Question

Calculate the radius of K-shell in Li+2​

Answer 1

Answer:

calculate the radius of k-shell in Li+2

Answer 2

To find:

Radius of K shell in Li+2.

Calculation:

General expression for radius of an orbit in an hydrogen like atom is as follows:

$\boxed{ \bf{r = r_{0} \times \dfrac{ {n}^{2} }{z} }}$

Here value of r_(0) = 0.529 A°.

Now, for Li+2 , the value of z is 3 and for K shell , value of n = 1

So, putting available values:

$\bf{ = > r = 0.529 \times \dfrac{ {n}^{2} }{z} }$

$\bf{ = > r = 0.529 \times \dfrac{ {(1)}^{2} }{3} }$

$\bf{ = > r = 0.529 \times \dfrac{ 1 }{3} }$

$\bf{ = > r = 0.176 \: {A}^{ \circ} }$

So, final answer is:

$\boxed{ \large{\red{\sf{r = 0.176 \: {A}^{ \circ} }}}}$