J.R. S. answered 05/01/23
Ph.D. University Professor with 10+ years Tutoring Experience
4C3H5N3O9(l) ==> 12CO2(g) + 10H2O(g) + 6N2(g) + O2(g) .. balanced equation
Use the ideal gas law: PV = nRT and solve for P (pressure)
moles of gas present = n = 12 + 10 + 6 + 1 = 29 mols
Volume = V = 616.1 ml x 1 L / 1000 ml = 0.6161 L
Temperature in Kelvin = T = 441ºC + 273 = 714K
Gas constant = R = 0.0821 Latm/Kmol
P = pressure = ?
P = nRT / V = (29)(0.0821)(714) / 0.6161
P = 2759 atm = 2760 atm (3 sig. figs.)