Amongst the following, the number of oxide(s) which are paramagnetic in nature is
Na2O, KO2, NO2, N2O, ClO2, NO, SO2, Cl2O
Na2O, KO2, NO2, N2O, ClO2, NO, SO2, Cl2O
Correct Answer: 4
Solution and Explanation
To determine the number of paramagnetic oxides among the listed compounds, we need to understand the concept of paramagnetism, which arises due to the presence of unpaired electrons in a molecule.
Analysis of each oxide:
- Na2O: Sodium oxide is a simple ionic compound with O2− ions having no unpaired electrons. Diamagnetic.
- KO2: Potassium superoxide contains the O2− ion, which has one unpaired electron. Paramagnetic.
- NO2: Nitrogen dioxide has an unpaired electron. Paramagnetic.
- N2O: Nitrous oxide has no unpaired electrons in its bonding structure. Diamagnetic.
- ClO2: Chlorine dioxide has an odd number of valence electrons, resulting in unpaired electrons. Paramagnetic.
- NO: Nitric oxide has one unpaired electron. Paramagnetic.
- SO2: Sulfur dioxide has paired electrons in its structure. Diamagnetic.
- Cl2O: Dichlorine monoxide does not have unpaired electrons. Diamagnetic.
Conclusion: The oxides that are paramagnetic are KO2, NO2, ClO2, and NO. Thus, the number of paramagnetic oxides is 4, which is within the given range (4,4).
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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