To determine how many of the cations $K^+$, $Li^+$, $Rb^+$, and $Cs^+$ have ionic radii more than $Na^+$, we need to consider their ionic radii. The ionic radii (in pm) for these ions are approximately as follows:
| Cation | Ionic Radius (pm) |
|---|---|
| $Li^+$ | 76 |
| $Na^+$ | 102 |
| $K^+$ | 138 |
| $Rb^+$ | 152 |
| $Cs^+$ | 167 |
Comparing each cation to $Na^+$ (102 pm):
Thus, the number of cations with ionic radii more than $Na^+$ is 3. This value fits within the expected range of 3,3, confirming its correctness.
Therefore, the answer is: 3
Identify the taxa that constitute a paraphyletic group in the given phylogenetic tree.
The vector, shown in the figure, has promoter and RBS sequences in the 300 bp region between the restriction sites for enzymes X and Y. There are no other sites for X and Y in the vector. The promoter is directed towards the Y site. The insert containing only an ORF provides 3 fragments after digestion with both enzymes X and Y. The ORF is cloned in the correct orientation in the vector using the single restriction enzyme Y. The size of the largest fragment of the recombinant plasmid expressing the ORF upon digestion with enzyme X is ........... bp. (answer in integer) 