1b)The decomposition of nitramide in aqueous solution at 25 °C NH2NO2(aq)N2O(g)

Question

1b)The decomposition of nitramide in aqueous solution at 25 °C NH2NO2(aq)N2O(g) + H2O(l) is first order in NH2NO2 with a rate constant of 4.70×10-5 s-1. If the initial concentration of NH2NO2 is 0.208 M, the concentration of NH2NO2 will be 5.47×10-2 M after------s have passed. 1c)The decomposition of hydrogen peroxide in dilute sodium hydroxide at 20 °C H2O2(aq)H2O(l) + ½ O2(g) is first order in H2O2. During one experiment it was found that when the initial concentration of H2O2 was 4.50×10-2 M, the concentration of H2O2 dropped to 1.00×10-2 M after 903 min had passed. Based on this experiment, the rate constant for the reaction is 1d)Solve following problems (1) X2 + (2.2 x 10-2)x – (1.2 x 10-4) =0

Explanation / Answer

1b)

rate constant k = 4.70 x 10^-5 s-1

initial concentration Ao = 0.208 M

after the concentration At = 5.47×10^-2 M

for first - order reaction :

k = 1/t ln (Ao / At)

4.70 x 10^-5 = 1/t ln (0.208 / 5.47×10^-2)

t = 28418.6 sec

time = 2.84 x 10^4 s

1c)

k = 1/903 x 60 ln (4.50 x 10^-2 / 1.00 x 10^-2)

    = 2.78 x 10^-5 s-1

rate constant k = 2.78 x 10^-5 s-1

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