A technician carries out the reaction 2 SO₂(g) + O₂(g) → 2 SO₃(g) at 25°C and 1.00 atm in a cylinder fitted with a piston and maintained at constant pressure. Initially, 0.030 mol SO₂ and 0.030 mol O₂ are present in the cylinder. The technician then adds a catalyst to initiate the reaction. 

(a) Calculate the volume of the cylinder containing the reactant gases before reaction begins.

(b) What is the limiting reactant? 

(c) Assuming that the reaction goes to completion and that the temperature and pressure of the reaction remain constant, what is the final volume of the cylinder (include any excess reactant)? 

(d) How much work takes place, and is it done by the system or on the system? 

(e) How much enthalpy is exchanged, and does it leave or enter the system?

(f) From your answers to parts (d) and (e), calculate the change in internal energy accompanying the reaction.