A substance A' decomposes by a first order reaction starting init… - Vidyadip

MCQ

A substance $A$' decomposes by a first order reaction starting initially with $ [A] =2.00\,m $ and after $200\,\min$ $ [A] = 0.15\,m$. For this reaction what is the value of $k$

✓
$1.29 \times {10^{ - 2}}\,{\min ^{ - 1}}$
B
$2.29 \times {10^{ - 2}}\,{\min ^{ - 1}}$
C
$3.29 \times {10^{ - 2}}\,{\min ^{ - 1}}$
D
$4.40 \times {10^{ - 2}}\,{\min ^{ - 1}}$

✓

Answer

Correct option: A.

$1.29 \times {10^{ - 2}}\,{\min ^{ - 1}}$

a
(a)Given $A(a) = 2.00\,m, $ $ t = 200\, min $ and $a(a-x) = 0.15\,m$

we know

$k = \frac{{2.303}}{t}\log \frac{a}{{a - x}} = \frac{{2.303}}{{200}}\log \frac{{2.00}}{{0.15}}$

$ = \frac{{2.303}}{{200}} \times (0.301 + 0.824) = 1.29 \times {10^{ - 2}}\,{\min ^{ - 1}}$

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