"The elementary reaction 2 NO2(g) → 2 NO(g) + O2(g) is second order in NO2 and the rate constant at 600 K is 6.77 × 10-1 M-1s-1. The reaction half-life at this temperature when [NO2]0 = 0.45 M is ________ s."

Respuesta :

Answer : The half-life at this temperature is, 3.28 s

Explanation :

To calculate the half-life for second order the expression will be:

[tex]t_{1/2}=\frac{1}{k\times [A_o]}[/tex]

When,

[tex]t_{1/2}[/tex] = half-life = ?

[tex][A_o][/tex] = initial concentration = 0.45 M

k = rate constant = [tex]6.77\times 10^{-1}M^{-1}s^{-1}[/tex]

Now put all the given values in the above formula, we get:

[tex]t_{1/2}=\frac{1}{6.77\times 10^{-1}M^{-1}s^{-1}\times 0.45M}[/tex]

[tex]t_{1/2}=3.28s[/tex]

Therefore, the half-life at this temperature is, 3.28 s

The half-life at this temperature is 3.28 s.

How to calculate Half-life for second order reaction?

Half-lives of reactions with other orders depend on the concentrations of the reactants.

[tex]t_{1/2}=\frac{1}{k*[A_0]}[/tex]

where,

[tex]t_{1/2}[/tex] = half-life = ?

[tex][A_0][/tex] = initial concentration = 0.45 M

k = rate constant = [tex]6.77 * 10^{-1} M^{-1}s^{-1}[/tex]

On substituting values in above formula:

[tex]t_{1/2}=\frac{1}{k*[A_0]}\\\\t_{1/2}=\frac{1}{6.77*10^{-1}M^{-1}s^{-1}*0.45M} \\\\t_{1/2}=3.28s[/tex]

Therefore, the half-life at this temperature is 3.28 s.

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