Ammonium nitrite on heating produces a diatomic gas X, which forms a monolayer (e¬ffective area of each molecule 0.15 ${\text{nm}}^{\text{2}}$) when adsorbed on the surface of 1.00 g of  $\text{Fe}/{\text{Al}}_{\text{2}}{\text{O}}_{\text{3}}$  catalyst at 77 K, the boiling point of liquid X. Upon warming, the X occupies 2.24 ${\text{cm}}^{\text{3}}$  at  $0°\text{C}$ and 760 torr. What is the surface area of catalyst (in m²)? Give your answer after rounding off to integer
(Avogadro’s number  ${\text{N}}_{\text{A}}=\text{ 6 }\times \text{ 1}{0}^{\text{23}}$) R = 0.08 atm L $mo{l}^{-1} K^{-1}$