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=6.02×1023mol-1                                            [2025]

  • 48.2 mg

     

  • 98.3 mg

     

  • 150.4 mg

     

  • 196.2 mg

     

(4)

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

Initial moles = mole left + mole removed

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

                    =4.46×10-3mol

Initial mass=Initial moles×molar mass

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

                      =196.24×10-3g=196.24mg

 



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 atoms1Atomic 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.