Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason $R$
Assertion A: Amongst $He, Ne, Ar$ and $Kr$; $1 g$ of activated charcoal adsorbs more of $Kr$
Reason R: The critical volume $V_c\left( cm ^3 mol ^{-1}\right)$ and critical pressure $P_e$ (atm) is highest for Krypton but the compressibility factor at critical point $Z_c$ is lowest for Krypton
In the light of the above statements, choose the correct answer from the options given below
Assertion A: Amongst $He, Ne, Ar$ and $Kr$; $1 g$ of activated charcoal adsorbs more of $Kr$
Reason R: The critical volume $V_c\left( cm ^3 mol ^{-1}\right)$ and critical pressure $P_e$ (atm) is highest for Krypton but the compressibility factor at critical point $Z_c$ is lowest for Krypton
In the light of the above statements, choose the correct answer from the options given below
Show Hint
The adsorption of gases on activated charcoal depends on molecular size and van der Waals forces, not directly on critical parameters like Vc,Pc, or Zc.
- Both $A$ and $R$ are true but $R$ is NOT the correct explanation of $A$
- Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
- A is false but $R$ is true
- $A$ is true but $R$ is false
The Correct Option is D
Solution and Explanation
Analysis of Assertion and Reason:
- Assertion (A): Among the noble gases, Krypton (Kr) is adsorbed more by activated charcoal compared to He, Ne, and Ar. This is because the extent of adsorption increases with an increase in molecular size and van der Waals forces, both of which are higher for Krypton. Thus, Assertion (A) is true.
- Reason (R): The given reason states that the critical volume (Vc) and critical pressure (Pc) are highest for Krypton, and the compressibility factor (Zc) at the critical point is lowest. However, this is incorrect because Krypton does not have the highest Vc or Pc among noble gases, and Zc is not a determining factor for adsorption. Therefore, Reason (R) is false.
Conclusion: Assertion (A) is true, but Reason (R) is false. The correct answer is 4.
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Concepts Used:
Adsorption
Heinrich Kayser, the German physicist was the first to coin the term adsorption. Adsorption can be explained as a surface phenomenon where particles remain attached on the top of a material. Generally, it comprises the molecules, atoms, liquid, solid in a dissolved stage, even the ions of a gas that are attached to the surface. Much to our surprise, the consequence of surface energy i.e. adsorption is present in biological, physical, chemical, and natural systems and are used in many industrial applications.
