For a gaseous reaction, following data is given:A→B, k1=1015 e−2000/TC→D, k2=1014 e−1000/TThe temperature at which k1=k2 is:

When k1=k2, 1015e−2000/T=1014e−1000/T10=e1000/T2.303log⁡10=1000TT=434.2 K

For a gaseous reaction, following data is given:A→B, k1=1015 e−2000/TC→D, k2=1014 e−1000/TThe temperature at which k1=k2 is:

When k1=k2, 1015e−2000/T=1014e−1000/T10=e1000/T2.303log⁡10=1000TT=434.2 K

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For a gaseous reaction, following data is given:
$\begin{array}{l} A \to B, k_{1} = 10^{15} e^{- 2000 / T} \\ C \to D, k_{2} = 10^{14} e^{- 1000 / T} \end{array}$
The temperature at which $k_{1} = k_{2}$ is:

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1000 K

868.82 K

2000 K

434.2 K

answer is D.

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When $k_{1} = k_{2}$ ,

$\begin{array}{l} 10^{15} e^{- 2000 / T} = 10^{14} e^{- 1000 / T} \\ 10 = e^{1000 / T} \\ 2 .303 \log 10 = \frac{1000}{T} \\ T = 434 .2 K \end{array}$

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For a gaseous reaction, following data is given:A→B, k1=1015 e−2000/TC→D, k2=1014 e−1000/TThe temperature at which k1=k2 is:

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For a gaseous reaction, following data is given:
$\begin{array}{l} A \to B, k_{1} = 10^{15} e^{- 2000 / T} \\ C \to D, k_{2} = 10^{14} e^{- 1000 / T} \end{array}$
The temperature at which $k_{1} = k_{2}$ is: