Question

What is the enthalpy change of adsorption when 10 grams of activated charcoal absorb 1 mole of methane gas at a temperature of 298 K? Given that the van't Hoff factor for the adsorption of methane on activated charcoal is 10.5 kJ/mol.

Answer 1

The enthalpy change of adsorption  H_ads  can be calculated using the van't Hoff factor  H_van't Hoff  given for the adsorption of methane on activated charcoal. In this case, the van't Hoff factor is 10.5 kJ/mol.Since 1 mole of methane gas is being adsorbed by the activated charcoal, the enthalpy change of adsorption can be directly obtained from the van't Hoff factor:H_ads = H_van't HoffH_ads = 10.5 kJ/molTherefore, the enthalpy change of adsorption when 10 grams of activated charcoal absorb 1 mole of methane gas at 298 K is 10.5 kJ/mol.