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 calculate 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 phenanthrolene, we will follow these steps:

### Step 1: Analyze the Structure of EDTA
EDTA (Ethylene diamine tetraacetate) has the following structure:
- It consists of two nitrogen atoms and four carboxylic acid groups.

### Step 2: Count Sigma Bonds in EDTA
1. **C-N Bonds**: There are 2 C-N bonds (one for each nitrogen).
2. **C-C Bonds**: There is 1 C-C bond connecting the two nitrogen atoms.
3. **C=O Bonds**: Each carboxylic group has 1 C=O bond, and there are 4 carboxylic groups, contributing 4 C=O bonds.
4. **C-H Bonds**: Each carbon in the carboxylic groups has 1 H atom, contributing 4 C-H bonds.
5. **O-H Bonds**: Each carboxylic group has 1 O-H bond, contributing 4 O-H bonds.

Now, let's summarize the counts:
- C-N: 2
- C-C: 1
- C=O: 4
- C-H: 4
- O-H: 4

Total Sigma Bonds in EDTA:
\[ x_{EDTA} = 2 + 1 + 4 + 4 + 4 = 15 \]

### Step 3: Count Pi Bonds in EDTA
In EDTA, the only pi bonds are from the C=O bonds:
- There are 4 C=O bonds, contributing 4 pi bonds.

Total Pi Bonds in EDTA:
\[ y_{EDTA} = 4 \]

### Step 4: Analyze the Structure of Phenanthrolene
Phenanthrolene (1,10-N,N-phenanthrolene) has a more complex structure with multiple aromatic rings.

### Step 5: Count Sigma Bonds in Phenanthrolene
1. **C-C Bonds**: Count the number of C-C bonds in the aromatic rings and the connecting nitrogen atoms.
2. **C-H Bonds**: Each carbon in the aromatic structure that is not bonded to another atom will have a hydrogen atom.

Assuming the structure has been analyzed:
- Total Sigma Bonds in Phenanthrolene: 24 (as per the video).

### Step 6: Count Pi Bonds in Phenanthrolene
In Phenanthrolene, the pi bonds are primarily from the double bonds in the aromatic rings:
- Total Pi Bonds in Phenanthrolene: 7 (as per the video).

### Step 7: Calculate Total Sigma and Pi Bonds
Now we can calculate the total values for \( x \) and \( y \):
- Total Sigma Bonds \( x \):
\[ x = x_{EDTA} + x_{Phenanthrolene} = 15 + 24 = 39 \]
- Total Pi Bonds \( y \):
\[ y = y_{EDTA} + y_{Phenanthrolene} = 4 + 7 = 11 \]

### Step 8: Calculate \( x + y \)
Now, we can find \( x + y \):
\[ x + y = 39 + 11 = 50 \]

### Final Answer
The value of \( x + y \) is **50**.

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