Question 12.4: What is the rate of decomposition of N2O5 at 55°C when its c......

Chemistry [1013538]

What is the rate of decomposition of $N_{2}O_{5}$ at 55°C when its concentration is 0.030 M? (See Worked Example 12.3.)

STRATEGY

Calculate the rate by substituting the rate constant found in Worked Example 12.3 $\left( 1.7 \times 10^{-3}s^{-1} \right)$ and the given concentration (0.030 M) into the rate law

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\text{Rate} = – \frac{\Delta [N_{2}O_{5}]}{\Delta t} = k [N_{2}O_{5}] = (\frac{1.7 \times 10^{-3}}{s}) (0.030  M) = 5.1 \times 10^{-5}  M/s

✓BALLPARK CHECK Because the reaction is first order in $N_{2}O_{5}$ and the con-centration of $N_{2}O_{5}$ is 3/2 times that in experiment 1 of Worked Example 12.3, the decomposition rate will increase by a factor of 3/2 from $3.4 \times 10^{-5} M/s \text{to about} 5 \times 10^{-5} M/s$ , which agrees with the detailed solution.

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