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The decomposition of nitrogen pentoxi...

The decomposition of nitrogen pentoxide is given as `2N_(2)O_(5) to 4NO_(2) + O_(2)` . The rates of reaction are `([N_(2)O_(5)])/(Delta t ) =k_(1)[N_(2)O_(5)],(Delta[NO_(2)])/(Deltat) = k_(2) [N_(2)O_(5)] and (Delta [O_(2)])/(Delta t) = k_(3) [N_(2)O_(5)]`
Relate the rate constants `k_(1) , k_(2)` and `k_(3)` .

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To relate the rate constants \( k_1 \), \( k_2 \), and \( k_3 \) for the decomposition of nitrogen pentoxide \( 2N_2O_5 \rightarrow 4NO_2 + O_2 \), we can start by writing the rate expressions for each component involved in the reaction. ### Step 1: Write the rate expressions The rate of reaction can be expressed in terms of the change in concentration of each species over time. The given rates are: 1. For \( N_2O_5 \): \[ -\frac{1}{2} \frac{\Delta [N_2O_5]}{\Delta t} = k_1 [N_2O_5] ...
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