Paramagnetic Behavior and Curie's Law
Paramagnetic substances are characterized by their magnetic susceptibility ($\chi$) at temperatures above any ordering transition (like the ferromagnetic Curie temperature, $T_C$). Their behavior is typically described by the Curie's Law.
Curie's Law Explained
Curie's Law states that the magnetic susceptibility ($\chi$) of a paramagnetic material is inversely proportional to the absolute temperature ($T$) in Kelvin:
$ \chi = \frac{C}{T} $
Here, $C$ is the Curie constant, a material-specific positive constant.
Reciprocal Susceptibility vs. Temperature
To find the relationship for reciprocal susceptibility ($\frac{1}{\chi}$), we can rearrange Curie's Law:
$ \frac{1}{\chi} = \frac{T}{C} $
This equation shows a direct linear relationship between $\frac{1}{\chi}$ and $T$. The plot of $\frac{1}{\chi}$ versus $T$ should be a straight line.
Graphical Representation
- The equation $\frac{1}{\chi} = \frac{T}{C}$ represents a straight line passing through the origin (0,0), because when $T=0$, $\frac{1}{\chi}$ is also 0.
- The slope of this line is $\frac{1}{C}$, which is positive since $C$ is positive.
- Therefore, the correct plot is a straight line starting from the origin and extending with a positive slope as temperature increases.
The plot matching this description is shown in Option 3:
Similar Questions
- The $K_a$ value of acetic acid is $1.8 \times 10^{-5}$. What would be the degree of ionization of 0.02 M acetic acid, containing 0.01 M Sodium acetate in it ?
- An electric current of 0.50A from a 12V supply is passed for 300 sec through a resistance in thermal contact with water and the water is allowed to boil under a pressure of 1.0 atm. The value of enthalpy change during the process, if 0.798 gm of water is vaporised, will be :
- The integrated rate law and half-life equation for an first order reaction would be :
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The R/S configuration of C - 2 and C - 3 in the given molecule will be :
Predict the % product formation in the given reaction :
- The Carbon atom in singlet and triplet carbene is __________ and __________ - hybridized, respectively.
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The Arrhenius equation predicts that the rate constant of a reaction can be decreased by increasing the temperature or by decreasing the activation energy.
Reason (R) : Changing the temperature of a reaction mixture is easy to do, however reducing the activation energy is more challenging in a reaction.
In the light of the above statements, choose the most appropriate answer from the options given below : - Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : A gas is confined by a piston at pressure 'P' and the external pressure is $P_{ex}$. If the $P_{ex}$ is measurably greater then internal pressure, then decreasing $P_{ex}$ infinitesimally will not decrease it below the pressure of the gas and will not change the direction of the process.
Reason (R) : The system is in mechanical equilibrium with its surrounding and the compression is thermodynamically reversible.
In the light of the above statements, choose the most appropriate answer from the options given below : - Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Diastereomers are achiral molecules have superposable mirror images.
Reason (R) : Diastereomers are compounds have different physical properties.
In the light of the above statements, choose the most appropriate answer from the options given below :
Important Questions from Miscellaneous
- Which of the following scheduler/schedulers is/are also called CPU scheduler ?
(A). Short Term Scheduler
(B). Long Term Scheduler
(C). Medium Term Scheduler
(D). Asymmetric Scheduler
Choose the correct answer from the options given below: - A situation where two or more processes are blocked, waiting for resources held by each other is called:
- External fragmentation occurs ________.
- Which disk scheduling algorithm looks for the track closest to the current head position?
- Which CPU scheduling algorithm prefers the process with the shortest burst time?
