Question

Hydrogen gas reduces NO to N2 in the following reaction: 2H2(g) + 2NO(g) + 2H20(g) +N_(8) The initial reaction rates of four mixtures of H2 and NO were measured at 1500°C with the following results: Experiment [H2lo (M) [NO] (M) Initial Rate (M/s) 1 0.212 0.136 0.0275 2 0.212 0.272 0.0553 3 0.424 0.544 0.435 0.848 0.544 1.75 4

Answer 1

reaction given 2 H2(g) + 2 dolg) - 2 H2o18) t dalg) Experime hent [Halo (M) [do]. (M) inital Rate (m/s) 0.0275 0.212 0.136 2 0.212 0.272 0.0553 0.544 0.435 0.424 0.848 4 0.5 44 1.75 rate rate O are ve Know that law relate the reaction (n with concentra ation reactants. Rate law be given asi rate(r) = K [H₂]m [no]n Here, k rate constant of reaction and n order reaction with respect reactants He and No respectively for experiment -l. initial rate (82) = K (0.212) (0.136) For experiment -2 initial rate (82) = K (0.212) (0.272) For experiment - 3 initial rate (83) = k 10.424) (0.544) for experimentu Initial rate (ru) = K (0.848) (0.544) Nowi *(0.2725m (0.2727n 0.0553 Mis Klaziem (016) 0.0275 Mts

0.272 n Cena 2 => n = 2' o.136 soi order of reaction with respect to is ] reactant dowi ru K(0.848) (0544) 73 K(0.424) (0.544) 1.75 Mle = 0.435 malso 2 tt पप्प = 24= 2m M=2 2² to order oE reaction with respect reactant Ho is 12 Nowi r = K (0.212) (0.136) 0.0275 m/s Putting m=2 n=1 K(0.212) 2 (0:136)' = 0.0275 m/s K(0.044944 X 0.136) M²M = 0.0275 m/s K(0.00611) M² = 0.0275 mis K = 0.0275 Mls 4.50M- 25-1 0.00611 MB Hence, rate constant for the reaction at 1500°C E14.50 Answer - 1 = M25