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In the Haber reaction, patented by German chemist Fritz Haber in 1908, dinitroge

ID: 956299 • Letter: I

Question

In the Haber reaction, patented by German chemist Fritz Haber in 1908, dinitrogen gas combines with dihydrogen gas to 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 821. liters per second of dinitrogen are consumed when the reaction is run at 178. degree C and 0.74 aim. Calculate the rate at which ammonia is being produced. Give your answer in kilograms per second. Round your answer to 2 significant digits.

Explanation / Answer

N2 (g) + 3 H2 (g) ----> 2 NH3 (g)
rate of reaction = -dN2/dt = -1/3*dH2/dt = +1/2dNH3/dt
Rate = -dN2/dt = 821 L/sec = -1/3* dH2/dt = +1/2dNH3/dt
dNH3/dt = 821 *2 = 1642 L/Sec
according to ideal gas equation PV = nRT
mass of NH3 = (Mw)PV/RT = (17 * 0.74 *821)/(0.0821 * (178 + 273))
mass of NH3 = 273.936 g /sec
mass of NH3 = 0.2739 kg/sec = 0.27 kg/sec