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 mass percentage of benzene (C_(6)H_(6)) and carbon tetrachloride ("CCl"_(4)) if 22 g of benzene is dissolved in 122 g of carbon tetrachloride.

Answer»

Solution :MASS of solution = Mass of BENZENE + Mass of barbon tetrachloride `=22g+122g=144G`
`"Mass percentage of benzene"=("Mass of benzene")/("Mass of solution")xx100=(22g)/(144g)xx100=15.28%`
`"Mass percentage of CCl"_(4)=("Mass of CCl"_(4))/("Mass of solution")xx100=(122)/(144)xx100=84.72%`
Alternatively, mass percentage of `"CCl"_(4)=100-"Mass percentage of benzene "=100-15.28=84.72%`.
2.

Calculate the mass percentage of benzene (C_6H_6)and carbon tetrachloride ("CCI"_4) if 22 g of benzene is dissolved in 122 g of carbon tetrachloride.

Answer»

SOLUTION :Mass of solution = Mass of benzene + Mass of carbon tetrachloride = 22 g + 122 g = 144g
Mass PERCENTAGE of benzene = Mass of benzene /Mass of solutionx 100
`= (22g)/(144g) XX 100 = 15.28%`
Mass percentage of`"CCl"_4 = ("mass of CCl"_4)/("mass of solution") xx 100 = 122/144 xx 100 = 84.72%`
3.

Calculate the mass percentage of aspirin (C_(9)H_(8)O_(4)) in acetonitrile (CH_(3)CN) when 6.5 g of (C_(9)H_(8)O_(4)) is dissolved in 450 g of :

Answer»

Solution :6.5 g of `C_(9)H_(8)O_(4)` is dissolved in 450 g of `CH_(3)CN`.
Then,total MASS of the solution
`= (6.5+45)g`
= 456.5 g
Therefore, mass PERCENTAGE of `C_(9)H_(8)O_(4)`
`=(6.5)/(456.5)xx100`
`= 1.424 %`.
4.

Calculate the mass percentage of aspirin (C_(9)H_(8)O_(4)) in acetonitrile (CH_(3)CN) when 6.5 g of C_(9)H_(8)O_(4) is dissolved in 450 g of CH_(3)CN.

Answer»

Solution :`"MASS percent of ASPIRIN "=("Mass of aspirin")/("Mass of aspirin "+"Mass of acetonitrile")XX100=(6.5)/(6.5xx450)xx100=1.424%.`
5.

Calculate the mass percentage of aspirin (C_9H_8O_4) in acetonitrile (CH_3CN) when 6.5 g of C_9H_5O_4is dissolved in 450 g of CH_3CN .

Answer»

Solution :MASS per CENT of ASPIRIN = (Mass of aspirin)/(Mass of aspirin + Mass of acetonitrile)x100
` = (6.5)/(6.5 + 450) XX 100 = 1.424%`
6.

Calculate the mass per cent of different elements present in sodium sulphate (Na_(2)SO_(4))?

Answer»

Solution :`"Mass "%" of an element"=("Mass of that element in the COMPOUND")/("Molar mass of the compound")xx100`
`"Now, molar mass of "Na_(2)SO_(4)=2(23.0)+32.0+4xx16.0="142 G MOL"^(-1)`
`"Mass PERCENT of sodium"=(46)/(142)xx100=32.39%`
`"Mass per cent of sulphur"=(32)/(142)xx100=22.54%`
`"Mass per cent of oxygen"=(64)/(142)xx100=45.07%`
7.

Calculate the mass of zinc required to produce enough hydrogen to reduce completely 6.7 g of copper oxide of copper ?

Answer»


ANSWER :(i) 0.169 G (II) 5.493 g
8.

Calculate the mass of urea (NH_(2)CONH_(2)) required in making 2.5 kg of 0.25 molal aqueous solution.

Answer»

Solution :0.25 molal aqueous solution of UREA means that
Moles of urea = 0.25 mole.`""` MASS of solvent (water) = 1 kg = 1000 g
`"Molar mass of urea "(NH_(2)CONH_(2))=14+2+12+16+14+2="60 g mol"^(-1)`
`therefore"0.25 mole of urea "="0.25 mole "xx"60 g mol"^(-1)=15g`
THUS, 1.015 kg of solution contain urea = 15 g
`therefore"2.5 kg of solution will require urea "=(15 g)/(1.015 kg)xx2.5kg=37g.`
9.

Calculate the mass of urea (NH_2CONH_2)required in making 2.5 kg of 0.25 molal aqueous solution.

Answer»

Solution :0.25 molal aqueous solution of urea means 0.25 moles of urea are present in 1000 G of water.Molar mass of urea `(NH_2 CONH_2) = 60 g "MOL"^(-1)`
` therefore ` 0.25 mole of urea CONTAINS 0.25 mole `xx 60 g "mol"^(-1) = 15 g`
Total mass of solution = 1000 g + 15 g = 1015 g = 1.015 kg
THUS, 1.015 kg of solution contain urea = 15 g
2.5 kg of solution will require urea = `(15)/(1.015) xx 2.5 = 36.946 g `
10.

Calculate the mass of silver deposited from silver nitrate solution by a current of 2 amperes flowing for 30 minutes (equivalent mass of silver is 108).

Answer»


ANSWER :4.029 G
11.

Calculate the mass of silver deposited from silver nitrate solution by a current of 2 amperes flowing for 30 minutes?

Answer»

SOLUTION :`M= Z l t`
`M=(108 times 2 times 30 times 60)/(96,500)`
`M=4.029g `
OR
`Q = l t`
`Q=2 times 30 times 60`
=3600 C
M=ZQ
`=108/(96,500) times 3600`
=4.029g
Or
`Q= l t`
`Q=2 times 30 times 60=3600C`
FOr 96,500 C mass of silver DEPOSITED is 108g
`THEREFORE` for 3600... it is
`(3600 times 108)/(96,500)=4.029g`
12.

Calculate the mass of NaCI (molar mass =58.5 g mol^(-1)) to be dissoved in 37.2 g of water to lower the freezing point by 2^(@)C assuming that NaCI underfoes complete dissocilation in aqueous solution (K_(f) for water = 1.86 K kg mol^(-1)).

Answer»


SOLUTION :`i=(DeltaT_(f))/(K_(f)xxm)=(DeltaT_(f)xxM_(B)xxM_(A))/(K_(f)xxW_(B))or W_(B)=(DeltaT_(f)xxM_(B)xxM_(A))/(ixxK_(f))`
`i=2("for complete dissciation of NaCI"),K_(f)=1.86" K kg mol"^(-1)`
`DeltaT_(f)=2K, M_(B)=58.5" g mol"^(-1), M_(A)=37.2 g=0.037 kg`
`W_(B)=((2K)xx(58.5"gmol"^(-1))xx(0.037 kg))/(2XX(1.86" K kg mol"^(-1)))=1.16 g`
13.

Calculate the mass of NaCl (molar mass = 58.5 g "mol"^(-1)] to be dissolved in 37.2 g of water to lower the freezing point by 2^@C, assuming that NaCl undergoes complete dissociation.

Answer»

Solution :APPLY the equation,
`M_2 = (K_f xx w_2 xx 1000)/(Delta T_f xx w_1)`
`58.5 = (1.86 xx w_2 xx 1000)/(2 xx 37.2) `
`w_2 = (58.5 xx 2 xx 37.2)/(1.86 xx 1000) = 2.34 g `
NaCl molecule ionises to give `Na^+` and `Cl^-`ions. Thus, ONE PARTICLE gives TWO particles in solution.
` THEREFORE ` Mass of NaCl required` = 1/2 xx 2.34 = 1.17 g`
14.

Calculate the mass of Na_(2)CO_(3) which will have the same number of molecules as contained in 12.3 g of MgSO_(4).7 H_(2)O.

Answer»


Solution :`12.3" g MgSO_(4).7H_(2)O=(12.3)/((24+32+64+126))MOL=(12.3)/(246)mol=0.05mol`
`0.05mol Na_(2)CO_(3)=0.05xx106g=5.3g`
15.

Calculate the mass of mercury which can be liberated from HgO at 25^(@)C by the treatment of excess HgO with 41.84 kJ of heat at : (a) constant pressure (b) constant volume Given : Delta H_(f)^(@)(HgO, s) = -90.8 kJ mol^(-1) & M(Hg) = 200.6 g mol^(-1).

Answer»


SOLUTION :(a) `HGO rarr Hg+1/2 O_(2) ""DeltaH=90.8`
For `41.84 KJ` heat, MASS of `Hg=200.6/90.8 xx41.84=-92.435 g`
(b) Calculate at constant VOLUME
16.

Calculatethe mass of Mgand thevolumeof Chlorinegas at NTPproducedduringthe electrolysis ofmolten MgC1_(2)by thepassageof 2 amperesof currentfor 1 hour. MolarmassesofMg and C1_(2) are 24 g mol^(-1) and 71 g mol^(-1) resectively

Answer»

Solution :MASS ofMgproduced= 0. 8953 G
Volumeof `C1_(2(g))` at NTPproduced= 835.6 `cm^(3)`
17.

Calculate the mass of mercury which can be liberated from HgO at 25^(@)C by the treatment of excess HgO with 41.84 kJ of heat at (a) constant pressure (b) constant volume conditions Given : Delta H_(f)^(@) (Hg O, s) = -90.8 kJ mol^(-1)& M (Hg) = 200.6 g mol^(-1)

Answer»

SOLUTION : (a) 92.435 G(B) 93.72 g
18.

Calculate the mass of KClO_3 required to produce 9.6 gm of oxygen.

Answer»


ANSWER :24.5 G
19.

Calculate the mass of iron which will be converted into the oxide (Fe_(3)O_(4)) by the action of 18 g of steam on it.

Answer»

Solution :The chemical equation representing the reaction is :
`underset("= 168 g")underset(3xx56)(3Fe)+underset("= 72 g")underset(4xx18)(4H_(2)O)RARR Fe_(3)O_(4)+4H_(2)`
Thus, 72 g of STEAM react with 168g of iron
`therefore"18 g of steam will react with "(168)/(72)xx18="42 g of iron"therefore"Mass of iron required = 42 g"`
20.

Calculate the mass of iron required to be converted into its oxide (Fe_3O_4) by the action of 23.4 g of steam on it .

Answer»


ANSWER :54.6 G
21.

Calculate the mass of (i) 0.1 mole of KNO_(3) (ii) 1xx10^(23) molecules of methane and (iii) 112cm^(3) of hydrogen at STP.

Answer»

Solution :(i) `"1 mole of "KNO_(3)=101g""(because" Formula mass of "KNO_(3)=1xx39+1xx14+3xx16=101u)`
`therefore"0.1 mole of KNO"_(3)=101xx0.1`
`=10.1" g OG "KNO_(3)`
(ii) 1 mole of `CH_(4)=16g=6.022xx10^(23)` molecules
i.e., `6.022xx10^(23)` molecules of methane have mass = 16 g
`therefore""1xx10^(23)` molecules of methane will have meas`=(16)/(6.022xx10^(23))xx10^(23)=2.657g.`
(iii) 1 mole of `H_(2)=2g=22400cm^(3)` at STP, i.e., 22400 `CM^(3)` of `H_(2)` at STP have mass = 2 g
`therefore""112CM^(3)" of "H_(2)" at STP will have mass"=(2)/(22400)xx112=0.01g.`
22.

Calculate the mass of hydrogen gas evolved by passing a current of 0.5 ampere for 40 minutes through acidified water.

Answer»

SOLUTION :`m=Zit`
or `m=(E l t)/(96.500)`
`m=(1 times 0.5 times 40 times 60)/(96,500)`
=0.0124 g
23.

Calculate the mass of compound (molar mass = 256 g mol^(-1) ) to be dissolved in 75 g of benzene to lower its freezing point by 0.48 K(K_(f) = 5.12 "Kkg " mol^(-1)) .

Answer»

SOLUTION :Given : `Delta T_(f) = (K_(f) W_(2) xx 1000)/(W_(1) xx M_(2))`
0.48 K = 5.12 k KG `mol^(-1) xx (W_(2))/(75 xx 256) xx 1000`
`W_(2) = (0.48 xx 75 xx 256)/(5.12 xx 1000)`
`W_(2) ` = 1.8 g
24.

Calculate the mass of compound (molar mass = 256 g "mol"^(-1) ) to be dissolved in 75 g of benzene to lower its freezing point by 0.48 K (K_f = 5.12 K kg "mol"^(-1)).

Answer»

SOLUTION :Apply the formula
`M_2 = (K_f xx w_2 xx 1000)/(Delta T_f xx w_1)`
substituting the values , we have
`256 = (5.12 kg "MOL"^(-1) xx WG xx 1000 g kg^(-1) )/(0.48 K xx 75 g)`
` w = (256 xx 0.48 xx 75)/(5.12 xx 1000) g = 1.8 g `
25.

Calculate the mass of compound (molar mass = "256 g mol"^(-1)) to be dissolved in 75 g of benzene to lower its freezing point by 0.48 K (K_(f)="5.12 K kg mol"^(-1))

Answer»


SOLUTION :`w_(2)=(M_(2)xxDeltaT_(f)xxw_(1))/(1000xxK_(f))=(256xx0.48xx75)/(1000xx5.12)g=1.8g`
26.

Calculate the mass of CO_(2) which contains the same number of molecules as are contained in 40 g of oxygen.

Answer»


SOLUTION :40 G `O_(2)=40//32` MOLES = 1.25 moles
1.25 moles of `CO_(2)=1.25xx44g=55g` (Equal moles contain equal NUMBER of molecules)
27.

Calculate the mass of calcium oxide formed when 25 g of 80% pure lime stone is completely decomposed on heating.

Answer»


ANSWER :11.2 G of CAO FORMED
28.

Calculate the mass of CaO and CO_2 formed by heating 10 gms of CaCo_3.

Answer»


ANSWER :5.6 G ,4.4 g
29.

Calculate the massof ascorbic acid (Vitamin C, C_(6)H_(8)O_(6)) to be dissolved in 75g of acetic acid to lower its melting point by 1.5^(@)C. K_("f")=3.9" K kg mol"^(-1). Since, lowering of melting point is given apply the formula for lowering of melting point, i.e., DeltaT_("f")=K_("f").m DeltaT_("f")=(K_("f").W_(B))/(M_(B)xxW_(A))" or "W_(B)=(DeltaT_("f").M_(B).W_(A))/(K_("f"))

Answer»

SOLUTION :Mass of ascorbic acid `(W_(A))=75" g"=0.075" kg"`
Depression in melting point `(DeltaT_("F"))=1.5^(@)C=1.5" K"`
Molar mass of ascorbic acid `(M_(B))=(12xx6)+(8xx1)+(16xx6)=176" g mol"^(-1)`
Molal depression constant `(K_("f"))=3.9" K kg mol"^(-1)`
`W_(B)=((176" g mol"^(-1))xx(1.5" K")xx(0.075" kg"))/((3.9" K kg mol"^(-1)))=5.08" g"`
30.

Calculate the mass of ascorbic acid (Vitamin C, C_6H_8O_6) to be dissolved in 75 g of acetic acid to lower its melting point by 1.5^@C. K_f = 3.9 K kg "mol"^(-1) .

Answer»

Solution : Lowering in melting point `(DELTA T_f) = 1.5^@`
Mass of solvent `(CH_3COOH), w_1 = 75 g`
Molar mass of solvent `(CH_3COOH), M_1= 60 g "mol"^(-1)`
Molar mass of solute `(C_6H_8O_6), M_2 = 72 + 8 + 96 = 176 g "mol"^(-1)`
For ACETIC acid, `K_f = 3.9 K kg "mol"^(-1)`
Applying the formula, ` M_2 = (1000 K_f w_2)/(w_1 Delta T_f) " or " w_2 = (M_2 xx w_1 xx Delta T_f)/(1000 xx K_f)`
Substituting the values, we get
` w_2 = ((176 g "mol"^(-1) )(75G)(1.5K))/((1000 g kg^(-1) )(3.9 K kg "mol"^(-1) )) = 5.077 g `
31.

Calculate the mass of ascorbic acid (Vitamin C, C_(6)H_(8)O_(6)) to be dissolved in 75 g g of acetic acid to lower its melting point by 1.5^(@)C, [K_(f)=3.9" K kg mol"^(-1)].

Answer»

Solution :Mass of ACETIC acid, `w_(1)=75 G`
Molar mass of ascoric acid `(C_(6)H_(8)O_(6))`,
`M_(2)=6xx12+8xx1+6xx16=176g mol^(-1)`
Lowering of melting point, `Delta T_(f)=1.5 K`
We know that :
`K_(f)=3.9" K kg mol"^(-1)`
`Delta T_(f)=(K_(f)XX w_(2)xx1000)/(M_(2)xx w_(1))`
`w_(2)=(Delta t_(f)xx M_(2)xx w_(1))/(K_(f)xx1000)=(1.5xx176xx75)/(3.9xx1000)`
= 5.08 gram
= 5.08 g (approx)
Hence, 5.08 g of ascorbic acid is needed to be dissolved.
32.

Calculate the mass of ascorbic acid (Molar mass = 176 g mol^(-1)) to be dissolved in 75 g of acetic acid, to lower its freezing point by 1.5^(@)C. [K_(f)=3.9"K kg mol"^(-1)]

Answer»

Solution :Apply the relation
`M_(2)=(K_(f)XX w_(2) xx 1000)/(DeltaT_(f) xx w_(1))`
Given: `K_(f)=3.9"K kg MOL"^(-1), M_(2)=176" g mol"^(-1), DeltaT_(f)=1.5""^(@)C, w_(1)=75g`
Substituting the values in the equation above, we have
`176" g mol"^(-1)=(3.9"K kg mol"^(-1) xx w_(2) xx 1000)/(1.5K xx 75g)`
or `w_(2)=(176"g mol"^(-1)xx1.5K xx 75g)/(3.9"K kg mol"^(-1) xx 1000"g kg"^(-1))`
`=(176xx1.5xx75)/(3.9xx1000)=5.077g`
33.

Calculate the mass of aluminium deposited at cathode when 193 C ofcurrent is passed through molten electrolyte containing dissolved alumina.

Answer»

SOLUTION :`3xx96500`Ccan DEPOSIT 1 mole of Al atoms i.e 27 G.
`therefore193C......(193xx27)/(3xx96.500)=0.018g` of Al
34.

Calculate the mass of Ag deposited at cathode when a current of 2 amperes was passed through a solution AgNO_(3) for 15 minutes.

Answer»


ANSWER :2.014
35.

Calculate the mass of a single atom of sulphur and a single molecule of carbon dioxide.

Answer»

Solution :Gram -atomic mass of SULPHUR =32g
Mass of one sulphur atom `=("gram atomic mass")/(6.02xx10^(23))`
`=(32)/(6.02xx10^(23))=5.33xx10^(-23)g`
Formula of carbon dioxide `=CO_(2)`
Molecular mass of `CO_(2)=12+2xx16=44`
Gram-molecular mass of `CO_(2)=44g`
Mass of one molecular of `CO_(2)=("Gram molecular mass")/(6.022xx10^(23))`
`=(44)/(6.02xx10^(23))=7.308xx10^(-23)g`.
36.

Calculate the mass of a non - volatile solute (molar mass 40 g) which should be dissolved in 114 g octane to reduce its vapour pressure to 80%.

Answer»

<P>

Solution :Let the vapour pressure of pure OCTANE be `p_(1)^(0)`
`(80)/(100)p_(1)^(0)=0.8 p_(1)^(0)`
Molar mass of solute, `M_(2)=40 g mol^(-1)`
Mass of octane, `w_(1)=114 g`
Molar mass of octane, `(C_(3)H_(18))`,
`= M_(1)=8xx12+18xx1=114 g mol^(-1)`
Applying the reaction,
`(p_(1)^(0)-p_(1))/(p_(1)^(0))=(w_(2)xxM_(1))/(M_(2)xx w_(1))`
`therefore (p_(1)^(0)-0.8 p_(1)^(0))/(p_(1)^(0))=(w_(2)xx114)/(40xx114)`
`therefore (0.2 p_(1)^(0))/(p_(1)^(0))=(w_(2))/(40)`
`therefore w_(2)=8 g`
37.

Calculate the mass of a non-volatile solute (molar mass "40 g mol"^(-1)) which should be dissolved in 114 g octane to reduce its vapour pressure to 80%.

Answer»

Solution :Reduction of vapour pressure to `80` means that if `p^(@)=" 100 mm, then "p_(s)="80 mm."`
Applying complete formula
`(p^(@)-p_(s))/(p^(@))=(n_(2))/(n_(1)+n_(2))=(w_(2)//M_(2))/(w_(1)//M_(1)+w_(2)//M_(2))`
`=(100-80)/(100)=(w_(2)//40)/(114//114+w_(2)//40)""("Mol. mass of octane "C_(8)H_(18)="114 g mol"^(-1))`
`"or"(20)/(100)=(w_(2)//40)/(1+w_(2)//40)"or"(1)/(5)(1+(w_(2))/(40))=(w_(2))/(40)"or"w_(2)=10g`
Note that complete formula is required because concentration of solution is greater than `5%`.
Complete formula can also be applied in the form
`(p^(@)-p_(s))/(p_(s))=(w_(2)//M_(2))/(w_(1)//M_(1))"or"(100-80)/(80)=(w_(2)//40)/(114//114)"or"(1)/(4)=(w_(2))/(40)"or"w_(1)=10g`
Alternatively, SUPPOSE mass of SOLUTE dissolved = 2 g
Moles of solute `=(w)/(40 )g`
Moles of solvent (octane) `=(114)/(114)="1 mole"("Mol. mass of "C_(8)H_(18)="114 g mol"^(-1))`
`therefore"Mole fraction of solvent "=(1)/(1+w//40)`
For a non-volatile solution,
Vapour pressure of solution = Mole fraction of solvent in the solution `xx` Vapour pressure of pure solvent
`p_(s)=x_(1)xxp^(@)`
`therefore""80=(1)/(1+w//40)xx100"or"1+(w)/(40)=(100)/(8)"or"(w)/(40)=(10)/(8)-1=(2)/(8)=(1)/(4)"or"w=10 g`
38.

Calculate the mass of a non-volatile solute (molar mass 40 g "mol"^(-1) ] which should be dissolvedin 114 g octane to reduce its vapour pressure to 80%.

Answer»

Solution :Let the vapour PRESSURE of solvent be `p^0`.
Then, vapour pressure of solution = `0.80p^0`
Let the MASS of solute = w G
Number of moles of the solute ` = (w)/(40)`
Number of moles of solvent (octane) =` (114 g)/(114 g "mol"^(-1))` = 1 mol [ molar mass of `C_8H_18=114 g "mol"^(-1)` ]
APPLYING Raoult.s law and substituting the values in the equation, we have
`(p^0 -p_s)/(p^0) = x_2`
`(p^0 - 0.80 (p^0)/(p^0)) = (w/40)/(w // 40 +1)`
`0.2 ((w)/(40) + 1) = (w)/(40) rArr (0.8 w)/(40) = 0.2`
` w = 10 g `
39.

Calculate the mass of a non-volatile solute (molar mass = 40 g/mol) which should be dissolvedin 114 g octane to reduce its vapour pressure to 80%.

Answer»

SOLUTION :Let the vapour pressure of PURE octane = `p_0`
Vapour pressure of the solution = `0.8p_0`
Lowering of vapour pressure = `0.2p_0`
Relative lowering `= (0.2p_0)/(p_0)`
According to Raoult.s law, Relative lowering of vapour pressure of a solution is equal to the mole fraction of the solute.
Let the mass of solute be = w g
Its molecular mass is GIVEN as = 40 u
No. of moles of the solute =`(w)/(40)`
No. of moles of the solvent ` = 114/114 = 1`[ mol. mass of octane = 114]
Mole fraction of the solute ` = (w//40)/(1 + w//40)`
According to Raoult.s law,
`(0.2p_0)/(p_0) = (w/40)/(1 + w//40) ` on simplification
`0.2 = (w//40)/((40 + w)/(40)) `
`0.2 = (w)/(40 + w)`
or 0.2(40 + w) = WOR 8 + 0.2w - w = 0
or - 0.8w = -8or w = 10 g
40.

Calculatate the mass of compound (molar mass = 256 g mol^(-1) be the dissolved in 75 g of benzene to lower its freezing point by0 .48 K(k_(f) = 5. 12 K kg mol ^(-1) .

Answer»


Solution :`W_(A)=75 G=0.075 KG, T_(f)=0.48K, M_(B)=256" g mol"^(-1)`
`K_(f)=5.12" K kg mol"^(-1)`
`W_(B)=(M_(B)xxDeltaT_(f)xxW_(A))/K_(f)=((256"g mol"^(-1))XX(0.48K)xx(0.075 kg))/((5.12" K kg mol"^(-1)))=1.8 g`
41.

Calculate the mass of 60%H_(2)SO_(4) required to decompose 50 g of chalk (calcium carbonate).

Answer»


SOLUTION :`underset(100g)(CaCO_(3))+underset(98g)(H_(2)SO_(4))rarrCaSO_(4)+H_(2)O+CO_(2)`
`"50 G chalk will REQUIRED PURE "H_(2)SO_(4)=49g`
`therefore""60%H_(2)SO_(4)" required "=(100)/(60)xx49=81.67g`
42.

Calculate the mass of 6.02xx10^(21) molecules of nitrogen.

Answer»


ANSWER :0.28g
43.

Calculate the mass of 1.5 gram molecule of sulphuric acid.

Answer»

Solution :MOLECULAR mass of `H_(2)SO_(4)`
`=2xx1+32+4xx16=98.0` amu
Gram molecular mass of `H_(2)SO_(4)=98.0` G
Mass of 1.5 gram molecule of `H_(2)SO_(4)=98.0xx1.5=147.0g`
44.

Calculatethe massin gramsof animpurityof molarmass100 g "mol"^(-1)whichwouldberequiredto raisethe boilingpointof 50 gof chloroformby 0.30^(@)C (k_(B) for chloroform = 3.63 K kg "mol"^(-1)

Answer»

SOLUTION :0.4132 G
45.

Calculate the mass ascorbic acid (Vitamin C, C_6H_8O_6) to be dissolved in 75g of acetic acid to lower its melting point by 1.5^@c.Kf =3.9 K kg/ mol

Answer»

Solution :Molar MASS of `C_6H_8O_6` (absorbic ACID) = `176g mol^(-1)`
`Delta T_f =1.5^@ W_2` (mass of solute) = `(Delta T_bM_2W_1)/(1000K_f) (1.5xx176xx75)/(1000xx3.9)=5.08`
46.

Calculate the magnetic moments of the following complexes: (i) [Fe(CN)_(6)]^(-4) (ii)[FeF_(6)]^(-3)

Answer»

SOLUTION :(i) `Fe^(+2) rightarrow 3d^(6)``CN^(-)` is a strong LIGAND so `E^(-)` pair 4p, no unpaired `e^(-)` then magnetic moment is zero.
(ii) `mu_(BH)=sqrt(n(n+2)) = 0`
n=5,so `MU=sqrt(n(n+2))`
`mu_=sqrt(5(5+2))`
`mu=sqrt(35) = 5.96 BM`
47.

Calculate the magnitude of work done (in atm lit.) for the given cyclicprocessinvoling 1moleof an ideal gas .[Given: R =0.08 atmlit./mole/k]

Answer»

Solution :`W _(AB) = W_(CD)=0`
`W_(BC)=- nRDeltaT =- 1 xxR XX 300 = 300 R`
`W_(DA)=- nRDeltaT =- 1 xxR xx -200 = 200 R`
`W_("total")=- 100 R`
`RARR |W|=8 "lit atm "`
48.

Calculate the magneticmomentof Ni^(2+).

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Solution :For `Ni^(2+)= 3d^(8) = `` (##PR_CHE_V01_XII_C08_E09_026_S01.png" width="80%"> . Hence,`N=2 ,=SQRT(n(n+2))= sqrt(2(2+2))= sqrt(8)=2.84BM.`
49.

Calculate the magnetic moment ofV^(3+)

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SOLUTION : The electronic CONFIGURATION of `V^(3+)` is `[Ar] 45^(@)` 3d^(2)` In the d-orbitals, there are 2 unpaired electrons.
`thereforemu= sqrt(N(n+2)) B.M.`
= `sqrt(2(2 + 2)) = sqrt8 B.M. = 2.73 B.M.`
50.

Calculate the magnetic moment of Ti^(2+)

Answer»

Solution :`mu = SQRT(N(n + 2))`
`n = 2`
ANSWER : `sqrt(2(2 + 2)) or sqrt(8) or 2.825 B.M.`
• Unit is not a .value point.