Q 1 :

0.05 cm thick coating of silver is deposited on a plate of 0.05 m2 area. The number of silver atoms deposited on plate are _________ ×1023. (At mass Ag = 108, d = 7.9 g cm-3)          [2024]



(11)              Volume of silver = thickness × area of plate

                                              = 0.05 cm × 0.05 m2

                                              = 0.05 cm × 0.05 × (100 cm)2

                                              = 25 cm3

                    Mass of silver deposited = density × volume

                                                           = 7.9 gcm-3×25 cm3

                                                           = 197.5 g

                    Moles of silver deposited(n) = Mass of silver depositedmolar mass of silver

                                                                 = 197.5 g108 gmol-1

                                                                 = 1.8287 mol

                    Atoms of silver deposited = n×NA atoms

                                                             = 1.8287×6.022×1023

                                                             = 11.01×1023 atoms

 



Q 2 :

2.8×10-3 mol of CO2 is left after removing 1021molecules from its ‘x’ mg sample. The mass of CO2 taken initially is

Given: NA=6.02×1023 mol-1                                            [2025]

  • 48.2 mg

     

  • 98.3 mg

     

  • 150.4 mg

     

  • 196.2 mg

     

(4)

1021 molecules=10216.02×1023 mol =1.66×10-3 mol

Initial moles = mole left + mole removed

Initial moles =2.8×10-3 mol+1.66×10-3 mol

                    =4.46×10-3 mol

Initial mass=Initial moles×molar mass

                      =4.46×10-3 mol×44 g mol-1

                      =196.24×10-3 g=196.24 mg

 



Q 3 :

Among 10-9 g (each) of the following elements, which one will have the highest number of atoms?            

Element: Pb, Po, Pr and Pt                                                             [2025]

  • Po

     

  • Pr

     

  • Pb

     

  • Pt

     

(2)

Number of atoms=Given massAtomic mass

As given mass is same for the four elements,

number of atoms∝1Atomic mass.

Po and Pb are present in 6th period, p block. Pt is present in 5d series. Pr is present in 4f series. As Pr is placed before Po, Pb and Pt in periodic table, it has least atomic mass. As it has least atomic mass, it has most number of atoms.

 



Q 4 :

The number of molecules and moles in 2.8375 litres of O2 at STP are respectively                         [2023]

  • 7.527×1022 and 0.125 mol

     

  • 1.505×1023 and 0.250 mol

     

  • 7.527×1023 and 0.125 mol

     

  • 7.527×1022 and 0.250 mol

     

(1)

No. of moles=Volume at S.T.P (L)22.4=2.837522.4=0.125 mole

No. of molecules=no. of moles×NA

                                 =0.125×6.023×1023

                                  =7.527×1022



Q 5 :

Match List I with List II.                                        [2023]

  List I   List II
A. 16 g of CH4(g) I. Weighs 28 g
B. 1 g of H2(g) II. 60.2×1023 electrons
C. 1 mole of N2(g) III. Weighs 32 g
D. 0.5 mol of SO2(g) IV. Occupies 11.4 L volume at STP

 

Choose the correct answer from the options given below:

  • A-II, B-IV, C-III, D-I

     

  • A-I, B-III, C-II, D-IV

     

  • A-II, B-III, C-IV, D-I

     

  • A-II, B-IV, C-I, D-III

     

(4)

(A)  16 g or 1 mol CH4  or 6.02×1023×10 electrons

         =60.2×1023 electrons (II)

(B)  1 g H2 or 12 mol H2 or 11.35 L volume at STP (IV)

(C)  1 mol N2=28 g N2 (I)

(D)  0.5 mol SO2=32 g SO2 (III)



Q 6 :

In the reaction,

2Al(s)+6HCl(aq)→2Al3+(aq)+6Cl-(aq)+3H2(g)                    [2026]

  • 33.6 L H2(g) is produced regardless of temperature and pressure for every mole of Al that reacts.

     

  • 12 L HCl(aq) is consumed for every 6L H2(g) produced.

     

  • 67.2 L H2(g) at STP is produced for every mole of Al that reacts.

     

  • 11.2 L H2(g) at STP is produced for every mole of HCl consumed.

     

(4)

2Al (s)+6HCl (aq)→2Al3+(aq)+6Cl-(aq)+3H2(g)

Mole of H2 produced

=2×mole of HCl used

=23×mole of Al used



Q 7 :

Number of moles and number of molecules in 1.4187 L of SO2 at STP respectively are           [2026]

  • 0.1266; 3.812×1022

     

  • 0.0633; 3.812×1022

     

  • 0.1266; 7.6238×1022

     

  • 0.0633; 7.6238×1022

     

(2)

Number of moles (n)

=Volume at STP in L22.4=1.418722.4mol=0.0633 mol

Number of molecules (N)

=n×NA=0.0633×6.023×1023=3.812×1022



Q 8 :

The correct order of total number of atoms present in

(A) 2 moles of cyclohexane

(B) 684 g of sucrose

(C) 90.8 L of dihydrogen at STP

is:                                                                     [2026]

  • C > A > B

     

  • C > B > A

     

  • B > C > A

     

  • B > A > C

     

(4)

(A) 2 mol cyclohexane (C6H12) molecules

        = 2×(6+12) mol atoms = 36 mol atoms

(B)  684 g sucrose (C12H22O11)=(684342) mol sucrose molecules

         =(684342)×(12+22+11) mol atoms=90 mol atoms

(C)  H2 molecules in 90.8 L H2 at STP

        =90.822.7 mol H2 molecules

        =90.822.7×2 mol H atoms=8 mol H atoms.

Correct order of number of atoms=B>A>C



Q 9 :

Which of the following contain the same number of atoms?

(Given: Molar mass in g mol-1 of H, He, O and S are 1, 4, 16 and 32 respectively)

A. 2 g of O2 gas

B. 4 g of SO2 gas

C. 1400 mL of O2 at STP

D. 0.05 L of He at STP

E. 0.0625 mol of H2 gas

Choose the correct answer from the options given below:               [2026]

  • A and B only

     

  • B and C only

     

  • C and D only

     

  • A, C and E only

     

(4)

Substance Moles of substance (given mass/molar mass) Number of molecules Atoms = Atomicity × number of molecules
(A) 2 g of O2 gas 232=116 116NA 2×116NA=18NA=0.125NA
(B) 4 g of SO2 gas 464=116 116NA 3×116NA=0.1875NA
(E) H2 gas 0.0625 0.0625NA 2×0.0625NA=0.125NA

 

Volume of gas at STP Moles of substance (Vol in L / 22.4) Number of molecules Atoms = Atomicity × number of molecules
(C) 1400 mL (1.4 L) of O2 gas 1.422.4=116 116NA 2×116NA=18NA=0.125NA
(E) 0.05 L of He gas 0.0522.4=1448 2×116NA=18NA 1448NA=0.00223NA

 



Q 10 :

Match List – I with List – II.

  List – I   List – II
  (Mass of substance)   (Number of atoms)
A. 1.8 mg water I. 2×10-4×NA
B. 9.8 mg sulphuric acid II. 1.5×10-4×NA
C. 1.8 mg carbon III. 3×10-4×NA
D. 5.85 mg salt (NaCl) IV. 7×10-4×NA

 

Choose the correct answer from the options given below:         [2026]

  • A-IV, B-III, C-I, D-II

     

  • A-III, B-II, C-IV, D-I

     

  • A-III, B-IV, C-II, D-I

     

  • A-III, B-IV, C-I, D-II

     

(3)

Mass of substance Moles of substance (given mass/molar mass) Number of molecules Atoms = Atomicity × number of molecules
1.8 mg water (H2O) 1.8×10-318=10-4 10-4NA 3×10-4NA
9.8 mg sulphuric acid (H2SO4) 9.8×10-398=10-4 10-4NA 7×10-4NA
1.8 mg carbon (C) 1.8×10-312=1.5×10-4 1.5×10-4NA 1.5×10-4NA
5.85 mg NaCl 5.85×10-358.5=10-4 10-4NA 2×10-4NA