Question

An ionic solid AB₂ isomorphous to the rutile structure (a tetragonal system with the effective number of formula units = 2) has edge lengths of the unit cell of 4Å, 4Å and 7Å. The density of the substance is ______ mg/cc. (if its formula weight is 80. The N_A = 6 × 10²³ and express your answer in mg/cc using four significant digits.)

Options

• 2381

• 3584

• 4823

• 5687

Answer 1

An ionic solid AB₂ isomorphous to the rutile structure (a tetragonal system with the effective number of formula units = 2) has edge lengths of the unit cell of 4Å, 4Å and 7Å. The density of the substance is 2381 mg/cc.

Explanation:

d = `(2 xx 80 xx 1.667 xx 10^-24 xx 10^3)/(4 xx 4 xx 7 xx 10^-24)`

= 2381 mg/cc