JEE MAIN - Chemistry (2021 - 22th July Evening Shift - No. 22)
$${N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + {1 \over 2}{O_{2(g)}}$$
In the above first order reaction the initial concentration of N2O5 is 2.40 $$\times$$ 10$$-$$2 mol L$$-$$1 at 318 K. The concentration of N2O5 after 1 hour was 1.60 $$\times$$ 10$$-$$2 mol L$$-$$1. The rate constant of the reaction at 318 K is ______________ $$\times$$ 10$$-$$3 min$$-$$1. (Nearest integer)
[Given : log 3 = 0.477, log 5 = 0.699]
In the above first order reaction the initial concentration of N2O5 is 2.40 $$\times$$ 10$$-$$2 mol L$$-$$1 at 318 K. The concentration of N2O5 after 1 hour was 1.60 $$\times$$ 10$$-$$2 mol L$$-$$1. The rate constant of the reaction at 318 K is ______________ $$\times$$ 10$$-$$3 min$$-$$1. (Nearest integer)
[Given : log 3 = 0.477, log 5 = 0.699]
Answer
7
Explanation
$$K = {{2.303} \over t}\log {{{{[{N_2}{O_5}]}_0}} \over {{{[{N_2}{O_5}]}_t}}}$$
$$ = {{2.303} \over {60}}\log {{2.4} \over {1.6}} = 6.76 \times {10^{ - 3}}$$ min$$-$$1 $$ \approx $$ 7 $$\times$$ 10$$-$$3 min$$-$$1
$$ = {{2.303} \over {60}}\log {{2.4} \over {1.6}} = 6.76 \times {10^{ - 3}}$$ min$$-$$1 $$ \approx $$ 7 $$\times$$ 10$$-$$3 min$$-$$1
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