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The species having bond order same as th...

The species having bond order same as that of
(a)` CO`
(b) `O_2`
(c)`N_2`
(d) `H_2`

A

(a) and(b)

B

(a) and(c)

C

(c) and(d)

D

(a), (b) and(d)

Text Solution

AI Generated Solution

The correct Answer is:
To determine the species having the same bond order as the given molecules (CO, O2, N2, H2), we first need to calculate the bond order for each of these species. ### Step-by-Step Solution: 1. **Calculate the Bond Order of CO (Carbon Monoxide)**: - CO has a total of 10 electrons (6 from Carbon and 4 from Oxygen). - The molecular orbital configuration for CO is: \[ \sigma(1s)^2 \sigma^*(1s)^2 \sigma(2s)^2 \sigma^*(2s)^2 \sigma(2p_z)^2 \pi(2p_x)^2 \pi(2p_y)^2 \] - The bond order is calculated using the formula: \[ \text{Bond Order} = \frac{(N_b - N_a)}{2} \] where \(N_b\) is the number of bonding electrons and \(N_a\) is the number of antibonding electrons. - For CO, \(N_b = 10\) and \(N_a = 2\): \[ \text{Bond Order} = \frac{(10 - 2)}{2} = 4 \] 2. **Calculate the Bond Order of O2 (Oxygen)**: - O2 has a total of 16 electrons (8 from each Oxygen). - The molecular orbital configuration for O2 is: \[ \sigma(1s)^2 \sigma^*(1s)^2 \sigma(2s)^2 \sigma^*(2s)^2 \sigma(2p_z)^2 \pi(2p_x)^2 \pi(2p_y)^1 \] - For O2, \(N_b = 10\) and \(N_a = 6\): \[ \text{Bond Order} = \frac{(10 - 6)}{2} = 2 \] 3. **Calculate the Bond Order of N2 (Nitrogen)**: - N2 has a total of 14 electrons (7 from each Nitrogen). - The molecular orbital configuration for N2 is: \[ \sigma(1s)^2 \sigma^*(1s)^2 \sigma(2s)^2 \sigma^*(2s)^2 \sigma(2p_z)^2 \pi(2p_x)^2 \pi(2p_y)^2 \] - For N2, \(N_b = 10\) and \(N_a = 2\): \[ \text{Bond Order} = \frac{(10 - 2)}{2} = 4 \] 4. **Calculate the Bond Order of H2 (Hydrogen)**: - H2 has a total of 2 electrons (1 from each Hydrogen). - The molecular orbital configuration for H2 is: \[ \sigma(1s)^2 \] - For H2, \(N_b = 2\) and \(N_a = 0\): \[ \text{Bond Order} = \frac{(2 - 0)}{2} = 1 \] ### Summary of Bond Orders: - CO: Bond Order = 3 - O2: Bond Order = 2 - N2: Bond Order = 3 - H2: Bond Order = 1 ### Conclusion: The species having the same bond order as: - CO (Bond Order = 3) is N2 (Bond Order = 3). - O2 (Bond Order = 2) does not have a match in the given options. - H2 (Bond Order = 1) does not have a match in the given options. ### Final Answer: The species having bond order same as that of CO is N2.
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