Question

Calculate the volume of bcc type unit cell having edge length 288 pm and 7.2 g cm-3 density?

(mass of unit cell= 52g)

Ans 1.

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Answer 1

Answer:

given =atomic number (Z) = FOR BCC = 2

           a = 288pm  288 × 10²³  

           density = 7.2 g cm⁻³

to find = volume

solution,

atomic mass ,M = ρ x a³x Na /Z

                       M=  7.2 x (288x 10⁻¹⁰)³x 6.023 x 10 ²³/ 2

                       M=   2073.6 x 10⁻¹⁰)³x  6.023 x 10 ²³/ 2

                       M = 51.79g mole

the volume of bcc unit cell is 51.79gmol⁻¹