KVPY Sample Paper KVPY Stream-SX Model Paper-13

  • question_answer
    Adsorption of a gas follows Freundlich adsorption isotherm. In the given plot, x is the mass of the gas y adsorbed on mass m of the adsorbent at pressure p.\[\frac{x}{m}\]

    A) \[{{\text{P}}^{\frac{1}{4}}}\] 

    B) \[{{\text{P}}^{2}}\]

    C) P

    D) \[{{\text{P}}^{\frac{1}{2}}}\]

    Correct Answer: D

    Solution :

    \[\frac{x}{m}\,=\,K\,\times \,{{p}^{l/n}}\]
    \[\log \,\frac{x}{m}\,=\,\log \,\text{K}\,+\frac{1}{n}\log \text{P}\]
    \[m\,=\,\frac{1}{n}\,=\,\frac{2}{4}\,=\,\frac{1}{2}\,\]\[\Rightarrow \]\[n=2\]
    So,       \[\frac{x}{m}\,=\,\text{K}\times {{\text{p}}^{\text{1/2}}}\]


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