Calculate average isoelectric point of (Lysine + Asparticacid). The `Pka_(1), Pka_(2), Pka_(3)`, of dication of lysine are `2.18, 8.95, 10.53` respectively. The `Pka_(1), Pka_(2), Pka_(3)`, of cation of aspartic acid `1.20, 3.32, 9.60` respectively ………....

Explanation

To calculate the average isoelectric point (pI) of lysine and aspartic acid, we will follow these steps:

### Step 1: Identify the pKa values for Lysine
The pKa values for the dication of lysine are:
- pKa1 = 2.18
- pKa2 = 8.95
- pKa3 = 10.53

### Step 2: Calculate the pI for Lysine
The isoelectric point (pI) for an amino acid is calculated using the average of the pKa values that correspond to the protonation and deprotonation of the amino acid. For lysine, we take the average of pKa2 and pKa3:

\[ pI_{Lysine} = \frac{pKa2 + pKa3}{2} = \frac{8.95 + 10.53}{2} = \frac{19.48}{2} = 9.74 \]

### Step 3: Identify the pKa values for Aspartic Acid
The pKa values for the cation of aspartic acid are:
- pKa1 = 1.20
- pKa2 = 3.32
- pKa3 = 9.60

### Step 4: Calculate the pI for Aspartic Acid
For aspartic acid, we will take the average of pKa2 and pKa3:

\[ pI_{Aspartic\ Acid} = \frac{pKa2 + pKa3}{2} = \frac{3.32 + 9.60}{2} = \frac{12.92}{2} = 6.46 \]

### Step 5: Calculate the Average Isoelectric Point
Now, we will calculate the average isoelectric point of lysine and aspartic acid:

\[ Average\ pI = \frac{pI_{Lysine} + pI_{Aspartic\ Acid}}{2} = \frac{9.74 + 6.46}{2} = \frac{16.20}{2} = 8.10 \]

### Final Answer
The average isoelectric point of lysine and aspartic acid is approximately **8.10**.

---