In the Haber reaction, patented by German chemist Fritz Haber in 1908, dinitroge
ID: 707612 • Letter: I
Question
In the Haber reaction, patented by German chemist Fritz Haber in 1908, dinitrogen gas combines with dihydrogen gas produce gaseous ammonia. This reaction is now the first step taken to make most of the world's fertilizer. Suppose a chemical engineer studying a new catalyst for the Haber reaction finds that 892. liters per second of dinitrogen are consumed when the reaction is run at 212. C and 0.89 atm. Calculate the rate at which being significant digits. ammonia is being produced. Give your answer in kilograms per second. Round your answer to 2 MacBook Air 6 8 2Explanation / Answer
The balanced reaction is
N2(g) + 3H2 = 2NH3(g)
Volume of N2 consumed = 892 L/s
Temperature T = 212 + 273 = 485 K
Pressure P = 0.89 atm
Gas constant R = 0.0821 L-atm/mol-K
From the ideal gas equation
Moles of N2 consumed
n = PV/RT
= 0.89 atm x 892 L/s / 0.0821 L-atm/mol-K x 485 K
= 19.937 mol/s
Moles of NH3 produced
= 2 mol NH3 x 19.937 mol/s N2 / 1 mol N2
= 39.875 mol/s NH3
Mass of NH3 produced = moles x molecular weight
= 39.875 mol/s x 17 g/nol
= 677.87 g/s x 1kg/1000g
= 0.678 kg/s
= 6.78 x 10^-1 kg/s