ADN NH4NNO22 is being considered as a possible replacement f

(ADN), NH4N(NO2)2, is being considered as a possible replacement for ammonium perchlorate as the oxidizer in the solid fuel booster rockets used to launch space shuttles. When detonated by a spark, ADN rapidly decomposes to produce a gasecous mixture of No, O%, and H20. This is not a combustion reaction because ADN is the only reactant. The reaction releases a large amount of heat, so the gases are initially formed at a high temperature and pressure. The thrust of the rocket results mainly from the expansion of this gas mixture. Suppose a 1.5-kg sample of ADN is detonated and decomposes completely to give N2, O2, and H2O. If the resulting gas mixture expands until it reaches a temperature of 100.0°C and a pressure of 1.00 atm, what volume will it occupy? N2, 02, and

Solution

Solution:

NH4N(NO2)2 molar mass = 124.06 g / mol

moles of NH4N(NO2)2   = 1.5 x 10^3 / 124.06 = 12.0

NH4N(NO2)2 ----------------------> 2 N2 + 2 H2O + O2

1 mol 2mol      2 mol      1 mol

12.0 25.8        25.8       12.0

total moles of gaseous product formed = 25.8 + 25.8 +12.0=63.6

n=63.6

P   = 1 atm

T = 100 + 273 = 373 K

P V = n R T

1 x V = 63.6 x 0.0821 x 373

V = 1947 L

volume of gasesous will occupy = 1947 L