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If x gram of gas is adsorbed by m gram of adsorbent at pressure P, the plot of log (x/m) versus log P is linear. The slope of the plot is: (n and k are constants and n > 1) [JEE-Main On line-2018]

1. log k
2. 1/n
3. 2k
4. n

Correct answer: 1/n

Solution

The linear relationship between log(x/m) and log P indicates that the adsorption follows a power law, where the slope of the plot is related to the exponent of the pressure term in the adsorption isotherm. Since n > 1, the slope being 1/n reflects the inverse relationship between the amount adsorbed and the pressure, confirming that as pressure increases, the amount adsorbed increases at a decreasing rate.

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