A sample of chlorine gas of volume 1.00 L at 1.00 atm and 298 K reacts completely with 1.00 L of nitrogen gas and 2.00 L of oxygen gas at the same temperature and pressure. There is a single gaseous product, which fills a 2.00-L flask at 1.00 atm and 298 K. Use this information to determine the following characteristics of the product:

(a) Its empirical formula;

(b) Its molecular formula;

(c) The most favorable Lewis structure based on formal charge arguments (the central atom is an N atom);

(d) The molecular shape.