Stoichem problem solving

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Detonation of nitroglycerin proceeds as shown in the following equation.

4 C3H5O9N3(l) → 12 CO2(g) + 6 N2(g) + O2(g) + 10 H2O(g)

(a) If a sample containing 1.97 mL of nitroglycerine (density = 1.592 g/mL) is detonated, how many total moles of gas are produced?

(b) If each mole of gas occupies 43 L under the conditions of the explosion, how many liters of gas are produced?

(c) How many grams of N2 are produced in the detonation?