Which type of graph gives straight line in Langmuir adsorption isotherm?

Options

A. `(x)/(m)to(1)/(p)`
B. `(m)/(x)to(1)/(p)`
C. `"log"_(10)(x)/(m)to(1)/(p)`
D. `"log"_(10)(x)/(m)to p`

Answer

B

Explanation

`(x)/(m)=(ap)/(1+bp)`
This equation is known as langmuir adsorption isotherm.
where, x=mass of gas adsorbed m=grams of the adsorbent and a and b are constant.
Taking reciprocal of both sides, we have
`(m)/(x)=(1+bp)/(ap)`
`implies(m)/(x)=(1)/(ap)+(b)/(a)`
thus, a plot of `(m)/(x)` versus `(1)/(p)` will be a straight line.
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