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If x is the amount of adsorbate and m is...

If `x` is the amount of adsorbate and `m` is the amount of adsorbent, which of the following relation is related to adsorption process?
(a)`(x)/(m)` = f(T) at constant p
(b) p = f(T) at constant `((x)/(m))`
(c)`(x)/(m) = p xx T`
(d)`(x)/(m)` = f(p) at constant T

A

(a) `(x)/(m)` = f(T) at constant p

B

(b) p = f(T) at constant `((x)/(m))`

C

(c) `(x)/(m) = p xx T`

D

(d) `(x)/(m)` = f(p) at constant T

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given relations is related to the adsorption process, we need to analyze each option based on the principles of adsorption isotherms. ### Step-by-Step Solution: 1. **Understanding Adsorption**: Adsorption is the process where molecules from a gas or liquid adhere to a solid surface (adsorbent). The amount of adsorbate (x) on the adsorbent (m) can be expressed in terms of pressure (p) and temperature (T). 2. **Analyzing the Options**: - **Option (a)**: \((x)/(m) = f(T)\) at constant \(p\) - This relation suggests that the amount of adsorbate per unit mass of adsorbent is a function of temperature when pressure is constant. This is related to adsorption processes as it can be derived from adsorption isotherms. - **Option (b)**: \(p = f(T)\) at constant \((x)/(m)\) - This implies that pressure is a function of temperature when the ratio \((x)/(m)\) is constant. This does not directly relate to the adsorption process as it does not involve the relationship between adsorbate and adsorbent. - **Option (c)**: \((x)/(m) = p \times T\) - This suggests a direct proportionality between the amount of adsorbate per unit mass of adsorbent and the product of pressure and temperature. This is not a standard relation in adsorption isotherms and does not hold true in general. - **Option (d)**: \((x)/(m) = f(p)\) at constant \(T\) - This indicates that the amount of adsorbate per unit mass of adsorbent is a function of pressure when temperature is constant. This is a valid relation in adsorption processes and is consistent with adsorption isotherms. 3. **Conclusion**: Based on the analysis, options (a), (d) are related to the adsorption process. However, option (b) does not relate to the adsorption process as it does not involve a direct relationship between adsorbate and adsorbent, and option (c) is not a recognized relation in adsorption theory. ### Final Answer: The relation that is **not** related to the adsorption process is **(c)** \((x)/(m) = p \times T\).
To determine which of the given relations is related to the adsorption process, we need to analyze each option based on the principles of adsorption isotherms. ### Step-by-Step Solution: 1. **Understanding Adsorption**: Adsorption is the process where molecules from a gas or liquid adhere to a solid surface (adsorbent). The amount of adsorbate (x) on the adsorbent (m) can be expressed in terms of pressure (p) and temperature (T). 2. **Analyzing the Options**: - **Option (a)**: \((x)/(m) = f(T)\) at constant \(p\) ...
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