For the first-order reaction, 2 n2o(g) → 2 n2(g) + o2(g), what is the concentration of n2o after 3 half-lives if 0.25 mol of n2o is initially placed into a 1.00-l reaction vessel?

The concentration of after 3 half-lives is 0.03125 M.

Explanation:

We are given:

Moles of = 0.25 moles

Volume of solution = 1 L

Putting values in above equation, we get:

where,

a = concentration of reactant left after n-half lives = ?

= Initial concentration of the reactant =  0.25 mol/L

n = number of half lives  = 3

Putting values in above equation, we get:

Hence, the concentration of after 3 half-lives is 0.03125 M.

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