\(CO _2\) gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of …

\(CO _2\) gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of \(CO _2\) adsorbed becomes 64 times when the pressure of \(CO _2\) is doubled. The value of \(n\) in the Freundlich isotherm equation is ________\(\times 10^{-2}\) (Round off to the nearest integer) \(\left[ R =0.0821 L atm K ^{-1} mol ^{-1}\right] \quad\)

[JEE Main 2021, 27 Jul (Shift 1)]