Question:

A plot of \(log\ \frac {x}{m}\) versus \(log \ p\) for the adsorption of a gas on a solid gives a straight line with slope equal to:

Updated On: Jul 26, 2024
  • - log k 
  • \(\frac {1}{n}\)
  • log k 
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The Correct Option is C

Solution and Explanation

\(\frac {x}{m} =k_p^{\frac1n}\)

∴ \(\frac {log\ x}{m}\)\(log\ k + \frac {1}{n}\  log\ p\)

∴ plot of \(log\ \frac {x}{m}\) vs \(log\  p\) will be linear with slope = \(\frac 1n\).

So, the correct option is (C): \(\frac 1n\)

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Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.