Calculate value of "x+y" if x is the total number of `sigma` bonds and y is total number of `pi` bonds in ligand EDTA and phenanthrolene.
(EDTA Ethylene diamine tetraacetate, Phen=1,10-N,N-phenanthrolene)

Answer

To solve the problem of calculating the value of \( x + y \), where \( x \) is the total number of sigma bonds and \( y \) is the total number of pi bonds in the ligands EDTA and phenanthroline, we will follow these steps:

### Step 1: Draw the Structures of EDTA and Phenanthroline
- **EDTA (Ethylenediaminetetraacetate)** has a structure that includes multiple functional groups, including carboxylate groups and amine groups.
- **Phenanthroline (1,10-Phenanthroline)** is a polycyclic aromatic compound with nitrogen atoms in its structure.

### Step 2: Count the Sigma Bonds in EDTA
- In the structure of EDTA, we identify and count all the sigma bonds:
- Each carbon-hydrogen bond (C-H) and carbon-carbon bond (C-C) counts as a sigma bond.
- Each carbon-oxygen bond (C-O) in the carboxylate groups also counts as a sigma bond.
- After counting, we find that EDTA has a total of **27 sigma bonds**.

### Step 3: Count the Pi Bonds in EDTA
- For pi bonds in EDTA, we look for double bonds:
- Each double bond contributes one pi bond.
- After counting, we find that EDTA has a total of **4 pi bonds**.

### Step 4: Count the Sigma Bonds in Phenanthroline
- In the structure of phenanthroline, we similarly count the sigma bonds:
- Each C-H and C-C bond contributes to the total.
- After counting, we find that phenanthroline has a total of **17 sigma bonds**.

### Step 5: Count the Pi Bonds in Phenanthroline
- For pi bonds in phenanthroline, we count the double bonds:
- Each double bond contributes one pi bond.
- After counting, we find that phenanthroline has a total of **7 pi bonds**.

### Step 6: Calculate Total Sigma and Pi Bonds
- Now we can calculate \( x \) and \( y \):
- Total sigma bonds \( x = 27 \, (\text{EDTA}) + 17 \, (\text{Phenanthroline}) = 44 \)
- Total pi bonds \( y = 4 \, (\text{EDTA}) + 7 \, (\text{Phenanthroline}) = 11 \)

### Step 7: Calculate \( x + y \)
- Finally, we calculate \( x + y \):
- \( x + y = 44 + 11 = 55 \)

### Final Answer:
The value of \( x + y \) is **55**.

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