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1.

A compound `H_(2)X` with molar mass of 80 g is dissolved in a solvent having density of `0.4 g mL^(-1)`. Assuming no change in volume upon dissolution, what is the molality of 3.2 M solution of the compound ?

Answer» Let the olume of 3.2 M solution be 1000 mL
Since there is no change in volume on dissolution
Volume of the solvent = 1000 mL
Mass of the solvent = Volume `xx` density `(1000 mL xx 0.4 "g mL"^(-1)) = 400 g`
No. of moles of the solute present in the solution = 3.2 mol
`:.` Molality of the sodium `(m)=("No. of moles of the solute")/("Mass of the solvent in Kg")`
`=((3.2 "mol"))/(400//1000kg)=8 "mol kg"^(-1)=8m`
2.

Fill in the blanks. a. The equivalent weight of `NaHCO_(3)` is ……..and of `SO_(2)` is ……… b. 2 mol of 50% pure `Ca(HCO_(3))_(2)` on heating forms 1 mol of `CO_(2)`. The % yield of `CO_(2)` is …….. c. `5 g` of `K_(2) SO_(4)` was dissolved in `250 mL` of solution. The volume of this solution that should be used so that `1.2 g` of `BaSO_(4)` be precipitated fromk `BaCl_(2)` is ....... (molecular mass of `K_(2) SO_(4) = 174` and `BaSO_(4) = 233`) d. The residue obtained on strongly heating `2.76 g Ag_(2) CO_(3)` is ........ `[Ag_(2)CO_(3) overset(Delta)rarr Ag + CO_(2) + O_(2)]` Atomic mass of `Ag = 108`

Answer» Correct Answer - A::B::C::D
a. 84,32 b. 100% c. `44.8 mL` d. `2.16 g`
a. `Ew of NaHCO_(3) = (84)/(1)` (valnecy factor = 2)
`Ew of SO_(2) = (64)/(2) = 32` (Valency factor = 2)
b. `underset(2 mol)(2Ca(HCO_(3))_(2)) rarr CaCO_(3) + underset(1 mol)(CO_(2)) + H_(2) O`
The percent yield of `CO_(2)` is 100% whether `Ca(HCO_(3))_(2)` is 100% pure or 50% pure.
c. `underset(1 mol)(K_(2) SO_(4)) + BaCl_(2) rarr underset(1 mol)(BaSO_(4)) + 2 KCl`
`M_(K_(2)SO_(4)) = (5 xx 1000)/(147 xx 250) = (20)/(174)`
`M xx V_(L) (K_(2) SO_(4)) =` moles of `BaSO_(4)`
`(20)/(174) xx V_(L) = (1.2)/(233)`
`V_(L) = 0.0488 L = 44.8 mL`
d. `underset((Mw = 276 g))(Ag_(2) CO_(3)) rarr (2 xx 108 g)(2Ag ) + CO_(2) uarr + O_(2) uarr`
The residue is due to `Ag`.
`276 g of Ag_(2) CO_(3) = 2 xx 108 g Ag`
`2.76 g of Ag_(2) CO_(3) = (2 xx 108 xx 2.76)/(276) = 2.16 g`
3.

`5.6 g` of a metal forms `12.7 g` of metal chloride. Hence equivalent weight of the metal isA. 127B. 254C. 56D. 25

Answer» Correct Answer - D
Weight of `Cl` reacted `= 12.7 - 5.6 - 7.1 g`
`7.1 g Cl -= 5.6` of metal
`35.5 g Cl = 28 g` of metal
4.

Assertion: The average mass of one Mg atom is `24.305 amu`, which is not actual mass of one Mg atom. Reason: Three isotopes, `24 Mg, 25 Mg and 26 Mg`, of Mg are found in nature.A. Statement-1 : is True, Statement-2 : is True, Statement-2 : is a correct explanation for Statement-1 :B. Statement-1 : is True, Statement-2 : is True, Statement-2 : is NOT a correct explanation for Statement-1 .C. Statement-1 : is Ture, Statement-2 : is False.D. Statement-1 : is False, Statement-2 : is True.

Answer» Correct Answer - A
5.

` 1 g` of impure `Na_(2)CO_(3)` is dissolved in water and the solution is made upto `250 mL`. To `50 mL` of this solution, `50 mL` of `0.1 N HCl` is added and the mixture after shaking well required `10 mL` of `0.16 N NaOH` solution for complete neutralization. Calculation percent purity of the sample of `Na_(2) CO_(3)`.

Answer» `1.0 g` of (impure) `Na_(2) CO_(3) + H_(2)O rarr 250 mL`
`(50 mL of Na_(2)CO_(3) + 50 mL of 0.1 N NaOH)`
`= 10 mL of 0.16 N NaOH`
In this question, `HCl` is in excess.
`implies` Excess mEq of `HCl = mEq of NaOH = 0.16 xx 10 = 1.6`
mEq of `HCl` added to `Na_(2) CO_(3) = 0.1 xx 50 = 5`
`implies` mEq of `HCl` used to neutralised `Na_(2) CO_(3) = 5 - 1.6 = 3.4`
So, mEq of `Na_(2)CO_(3)` (pure) in `50 mL = 3.4`
`implies` mEq of pure `Na_(2) CO_(3)` is `250 mL`
`3.4 xx (250)/(50) = 17` or `("Weight")/(Ew) xx 100 = 17`
`implies "Weight = (17 xx (106 // 2))/(1000) = 0.901 g`
`(Na_(2) CO_(3)` is diacidic base `implies Ew = 106//2)`
So mass of pure `Na_(2)CO_(3) = (0.901)/(1) xx 100 = 90.1%`
6.

`0.7 g` of iron reacts directly with `0.4 g` of sulphur to form ferrous sulphide. If `2.8 g` of iron is dissolved in dilute `HCl` and excess of sodium sulphide solution is added, `4.4 g` of iron sulphide is precipitated. Prove the law of constant composition.

Answer» The ratio of the weight of iron and sulphur in the first sample of the compound is `Fe : S : : 0.7 : 0.4` or `7 : 4`.
According to the second experiment, `2.8 g` or iron gives `4.4 g` ferrous sulphide, or `2.8 g Fe` combines with `S = 4.4 - 2.8 = 1.6 g`
Therefore, the ratio of the weights of `Fe : S : : 2.8 : 1.6` or `7 : 4`.
Since the ratio of the weights of the two elements is same both the cases, the law of constant composition is true.
7.

`4.0 g` of a mixture of `Nacl` and `Na_(2) CO_(3)` was dissolved in water and volume made up to `250 mL`. `25 mL` of this solution required `50 mL` of `N//10 HCl` for complete neutralisation. Calculate the percentage composition of the original mixture.

Answer» Correct Answer - B
`NaCl` does not react with `HCl`
`NaCO_(3) + 2HCl rarr 2NaCl + H_(2)O + CO_(2)`
mEq of `Na_(2)CO_(3) -= mEq "of" HCl`
`-= 50 xx (1)/(10) = 5` mEq per `25 mL`
`-= 50 mEq` per `250 mL`
Weight of `Na_(2)CO_(3) = 50 xx 10^(-3) xx (106)/(2) = 2.65 g`
% of `Na_(2)CO_(3) = (2.65)/(4.0) xx 100 = 66.25%`
8.

Molarity and Molality of a solution of a liquid (molecular weight = 50) in aqueous solution is 9 and 18 respectively. What is the density of solution?A. 1 g/ccB. `0.95` g/ccC. `1.05` g/ccD. `0.66` g/cc

Answer» Correct Answer - B
9.

Objective question (single correct answer). i. `H_(3) PO_(4)` is a tribasic acid and one of its salt is `NaH_(2) PO_(4)`. What volume of `1M NaOH` solution should be added to `12 g` of `NaH_(2) PO_(4)` to convert in into `Na_(3) PO_(4)` ? a. `100 mL` b. 2 mol of `Ca (OH)_(2)` c. Both d. None iii. The normality of a mixture obtained mixing `100 mL` of `0.2 m H_(2) SO_(4)` with `100 mL` of `0.2 M NaOH` is: a. `0.05 N` b. `0.1 N` c. `0.15 N` d. `0.2 N` iv `100 mL` solution of `0.1 N HCl` was titrated with `0.2 N` `NaOH` solutions. The titration was discontinued after adding `30 mL` of `NaOH` solution. The reamining titration was completed by adding `0.25 N KOH` solution. The volume of `KOH` required from completing the titration is: a. `70 mL` b. `35 mL` c. `32 mL` d. `16 mL`

Answer» Correct Answer - B::D
a. b. `Mw "of" NaH_(2) PO_(4) = 120 g` (it is dibasic) (valency factor = 2)
Eq of `NaOH = Eq "of" NaH_(2)PO_(4)`
`(n = 1)` `(n = 2)`
`1 M xx 1 xx V_(L) = (12)/(120) xx 2`.
`V_(L) = 0.26 L = 200 mL`
ii.b. `SO_(2) Cl_(2) + 2H_(2) O rarr H_(2) SO_(4) + 2HCl`
`{:(1"mol" H_(2)SO_(4) -= 2NaOH),(2"mol"HCl -= 2NaOH):}] = 4 "mol" NaOH`
`{:(1"mol" H_(2)SO_(4) -= 1"mol" Ba(OH)_(2)),(2"mol"HCl -= 1"mol"Ba(OH)_(2)):}] implies {:(2"mol"),(Ba(OH)_(2)):}`
iii. b. `mEq "of" H_(2)SO_(4) = 100 xx 0.2 xx 1 = 20`
`mEq NaOH = 100 xx 0.2 xx 1 = 20`
`mEq "of" H_(2)SO_(4) "left" = 40 - 20 = 20`
Total volume `= 100 + 100 = 20`
`N` solution `= (20 mEq)/(200 mL) = 0.1 N`
iv. d. Total mEq of `HCl = 100 xx 0.1 = 10`
Total mEq of `NaOH = 300 xx 0.2 = 6`
mEq of `HCl` left `= 10 - 6 = 4`
mEq of `HCl = mEq "of" KOH`
`4 = 0.25 xx V, V implies 16 mL`
10.

`H_(2) SO_(2)` solution `(20 mL)` reacts quantitatively with a solution of `KMnO_(4) (20 mL)` acidified is just dilute `H_(2) SO_(4)`. The same volume of the `KMnO_(4)` solution is just decolourised by `10 mL` of `MnSO_(4)` in neutral medium. simulataneously forming a dark brown precipitate of hydrated `MnO_(2)`. The brown precipitate is dissolved in `10 mL` of `0.2 M` sodium oxalate under boiling condition in the presence of dilute `H_(2) SO_(4)`. Write the balanced equations involved in the reactions and calculate the molarity of `H_(2) O_(2)` solution.

Answer» Take the balanced equations as follows:
`2MnO_(4)^(ɵ) + 6 H^(o+) + 5 H_(2) O_(2) rarr 2 Mn^(2+) + 8 H_(2) O + 5 O_(2)`
`2 MnO_(4)^(ɵ) + 2 Mn^(2+) rarr 5 MnO_(2)`
`MnO_(2) + C_(2) O_(4)^(2-) + 4 H^(o+) rarr Mn^(2+) + 2 H_(2) O + 2CO_(2)`
To find molarity of `H_(2) O_(2)`
Given:
`20 mL H_(2) O_(2) -= 20 mL KMnO_(4)//H^(o+)`
`20 mL KMnO_(4) -= mL MnSO_(4) rarr MnO_(2)`
`MnO_(2) -= 10 mL (0.2 M) Na_(2) C_(2) O_(4)`
From stoichiometry of above reactions:
1 mmol of `Na_(2) C_(2) O_(4) -= 1 mmol MnO_(2)`
`implies 0.2 xx 10 mmol of Na_(2) C_(2) O_(4) -= 2 mmol of MnO_(2)`
Also, 5 mmol of `MnO_(2) -= 3 mmol of Mn^(2+)`
`implies 2 mmol of MnO_(2) -= (3)/(5) xx 2`
`-= (6)/(5) mmol of Mn^(2+) (MnSO_(4))`
Also, 3 mmol of `MnSO_(4) -= 2 mmol KMnO_(4)`
`implies (6)/(5) mmol of MnSO_(4) -= (2)/(3) xx (6)/(5) = mmol KMnO_(4)`
Now same amount of `KMnO_(4)` reacts completely with `H_(2) O_(2)`.
`2 mmol of H_(2) SO_(4) -= 5 mmol of H_(2) O_(2)`
`implies 2 mmol of KMnO_(4) -= (5)/(2) xx (4)/(5) = 2 mmol of H_(2) O_(2)`
Now mmol of `H_(2) O_(2) = MV_(mL)`.
`implies 2 = M xx 20 implies M = 0.1`
11.

`0.607g` of silver salt of tribasic organic acid was quantitatively reduced to `0.37g` of pure `Ag`. What is the mol. Wt. of the acid ?A. 207B. 210C. 531D. 324

Answer» Correct Answer - 2
Moles of `Ag_(3)A=("Moles of Ag")/(3)=(0.607)/(M)=(0.37)/(108)xx(1)/(3)`
`rArr " "M=531`
`:. " " mol. wt. `of `H_(2)A=mol. wt. ` of `Ag_(3)A-3xxAt. wt. ` of `Ag+3xxAt. wt. `of `H=210`
12.

The mineral rutile is an oxide of titanium containing 39.35% oxygen and is isomorphous with cassiterite `(SnO_(2))`. The atomic weight of titanium isA. 68.1B. 58.1C. 48.1D. 38.1

Answer» Correct Answer - C
`[{:("Rutile" = TiO_(2)),("casiterite" = SnO_(2)):}]` Both are isomorphous
`Mw "of" TiO_(2) = x + 32`
`(x + 32) g "of" TiO_(2) implies (32)/((32 + x)) xx 100`
`:. (32 xx 100)/((32 + x)) = 39.95`
`:. X = 48.10`
13.

Cholrine gas can be produced by the reaction of `HCl (aq)` with `MnO_(2) (s)`. Only `MnCl_(2)` and `H_(2)O(l)` are the by products. What volume of `Cl_(2) (g) ("in litre")` of density `2.84 g//L` will be product from the reaction of `400 mL` of `0.1 M HCl(aq)` with an excess of `MnO_(2)` ?

Answer» Correct Answer - `0.25L`
` M " "+ " "Cl_(2) " "rarr " "MCl_(2)`
`MCl_(2)" "rarr" "M(OH)_(2)`
`2.375 gm`
`M(OH)_(2) " "+ " "2HCl " "rarr " "4MCl_(2)+2H_(2)O`
`25 m` mole `50 m` mole
`(2.375)/((x+71))=(25)/(1000)`
`implies x=24`
14.

200 ml of an aqueous solution of glucose `(C_(6)H_(12)O_(6))` has molarity of `0.01M`. Which of the following operations can be done to this solution so as to increase molarity to `0.015` M?A. Evaporate 50 ml water from this solutionB. Add `0.18` g glucose to solution without changing its volumeC. Add 50 ml water to this solutionD. None of the above

Answer» Correct Answer - B
15.

`11.2 g` of carbon reacts with 21.1 litres of oxygen at `18^(@)C` and `750 mm` of `Hg`. The cooled gases are passed through 2 litre of `2.5 N NaOH`. Determine the concetration of `NaOH` remaining in solution which is not converted to `Na_(2) CO_(3)`. Assume that `CO` does not react with `NaOH`: a. Whatis the mole fraction of `CO` in the gases? b. What is the concetration of `NaOH` which is not converted to `Na_(2) CO_(3)` in the remaining solution?

Answer» Mole of `C = (11.2)/(12) = 0.933 mol`
`Pv = nRT`
`(750)/(760) xx 21.2 = n xx 0.82 xx 291`
`n = (750 xx 21.2)/(760 xx 0.082 xx 291) = 0.876 mol of O_(2)`
a. `C + O_(2) rarr CO_(2)`
`x` `x` `x`
b. `C + (1)/(2) O_(2) rarr CO`
`(0.933 - x) (0.933 - x)/(2) (0.933 - x)`
Total moles of `O_(2) = x + (0.933 - x)/(2) = 0.876`
`:. x = 0.821 mol`
`CO_(2) = 0.821 mol`
`CO = 0.933 - 0.821= 0.112 mol`
a. `:. x_(CO) = (n_(CO))/(n_(CO) + n_(CO_(2))) = (0.122)/(0.93) = 0.12`
`underset({:(1 mol),(0.821 mol):})(CO_(2)) + underset({:(2 mol),(2 xx 0.821 mol):})(2NaOH) rarr underset(1 mol)(Na_(2)CO_(3)) + H_(2)O`
Total moles of `NaOH = 2 xx 821`
Moles of `NaOH` left `= 5 - 2 xx 0.821`
`= 3.558 mol`
Concentration of `NaOH = ("Moles")/("Volume") = (3.385)/(2)`
`= 1.679 mol L^(-1)`
16.

What is the density of propane, `C_(3)H_(8)`, at `25^(@)C` and 740 mmHg?A. `0.509 gL^(-1)`B. `0.570gL^(-1)`C. `1.75 gL^(-1)`D. `1.96gL^(-1)`

Answer» Correct Answer - C
17.

The density of liquid mercury is `13.6 g//cm^(3).` How many moles of mercury are there in 1 litre of the metal? (Atomic mass of `Hg=200).`

Answer» Correct Answer - 68
18.

A 200 mL sample of a gaseous hydrocarbons has a density of `2.52gL^(-1)` at `55^(@)C` and 720mm Hg. What Is its formula?A. `C_(2)H_(6)`B. `C_(4)H_(10)`C. `C_(5)H_(12)`D. `C_(6)H_(6)`

Answer» Correct Answer - C
19.

For the given series of reaction, `4NH_(3)(g) + 5O_(2)(g) rarr 4NO(g) + 6H_(2)O(l)` `2NO(g) + O_(2)(g) rarr 2NO(g) +O_(2)(g) rarr 2NO_(2)(g)` To obtain maximum mass of `NO_(2)` from a given mass of a mixture of `NH_(3)` and `O_(2)` the ratio of mass of `NH_(3)` ot `O_(2)` should be:A. `(4)/(7)`B. `(17)/(56)`C. `(17)/(40)`D. none of these

Answer» Correct Answer - B
20.

For the given series of reaction, `4NH_(3)(g) + 5O_(2)(g) rarr 4NO(g) + 6H_(2)O(l)` `2NO(g) + O_(2)(g) rarr 2NO(g) +O_(2)(g) rarr 2NO_(2)(g)` If 20 ml of `NH_(3)` is mixed with 100 ml of `O_(2)` .Volume contraction at the completion of above reaction is:A. 20 mlB. 85 mlC. 35 mlD. 100 ml

Answer» Correct Answer - C
21.

Nitric acid can be produced from ammonia in three step process. `{:(,4NH_(3)(g)+5O_(2)(g)rarr4NO_(g)+6H_(2)O(g),...(1)),(,2NO(g)+O_(2)(g)rarr2NO_(2)(g),...(2)),(,3NO_(2)(g)+H_(2)O(l)rarr2HNO_(3)(aq.)+NO(g),...(3)):}` Calculate weight of `NH_(3)(g)` required to produce `1260kg` of `HNO_(3)`. When `%` teild of `1^(st), 2^(nd)` and `3^(rd)` reaction are respectively `69%,60%` and `68%` respectively.

Answer» Correct Answer - `1811.5kg`
`(1260xx1000)/(63) = (W_(NH_(3)))/(7) xx (4)/(4) xx (2)/(2) xx (2)/(3)`
`W_(NH_(3))=1811.5 kg`
22.

When `2 g` of a gas `A` is introduced into an evacuated flask kept at `25^(@)C`, the pressure is found to be `1 atm`. If `3 g` of another gas `B` is then heated in the same flask, the total pressure becomes `1.5 atm`. Assuming ideal gas behaviour, calculate the ratio of the molecular weights `M_(A)` and `M_(B)`.A. `1 :3`B. `3:1`C. `2:3`D. `3:2`

Answer» Correct Answer - A
Moles `prop` Pressure
`(2)/(Mw_(A)) prop 1 "atm"`
Pressure of `B = 1.5 - 1 = 0.5 "atm"`
`(3)/(Mw_(B)) prop 0.5 "atm"`
`(3)/(Mw_(B)) xx (Mw_(A))/(2) = (0.5)/(1)`
`(MW_(A))/(Mw_(B)) = 0.5 xx (2)/(3) = (1)/(3)`
`(Mw_(A) : Mw_(B) = 1:3`
23.

How many moles of ferric alum `(NH_(4))_(2) SO_(4) Fe_(2) (SO_(4))_(3). 24 H_(2)O` can be made from the sample of `Fe` containing `0.0056 g` of it?A. `10^(-4) mol`B. `0.5 xx 10^(-4) mol`C. `0.33 xx 10^(-4) mol`D. `2 xx 10^(-4) mol`

Answer» Correct Answer - B
Moles of `Fe = (0.0056)/(56) = 10^(-4) "mol"`
1 mol of alum = 2 mol of `Fe`
2 mol of `Fe = 1` mol of alum
`10^(-4) "mol of" Fe (1)/(2) xx 10^(-4) "mol"`
`= 0.5 xx 10^(-4) "mol"`
24.

5 moles of VO and 6 moles of `Fe_(2)O_(3)` are allowed to react completely according to reaction `VO + Fe_(2)O_(3) rArr FeO + V_(2)O_(5)` The number of moles of `V_(2)O_(5)` formed is:A. 6B. 2C. 3D. 5

Answer» Correct Answer - B
25.

`XeF_(6)` fluorinates `I_(2)` to `IF_(7)` and liberates Xenon(g). 210 mmol of `XeF_(6)` can yield a maximum of…. Mmol of `IF_(7)`A. 420B. 180C. 1D. 0.15

Answer» Correct Answer - B
26.

In aviation gasoline of 100 octane number, `1.0 mL` of tetraethy lead `(TEL), (C_(2)H_(5))_(4) Pb`, of density `1.615 g mL^(-1)`, per litre is added to the product. `TEL` is prepared as follows: `4C_(2) H_(5) Cl + 4Na(Pb) rarr (C_(2)H_(5))_(4) Pb + 4NaCl + 3 Pb` Calculate the amount of `C_(2) H_(5) Cl` required to make enough `TEL` for `1.0 L` of gasoline.A. `0.645 g`B. ` 1.29 g`C. `1.935 g`D. `2.58 g`

Answer» Correct Answer - B
The weight of `1.0 mL Tel = 1.0 mL xx 1.615 = 1.615 g`
The weight of `TEL` needed per litre of gasoline `= 1.615 g`
`[Mw "of" TEL [C_(2) H_(5))_(4) Pb] = 4 xx 29 + 207 = 323 g mol^(-1))`
moles of `TEL = (1.615)/(323 g mol^(-1)) 0.005 "mol"`
1 mol of `TEL` resquires `= 4 xx 0.005`
`= 0.02 "mo of" C_(2)H_(5) Cl`
Weight of `C_(2)H_(5) Cl = 0.02 xx (64.5 g//"mol") = 1.29 g`
27.

Calcium carbonate reacts with aqueous HCl to give `CaCl_(2)` and `CO_(2)` according to the reaction given below `CaCO_(3)(s)+2HCl(aq)rarrCaCl_(2)(aq)+CO_(2)(g)+H_(2)O(l)` What mass of `CaCl_(2)` will be formed when 250mL of 0.76 M HCl reac ts with 1000 g of `CaCO_(3)`? Name the limiting reagent. Calculate the number of moles of `CaCl_(2)` formed in the reaction.

Answer» Calculation of mass of HCl
Molarity of solution `(M)=("Mass of HCl/Molar mass of HCl")/("Volume of solution in litres")`
`0.76 "mol L"^(-1)=(("Mass of HCl/36.5 g mol"))/((250//1000L))`
Mass of `HCl=(0.76"mol L"^(-1)xx(0.25L)(36.5"g mol"^(-1))=6.935g`
Step-II Identification of limiting reactant
`underset((100 g))(CaCO_(3)(s))+underset((2xx36.5=73g))(2HCl(aq))rarrunderset((111g))(CaCl_(2))(aq)+CO_(2)(g)+H_(2)O(l)`
100g of `CaCO_(3)` need HCl = 73 g
1000 g of `CaCO_(3)` need `HCl=((73g))/((100g))xx(1000g)=730g`
But the amount HCl actually available = 6.935 g
`:.` HCl is the limiting reactant
Step-III Calculation of mass/moles of `CaCl_(2)` in the reaction
73 g of HCl form `CaCl_(2) = 111g`
6.935 g of HCl form `CaCl_(2)=((111g))/((73g))xx(6.935g)=10.54g`
Moles of `CaCl_(2)` formed `= ("Mass of "CaCl_(2))/("Molar mass of CaCl"_(2))=((10.5g))/((111"g mol"^(-1)))=0.095` mol.
28.

Copper gives two oxides. On heating `1g` of each in hydrogen, we get `0.888 g and 0.798 g` of the metal respectively. Show that these results are in agreement with the Law of Multiple Proportions.

Answer» Let us fix `1g` of copper as the fixed weight in the two oxides
In the first oxide
Weight of copper `= 0.888 g`
Weight of oxygen `= 1-0.888 = 0.112g`
Now, `0.888g` of copper combine with oxygen `= 0.112 g`
`:. 1.0 g` of copper combine with oxygen `= (0.112)/(0.888)g=0.126 g`
In the second oxide
Weight of copper `= 0.798 g`
Weight of oxygen `= 1-0.798 = 0.202 g`
`0.798 g` of copper combine with oxygen `=0.202 g`
`1.0 g` of copper combine with oxygen `= (0.202)/(0.798)g=0.253 g`
Ratio by weight of oxygen which combine with `1g` of copper in the two oxides is `0.126 : 0.253 or 1:2` As the ratio is simple whole number in nature, the law of Multiple Proportions is proved.
29.

Statement-1 : Both 10 g of sodium carbonate and 12 g of carbon have same number of carbon atoms Statement-2 : Both contain 1g atoms of carbon which contains `6.022 xx 10^(23)` carbon atoms.A. Statement 1 is true, statement 2 is also true , statement 2 is the correct explanation of statement 1.B. Statement 1 is true, statement 2 is also true , statement 2 is not the correct explanation of statement 5C. Statement 1 is true, statement 2 is falseD. Statement 1 is fale, statement 2 is true

Answer» Correct Answer - A
Statement-2 is the correct explanation for statement-1
30.

Calculate the molality of a solution containing 20.7 g of potassium carbonate in 500 mL of solution (assume density of solution `= "1g mL"^(-1)`)

Answer» Correct Answer - 0.313 m
Mass of 500 mL of the solution `= 500 xx 1 = 500 g`
Mass of solvent (water) `= 500 - 20.7 = 479.3 g = 0.4693 kg`
Molality of solution `(m)=((20.7g))/(("138 g mol"^(-1))xx("0.4793 kg"))=0.313 "mol kg"^(-1)=0.313` m.
31.

An alloy of iron and carbon was treated with suphuric acid, in which only iron reacts `2Fe(s) + 3H_(2)SO_(4)(aq) rarr Fe_(2)(SO_(4))_(3)(aq) + 3H_(2)(g)` If a sample of alloy weighing 140 g gave 6 g hydrogen, What is the percentage of iron in the alloy?

Answer» Correct Answer - 80
32.

In what volume ratio can 0.1 M `Fe_(2)(SO_(3))_(4)` and 0.1 M `Al_(2)(SO_(4))_(3)` be mixed so that the ratio of total numebr the solution is 2:3? Consider `Fe^(3+), Al^(3+) and (SO^(2-))_(4)` as only ions in the solution. Salts are completely dissociated and do not undergo any hydrolysis.A. `1:1`B. `4:7`C. `3:16`D. Any of these values

Answer» Correct Answer - D
33.

Air sample from an industrial town, heavily polluted by `CO_(2)` was collected and analyzed . In one anaylsis , 56L of air measured at 1 atm and 273 K was passed through a 250 mL of 0.025 M NaOH solution , where `CO_(2)(g)` was absorbed completely . 25 mL of the above solution was then treated with excess of `BaCl_(2)` solution where all the carbonate was precipitated as `BaCo_(3)(s)` . The solution was filtered off and the filtrate required 25 mL of a 0.005 MHCl solution for neutralization. Weight (in milligrams ) of precipitate `BaCO_(3)(s)` obtained from the 25 ml of test solution was: [Atomic weight :Ba =137, C=12, O=16]A. 27.58B. 275.8C. 492.5D. 49.25

Answer» Correct Answer - D
34.

Air sample from an industrial town, heavily polluted by `CO_(2)` was collected and analyzed . In one anaylsis , 56L of air measured at 1 atm and 273 K was passed through a 250 mL of 0.025 M NaOH solution , where `CO_(2)(g)` was absorbed completely . 25 mL of the above solution was then treated with excess of `BaCl_(2)` solution where all the carbonate was precipitated as `BaCo_(3)(s)` . The solution was filtered off and the filtrate required 25 mL of a 0.005 MHCl solution for neutralization. ppm strenght of `CO_(2)(g)` , volume by volume i.e. , mL of `CO_(2)` per `10^(6)` mL of air was :A. 560B. 5600C. 100D. 1000

Answer» Correct Answer - D
35.

Air sample from an industrial town, heavily polluted by `CO_(2)` was collected and analyzed . In one anaylsis , 56L of air measured at 1 atm and 273 K was passed through a 250 mL of 0.025 M NaOH solution , where `CO_(2)(g)` was absorbed completely . 25 mL of the above solution was then treated with excess of `BaCl_(2)` solution where all the carbonate was precipitated as `BaCo_(3)(s)` . The solution was filtered off and the filtrate required 25 mL of a 0.005 MHCl solution for neutralization. Fraction of original NaOH (by mole) that reached with `CO_(2)` was:A. 0.2B. 0.4C. 0.6D. 0.8

Answer» Correct Answer - D
36.

4.9 g of `KClO_(3)` when heated produced 1.92 g of oxygen and the residue of KCl left was found to weigh 2.96 g. Show that the data illustrates the law of conservation of mass.

Answer» `2KClO_(3)rarr2KCl+3O_(2)`
Mass of reactants =4.9 g , Mass of products `= (1.92 + 2.96) = 4.88 g`
As the mass of the products is nearly same as that of the reactants, this illustrates the Law of conservation of mass.
37.

`KClO_(3)` on heating decomposes to give `KCl and O_(2)`. What is the volume of `O_(2)` at N.T.P liberated by 0.1 mole of `KClO_(3)` ?

Answer» The chemical equation for the decomposition of `KClO_(3)` is
`{:(2KClO_(3),overset("Heat")(rarr),2KCl+3O_(2)),("2 mol",,"3 mol"),(,,(3xx22.4L=67.2L)):}`
2 moles of `KClO_(3)` evolve `O_(2)` at N.T.P = 67.2 L
1 mole of `KClO_(3)` evolve `O_(2)` at N.T.P `= (67.2)/(2)L`
0.1 mole of `KClO_(3)` evolve `O_(1)` at N.T.P `= (67.2)/(2)xx0.1 L =3.36 L`.
38.

A given initial mass of `KClO_(3)` on 50% decompostion produces 67.2 litre oxygen gas at `0^(@)C` and 1 atm. The other product of decompostion is KCl. The initial mass of `KClO_(3)` (in gm) taken is:A. 245B. 122.5C. 490D. none of these

Answer» Correct Answer - C
39.

`18.625g KCl` is formed due to decomposition of `KClO_(4)` in reaction `KClO_(4)(s)rarr KCl(s)+2O_(2)(g)` Find volume of `O_(2)` obtained at `STP`[Atomic mass `K = 39 Cl = 35.5]`

Answer» `{:(KClO_(4)(s),rarr,KCl(s),+,2O_(2)(g)),(,,(18.625)/(74.5)mol,,(2xx18.626)/(74.5)),(,,=0.25,,=0.5mol):}`
Vol of `O_(2)` at `STP = 0.5 xx 22.4 = 11.2L` .
40.

Polyethene can be prepard by `CaC_(2)` by the following sequence of reactions . `CaC_(2)` + `H_(2)O to CaO + C_(2)H_(2)` `C_(2)H_(2) + H_(2) to C_(2)H_(4)` `nC_(2)H_(4)to (C_(2)H_(4))_(n)` `" (Polythene)"` The mass in kg of polythene that can be prepared by 20 kg `CaC_(2)` .A. 4.1 kgB. 8.75 kgC. 3.78 kgD. 10 kg

Answer» Correct Answer - B
41.

Statement-1: Limiting reagent is the reactant that gets completed (or consumed) in a chemical reaction. Statement-2: Limiting reagent always has either least mass or the least moles among all the reactant available for a chemical reaction.A. Statement-1 : is True, Statement-2 : is True, Statement-2 : is a correct explanation for Statement-1 :B. Statement-1 : is True, Statement-2 : is True, Statement-2 : is NOT a correct explanation for Statement-1 .C. Statement-1 : is Ture, Statement-2 : is False.D. Statement-1 : is False, Statement-2 : is True.

Answer» Correct Answer - C
42.

Silver metal reacts with nitric acid according to the equation : `3Ag(s)+4HNO_(3)(aq)rarr3AgNO(aq)+NO(g)+2h_(2)O(l)` What volume of `1.15"M HNO"_(3)(aq)` is required to react with `0.784g` of silver?A. `4.74` mLB. `6.32` mLC. `8.43` mLD. `25.3` mL

Answer» Correct Answer - C
43.

The density of 2.45 M aqueous methanol `(CH_(3)OH)` is `0.976 g/mL`. What is the molatiy of the solution `(CH_(3)OH=32)` ?A. `27.3 m`B. `0.273 m`C. `7.23 m`D. `2.73 m`

Answer» Correct Answer - D
44.

Statement-I : `A` reactant that is entirely consumed when a reaction goes to completion is known as limiting reactant. Because Statement-II : The amount of reactant limits the amount of product formed.A. Statement-I is true, Statement-II is true , Statement-II is correct explanation for Statement-IB. Statement-I is true, Statement-II is true , Statement-II is `NOT` a correct explanation for statement-IC. Statement-I is true, Statement-II is falseD. Statement-I is false, Statement-II is true

Answer» Correct Answer - A
45.

Hydrogen peroxide in aqueous solution decomposes on warming to give oxygen according to the equation `2H_(2)O_(2)(aq)rarr2H_(2)O(l)+O_(2)(g)` under conditions where 1 mole of gas occupies 24 `dm^(3)`. `100cm^(3)` of XM solution of `H_(2)O_(2)` produces 3 `dm^(3)` of `O_(2)`. Thus, X is :A. 2.5B. 1C. 0.5D. 0.25

Answer» Correct Answer - A
46.

Two gases `A` and `B` which react according to the equation `aA_((g)) +bB_((g)) rarr cC_((g)) +dD_((g))` to give two gases `C` and `D` are taken (amount not known) in an Eudiometer tube (operating at a constant Pressur and temperature) to cause the above. If one causing the reaction there is no volume change observed then which of the following statement is/are correct.A. `(a+b)=(c+d)`B. average molecular mass may increase or decrease if either of `A` or `B` is present in limited amount.C. Vapour Density of the mixture will remain same throughout the course of reaction.D. Total moles of all the component of mixture will change.

Answer» Correct Answer - A::C
47.

Statement-I : `16g` each `O_(2)` and `O_(3)` contains `(N_(A))/(2)` and `(N_(A))/(3)` atoms repectively Because Statement-II : `16g` of `O_(2)`, and `O_(3)` contains same no. of atoms.A. Statement-I is true, Statement-II is true , Statement-II is correct explanation for Statement-IB. Statement-I is true, Statement-II is true , Statement-II is `NOT` a correct explanation for statement-IC. Statement-I is true, Statement-II is falseD. Statement-I is false, Statement-II is true

Answer» Correct Answer - D
48.

`{:(,"Column-I",,"Column-II",),(,,,("mass of product"),),((A),2H_(2)+O_(2)rarr2H_(2)O,(p),1.028 g,),(,lg" "lg,,,),((B),3H_(2) +N_(2) rarr2NH_(3),(q),1.333 g,),(,lg " " lg,,,),((C),H_(2) + CI_(2) rarr 2HCI ,(r),1.125 g,),(,lg " "lg ,,,),((D),2H_(2) + C rarrCH_(4),(s),1.214 g,),(,lg " "lg,,,):}`

Answer» Correct Answer - A::B::C::D
49.

Hydrazine reacts with `KIO_(3)` in presence of `HCl` as `:` `N_(2)H_(4)+IO_(3)^(-)+2H^(+)+Cl^(-) rarrICI+N_(2)+3H_(2)O` The equivalent masses of `N_(2)H_(4)` and `KIO_(3)` respectively are `:`A. 8 and `53.5`B. 16 and `53.5`C. 8 and `35.6`D. 8 and 87

Answer» Correct Answer - 1
Oxidation number of `N` in `N_(2)H_(4)` is `-2` which change `s` to `0` in `N_(2)`.
Hence , equivalent mass of `N_(2)H_(4)=("Molar mass")/(2xx2)`
Oxidation number of iodine changes from `+5` to `+1` in `ICI`
Hence, equivalent mass of `IO_(3)=("Molar mass")/(4)`
50.

How many of the prefixes are correctly matched with their multiples `:` `(i)`pico `(p) -10^(-12)" "(ii)` tera`(T)-10^(12)" "(iii)`giga `(G)-10^(9)` `(iv)` nano `(n) -10^(-9)" "(v)` mega`(M)-10^(6)" "(vi)`micro`(mu)-10^(-6)` `(vii)` centi`(cm)-10^(-1)" " (vii)` deci`(D)-10" "(ix)` milli`(m)-10^(-3)`A. 5B. 6C. 7D. 8

Answer» Correct Answer - 3
`(vi)` centi`(cm)-10^(-2)" "(vii)`deci`(D)-10^(-1)`