Question

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 $(−r_{A}) = k′\cdot a(t)\cdot C_{A},$ where k′ = 1 L/(kg catalyst·h) and $C_{A}$ is the concentration of A in mol/L. The catalyst activity a(t) undergoes first-order decay with rate constant $k_{d} = 0.01$ per hour and a(0) = 1. The reactant conversion after 1 day of operation is ____ (rounded off to 2 decimal places).

Official answer: 0.17 to 0.21