The Brunauer-Emmett-Teller (BET) surface area measurement data for adsorption of \(\mathrm{N_2}\) gas at 77 K on 1.0 g of an adsorbent fits into a straight line, when \(\dfrac{z}{(1-z)V}\) is plotted against \(z\). The slope and intercept of the straight line are \(6 \times 10^{-4}\) mm\(^{-3}\) and \(4 \times 10^{-6}\) mm\(^{-3}\), respectively. The surface area (in m\(^2\) g\(^{-1}\)) of the adsorbent is (rounded off to one decimal place).
(Given: 1 mm\(^3\) of \(\mathrm{N_2}\) gas corresponds to \(2.7 \times 10^{16}\) molecules and each molecule occupies 0.16 nm\(^2\). \(V\) is the volume of gas adsorbed in mm\(^3\), \(z\) is \(p/p_o\), where \(p\) is the pressure of the \(\mathrm{N_2}\) gas and \(p_o\) is equilibrium vapour pressure of liquid \(\mathrm{N_2}\))
