According to MO theory, number of species/ions from the following having identical bond order is ___.
CN-, NO+, O2, O+2, O2+2
CN-, NO+, O2, O+2, O2+2
Correct Answer: 3
Approach Solution - 1
To find the number of species/ions with an identical bond order using Molecular Orbital (MO) theory, we need to calculate the bond order for each given species using the formula: Bond Order = (Number of bonding electrons - Number of antibonding electrons) / 2.
- CN-:
The electronic configuration is (σ1s)2(σ1s*)2(σ2s)2(σ2s*)2(π2p)4(σ2p)2.
Bonding electrons: 10, Antibonding electrons: 4.
Bond Order = (10 - 4) / 2 = 3. - NO+:
The electronic configuration is (σ1s)2(σ1s*)2(σ2s)2(σ2s*)2(π2p)4(σ2p)2.
Bonding electrons: 10, Antibonding electrons: 4.
Bond Order = (10 - 4) / 2 = 3. - O2:
The electronic configuration is (σ1s)2(σ1s*)2(σ2s)2(σ2s*)2(π2p)4(π2p*)2.
Bonding electrons: 10, Antibonding electrons: 6.
Bond Order = (10 - 6) / 2 = 2. - O2+:
The electronic configuration is (σ1s)2(σ1s*)2(σ2s)2(σ2s*)2(π2p)4(π2p*)1.
Bonding electrons: 10, Antibonding electrons: 5.
Bond Order = (10 - 5) / 2 = 2.5. - O22+:
The electronic configuration is (σ1s)2(σ1s*)2(σ2s)2(σ2s*)2(π2p)4.
Bonding electrons: 10, Antibonding electrons: 4.
Bond Order = (10 - 4) / 2 = 3.
Species with identical bond order of 3: CN-, NO+, O22+.
Number of such species = 3, which fits within the provided range (3,3).
Approach Solution -2
CN-, NO+ and \(O_2^{2+} \)have bond order of `3'.
O2 has bond order of 2,
\(O_2^+\) has bond order of 2.5.
∴ Three species have similar bond order.
Top Questions on Ammonia
- When a salt is treated with sodium hydroxide solution, it gives gas X. On passing gas X through reagent Y, a brown coloured precipitate is formed. X and Y respectively, are:
- A gas ‘X’ is added to Nessler’s reagent then brown precipitate is formed, gas X is
- Ammonia is synthesized in the Haber process in the following reaction.
$𝑁_2 (𝑔) + 3𝐻_2 (𝑔) → 2𝑁𝐻_3(𝑔)$
The temperature above which the reaction becomes spontaneous is __________ 𝐾 (rounded off to one decimal place).
($\bigtriangleup 𝐻^0 = −92.2 𝑘𝐽, \bigtriangleup 𝑆^0 = −199 𝐽𝐾^{ −1}$ ) - The dehydrating agent for ammonia used in laboratory is
- Reaction of [Co(H2O)6]2+ with excess ammonia and in the presence of oxygen results into a diamagnetic product. Number of electrons present in t2g-orbitals of the product is _______
Questions Asked in JEE Main exam
Match the LIST-I with LIST-II for an isothermal process of an ideal gas system.
Choose the correct answer from the options given below:
- JEE Main - 2026
- Thermodynamics and Work Done
- A bag contains 10 balls out of which \( k \) are red and \( (10-k) \) are black, where \( 0 \le k \le 10 \). If three balls are drawn at random without replacement and all of them are found to be black, then the probability that the bag contains 1 red and 9 black balls is:
- JEE Main - 2026
- Probability
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?
- JEE Main - 2026
- Organic Chemistry
- For two identical cells each having emf \(E\) and internal resistance \(r\), the current through an external resistor of \(6\,\Omega\) is the same when the cells are connected in series as well as in parallel. The value of the internal resistance \(r\) is ________ \(\Omega\).
- JEE Main - 2026
- Current electricity
- For three unit vectors \( \vec a, \vec b, \vec c \) satisfying \[ |\vec a-\vec b|^2 + |\vec b-\vec c|^2 + |\vec c-\vec a|^2 = 9 \] and \[ |2\vec a + k\vec b + k\vec c| = 3, \] the positive value of \( k \) is:
- JEE Main - 2026
- Vector Algebra
Concepts Used:
Types of Differential Equations
There are various types of Differential Equation, such as:
Ordinary Differential Equations:
Ordinary Differential Equations is an equation that indicates the relation of having one independent variable x, and one dependent variable y, along with some of its other derivatives.
\(F(\frac{dy}{dt},y,t) = 0\)
Partial Differential Equations:
A partial differential equation is a type, in which the equation carries many unknown variables with their partial derivatives.
Linear Differential Equations:
It is the linear polynomial equation in which derivatives of different variables exist. Linear Partial Differential Equation derivatives are partial and function is dependent on the variable.
Homogeneous Differential Equations:
When the degree of f(x,y) and g(x,y) is the same, it is known to be a homogeneous differential equation.
\(\frac{dy}{dx} = \frac{a_1x + b_1y + c_1}{a_2x + b_2y + c_2}\)
Read More: Differential Equations