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Q.

The density of crystalline NaCl is 2.165 gm cm-3. What would be the volume of the cube containing one mole of NaCl ?

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a

27 cm3

b

3 cm3

c

6 cm3

d

12 cm3

answer is D.

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Detailed Solution

Mathematically, the relation between molar mass, molar volume and density is

 Molar volume = Molar mass  Density 

We know that the molar mass of NaCl is 58.5 gm mol-1 and molar volume is nothing but a cube of the edge length.

Substituting provided and known values in the equation and solving we get,

a3=58.52.165

a327.0 cm3

Hence, the volume of the cube containing one mole of NaCl is 27 cm3.

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