Answer to Question #100316 in Organic Chemistry for Jane

Question

Calculate the output of the reaction N2+3H2=2NH3 by nitrogen as a base. General pressure is 50·105 pa, equilibrium constant is K=1,64·10-4

Answer 1

Formula for calculation: K=p²_NH3/p_N2+p³_H2

Let's make a system of equations:

4p+x=50•10⁵, where x is pressure of NH₃

x²/p+27p³=1,64•10^-4

After math transformations:

(50•10⁵-4p)²=1,64 • 10^-4(p+27p³)

Calculating p.

p=162297, and back to the original condition: 50•10⁵=х+4•162297

Hence x equals x=43,5•10⁵ Pa

So, the yield of the reaction: 43,5/50 •100% = 87%