Question

What is the theoretical amount of heat required to desorb 5 grams of CO2 adsorbed on activated carbon if the enthalpy change for this process is -25 kJ/mol? (Assume complete desorption of CO2)

Answer 1

To calculate the theoretical amount of heat required to desorb 5 grams of CO2, we first need to determine the number of moles of CO2 present. The molar mass of CO2 is 12.01 g/mol  for carbon  + 2 * 16.00 g/mol  for oxygen  = 44.01 g/mol.Now, we can calculate the number of moles of CO2:moles of CO2 = mass of CO2 / molar mass of CO2moles of CO2 = 5 g / 44.01 g/mol = 0.1136 molSince the enthalpy change for the desorption process is -25 kJ/mol, the heat required to desorb CO2 is positive  since we need to supply heat to reverse the process . Therefore, the heat required is +25 kJ/mol.Finally, we can calculate the theoretical amount of heat required to desorb 5 grams of CO2:Heat required = moles of CO2 * enthalpy change per moleHeat required = 0.1136 mol * 25 kJ/mol = 2.84 kJSo, the theoretical amount of heat required to desorb 5 grams of CO2 adsorbed on activated carbon is 2.84 kJ.