Respuesta :
The rate of disappearance of O2(g) under the same conditions is 2.5 × 10⁻⁵ m s⁻¹.
What is the rate law of a chemical equation?
The rate law of a chemical reaction equation is usually dependent on the concentration of the reactant species in the equation.
The chemical reaction given is;
[tex]\mathbf{2 NO_{(g)} + O_{2(g)} \to 2 NO_{2(g)} }[/tex]
The rate law for this reaction can be expressed as:
[tex]\mathbf{= -\dfrac{1}{2}\dfrac{d[NO]}{dt} = -\dfrac{1}{1}\dfrac{d[O_2]}{dt}= +\dfrac{1}{2}\dfrac{d[NO_2]}{dt}}[/tex]
Recall that:
- The rate of disappearance of NO(g) = 5.0× 10⁻⁵ m s⁻¹.
- Since both NO and O2 are the reacting species;
Then:
- The rate of disappearance of NO(g) is equal to the rate of disappearance of O2(g)
[tex]\mathbf{= -\dfrac{1}{2}\dfrac{d[NO]}{dt} = -\dfrac{1}{1}\dfrac{d[O_2]}{dt}}[/tex]
[tex]\mathbf{= -\dfrac{1}{2} \times 5.0 \times 10^{-5} = rate \ of \ disappearance \ of \ O_2}[/tex]
Thus;
The rate of disappearance of O2 = 2.5 × 10⁻⁵ m s⁻¹.
Therefore, we can conclude that two molecules of NO are consumed per one molecule of O2.
Learn more about the rate law here:
https://brainly.com/question/14945022