Compressibility factor (Z) for $N_2$ at $-50^{\large\circ}C$ and 800atm pressure is 1.95. Calculate mole of $N_2$ gas required to fill a gas cylinder of 100mL capacity under the given conditions.

Question

$(a)\;22408\qquad(b)\;22.40\qquad(c)\;2240.8\qquad(d)\;2040$