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 liters per second of dinitrogen are consumed when the reaction is run at and . Calculate the rate at which ammonia is being produced. Give your answer in kilograms per second. Be sure your answer has the correct number of significant digits.

Answer 1

0.41kg/sec

Step-by-step explanation:

PV= nRT

Given : V= 505 L

P=0.88 atm

R= 0.08206 Latm/K*mol

T= 172 .0C = 172+273 = 445 K

n = PV /RT = 0.88 * 505 / 0.08206 * 445 = 12.17 moles per sec of N2 are consumed

As per reaction : N2 + 3H2 ----> 2NH3

1 mole N2 is consumed to produce 2 moles NH3

moles of NH3 produced per sec :

(2 moles NH3/1mol N2) * 12.17 moles N2 = 24.34 moles NH3 per sec

grams of NH3 produced per sec =

24.34 moles NH3 per sec * molar mass NH3 = 24.34 moles NH3 per sec * 17.031 g/mol = 414.5 g NH3 per sec

rate in Kg/sec = 414.5 g NH3 per sec * (1kg /1000g) = 0.4145 Kg/sec

= 0.41kg/sec