Consider the following information about rock salt type of structure (a) Potassium has a unit cell length of 50pm lesser than that of the corresponding Rb salt of the same halogen. (b) The ionic radius of Rb+ is 158pm. Calculate the ionic radius of K+ based on above information.

Question

Consider the following information about rock salt type of structure (a) Potassium has a unit cell length of 50pm lesser than that of the corresponding Rb salt of the same halogen. (b) The ionic radius of Rb+ is 158pm. Calculate the ionic radius of K+ based on above information. (A) 208pm (B) 133pm (C) 108pm (D) 143pm

Tardigrade Admin · Accepted Answer

For rock salt type structure Edge length =2(rc + ra) x ominus=(158/0.414)=381.6 pm k++x ominus=(1079 - 50/2) k⊕=(1079 - 50/2)-381.6=133.6 pm

Q. Consider the following information about rock salt type of structure
(a) Potassium has a unit cell length of 50pm lesser than that of the corresponding $R b$ salt of the same halogen.
(b) The ionic radius of $R b^{+}$ is 158pm.
Calculate the ionic radius of $K^{+}$ based on above information.

208pm

133pm

108pm

143pm

For rock salt type structure
Edge length
$= 2 (r_{c} + r_{a})$
$x^{⊖} = \frac{158}{0.414} = 381.6 p m$
$k^{+} + x^{⊖} = \frac{1079 - 50}{2}$
$k^{\oplus} = \frac{1079 - 50}{2} - 381.6 = 133.6 p m$

Q. Consider the following information about rock salt type of structure (a) Potassium has a unit cell length of 50pm lesser than that of the corresponding Rb salt of the same halogen. (b) The ionic radius of Rb+ is 158pm. Calculate the ionic radius of K+ based on above information.