Question

Chapter 13, Question 14 Parameterization A chemist is studying the rate of the Haber synthesis: N2 + 3H2 2 NH3 Starting with a closed reactor containing 1.25 mol/L of N2 and 0.50 mol/L of Hz, the chemist finds that the H2 concentration has fallen to 0.25 mol/L in 27 seconds. What is the relative rate of reaction over this time? the tolerance is +/-29 LINK TO TEXT What is the average rate of NH3 production? the tolerance is +/-2%

Answer 1

relative rate of reaction = 3.1 x 10^-3 M/s

average rate of NH₃ production = 6.2 x 10^-3 M/s

N₂concentration after 27 seconds = 1.17 M

Explanation

Rate of reaction = -$\Delta$[N₂]/$\Delta$t = -(1/3)*$\Delta$[H₂]/$\Delta$t = (1/2)*$\Delta$[NH₃]/$\Delta$t

(1.) Rate of reaction = -(1/3)*$\Delta$[H₂]/$\Delta$t

Rate of reaction = -(1/3) * ([H₂]_final - [H₂]_initial) / (t₂ - t₁)

Rate of reaction = -(1/3) * (0.25 M - 0.50 M) / (27s - 0)

Rate of reaction = 3.1 x 10^-3 M/s

(2.) Rate of reaction = (1/2)*$\Delta$[NH₃]/$\Delta$t

$\Delta$[NH₃]/$\Delta$t = (Rate of reaction) * 2

$\Delta$[NH₃]/$\Delta$t = (3.1 x 10^-3 M/s) * 2

$\Delta$[NH₃]/$\Delta$t = 6.2 x 10^-3 M/s