Answer:
0.488 mol
Explanation:
By the ideal gas law:
PV = nRT
Where P is the pressure, V is the volume, n is the number of moles, R is the gas constant (0.082 atm.L/mol.K), and T is the temperature in K. Thus, after the reaction:
P = 2.92 atm
V = 4.50 L
T = 55.2°C + 273 = 328.2 K
PV = nRT
n = PV/RT
n = (2.92*4.50)/(0.082*328.2)
n = 0.488 mol