The catalytic gas phase reaction A → products is carried out in an isothermal batch reactor of 10 L volume using 0.1 kg of a solid catalyst. The reaction is first-order with (-r_A)=k''a(t)C_A where k''=1 L/(kg catalyst)(h) and C_A is the concentration of A in mol/L.
The catalyst activity undergoes first-order decay with rate constant k_d=0.01 per hour and a(t).
The reactant conversion after 1 day of operation is ______ (rounded off to 2 decimal places).