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(x)/(m)=KC^(1//n) where C = Concentratio...

`(x)/(m)=KC^(1//n)` where `C =` Concentration of solution, x = wt of adsorbed solute m =Wt of adsorbent. The equation represents - 

A

Langmuir adsorption isotherm

B

Freundlich adsorption isotherm

C

Arhenius equation

D

Chemi sorption isotherm

Text Solution

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The correct Answer is:
To solve the question, we need to analyze the given equation and identify which adsorption isotherm it represents. ### Step-by-Step Solution: 1. **Understanding the Given Equation**: The equation provided is: \[ \frac{x}{m} = K C^{\frac{1}{n}} \] where: - \( x \) = weight of the adsorbed solute - \( m \) = weight of the adsorbent - \( C \) = concentration of the solution - \( K \) and \( n \) are constants. 2. **Identifying the Components**: - The left side of the equation, \(\frac{x}{m}\), represents the amount of solute adsorbed per unit weight of the adsorbent. - The right side of the equation shows that this amount is proportional to the concentration of the solution raised to the power of \(\frac{1}{n}\). 3. **Comparing with Known Isotherms**: - **Langmuir Adsorption Isotherm**: This is represented by the equation: \[ \theta = \frac{Kp}{1 + Kp} \] where \(\theta\) is the fraction of the surface covered. - **Freundlich Adsorption Isotherm**: This is represented by the equation: \[ x/m = K C^{1/n} \] This matches our given equation. - **Arrhenius Equation**: This relates to the rate of reaction and does not pertain to adsorption isotherms. - **Chemisorption Isotherm**: This describes the adsorption process but is not represented by the given equation. 4. **Conclusion**: From the comparison, we can conclude that the equation \(\frac{x}{m} = K C^{\frac{1}{n}}\) represents the **Freundlich adsorption isotherm**. ### Final Answer: The equation represents the **Freundlich adsorption isotherm**.
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