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Lithium has a BCC structure. Its density is 530 kgm-3 and its atomic mass is 6.94 g mol-1. Calculate the edge length of a unit cell of Lithium metal (NA = 6.02 x 1023 mol-1)
By BYJU'S Exam Prep
Updated on: September 25th, 2023
(a) 352 pm
(b) 527 pm
(c) 264 pm
(d) 154 pm
Lithium has a BCC structure. Its density is 530 kgm-3 and its atomic mass is 6.94 g mol-1. The edge length of a unit cell of Lithium metal is 352 pm.
d = (z x M)/ (a3 x NA)
z is 2 here since this is BCC.
Now substituting values we get
0.53 g/cm3 = (2 x 6.94) g/mol/ (a3 x 6.02 x 1023) mol-1
a3 = 43.5 x 10-24 cm3
By taking cube roots we get
a = 3.52 x 10-8 cm
On simplifying we get
a = 352 pm
Properties of Lithium
- In several reactions involving both organic and inorganic reactants, lithium plays an active role. It forms monoxide and peroxide when it interacts with oxygen.
- Water and metallic lithium interact quite violently.
- This metal has a high specific heat, or calorific capacity, which is one of its notable characteristics. Other characteristics include its wide range of temperatures in the liquid state and strong thermal conductivity.
- Both its density and viscosity are quite low.
- This metal’s metallic form is insoluble in hydrocarbons but soluble in short-chain aliphatic amines like ethylamine.
Summary:-
Lithium has a BCC structure. Its density is 530 kgm-3 and its atomic mass is 6.94 g mol-1. Calculate the edge length of a unit cell of Lithium metal (NA = 6.02 x 1023 mol-1) (a) 352 pm (b) 527 pm (c) 264 pm (d) 154 pm
Lithium has a BCC structure with density 530 kgm-3 and atomic mass is 6.94 g mol-1. 352 pm is the edge length of a unit cell of Lithium metal. Lithium is a chemical element which occurs first in the periodic table.
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