The density of - Fe is 7.6 ~g ~cm ⁻³ . It crystallizes in cubic lattice with a =290 pm . What is the value of Z ? ( Fe =56 . g mol ⁻¹ ; N _ A =6.022 10²³ ~mol ⁻¹ )

Step-by-step solution

Density ( )= Z M N_A a^3 Given, aligned & =7.6 ~g / cm ^3 & a=290 10⁻¹² ~m & =290 10⁻¹⁰ ~cm aligned aligned & 7.6 6.023 10²³ (290 10⁻¹⁰ )^3 56 =Z & Z=2 aligned