The energy absorbed by each molecule `(A_2)` of a substance is `4.4 xx 10^-19 J` and bond energy per molecule is `4.0 xx 10^-19 J`. The kinetic energy of the molecule per atom will be.

Options

A. `2.0 xx 10^-20 J`
B. `2.2 xx 10^-19 J`
C. `2.0 xx 10^-19 J`
D. `4.0 xx 10^-20 J`

Explanation

To find the kinetic energy of each atom in the molecule \( A_2 \), we can follow these steps:

### Step 1: Understand the Given Information
We are given:
- Energy absorbed by each molecule \( A_2 \): \( E_{absorbed} = 4.4 \times 10^{-19} \, J \)
- Bond energy per molecule \( A_2 \): \( E_{bond} = 4.0 \times 10^{-19} \, J \)

### Step 2: Calculate the Kinetic Energy of the Molecule
The kinetic energy of the molecule can be determined by subtracting the bond energy from the energy absorbed:
\[ E_{kinetic} = E_{absorbed} - E_{bond} \]
Substituting the values:
\[ E_{kinetic} = 4.4 \times 10^{-19} \, J - 4.0 \times 10^{-19} \, J \]
\[ E_{kinetic} = 0.4 \times 10^{-19} \, J \]

### Step 3: Determine the Kinetic Energy per Atom
Since the molecule \( A_2 \) consists of 2 atoms, the kinetic energy per atom can be calculated by dividing the total kinetic energy of the molecule by the number of atoms:
\[ E_{kinetic \, per \, atom} = \frac{E_{kinetic}}{2} \]
Substituting the value we found:
\[ E_{kinetic \, per \, atom} = \frac{0.4 \times 10^{-19} \, J}{2} \]
\[ E_{kinetic \, per \, atom} = 0.2 \times 10^{-19} \, J \]

### Final Answer
The kinetic energy of each atom in the molecule \( A_2 \) is:
\[ E_{kinetic \, per \, atom} = 2.0 \times 10^{-20} \, J \]

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