(22+122)=84.72%`
50.

Calculate the mass percentage of benzene (C_(6)H_(6)) and carbon tetrachloride (C Cl_(4)) if 22 of benzene is dissolved in 122 g of carbon tetrachloride.

Answer»

SOLUTION :Mass PERCENTAGE of `C_(5)H_(6)`
`= ("Mass of " C_(6)H_(6))/("Total mass of the solution")XX100%`
`= ("Mass of "C_(6)H_(6))/("Mass of "C_(6)H_(6)+"Mass of " C Cl_(4))xx100%`
`=(22)/(22+122)xx100%=15.28%`
Mass percentage of `C Cl_(4)`
`=("Mass of "C Cl_(4))/("Total mass of the solution")xx100 %`
`= ("Mass of "C Cl_(4))/("Mass of "C_(6)H_(6)+" Mass of "C Cl_(4))xx 100%`
`=(122)/(22+122)xx100%=84.72 %`
Alternatively,
Mass percentage of `C Cl_(4)=(100-15.28)%`
= 84.72 %.