For a gaseous reaction, following data is given: A→ B, k1= 1015e-2000/T C → D, k2 = 1014e-1000/T The temperature at which k1=k2 is:

Question

For a gaseous reaction, following data is given: A→ B, k1= 1015e-2000/T C → D, k2 = 1014e-1000/T The temperature at which k1=k2 is: (A) 1000 K (B) 2000 K (C) 868.82 K (D) 434.2 K

Tardigrade Admin · Accepted Answer

k1=k2 1015e-2000/T=1014e-1000/T 10=e1000/T 2.303 log 10=(1000/T) T=434.2K

Q. For a gaseous reaction, following data is given:
$A \to B, k_{1} = 1 0^{15} e^{- 2000/ T}$
$C \to D, k_{2} = 1 0^{14} e^{- 1000/ T}$
The temperature at which $k_{1} = k_{2}$ is:

$1000 K$

$2000 K$

$868.82 K$

$434.2 K$

$k_{1} = k_{2}$
$1 0^{15} e^{- 2000/ T} = 1 0^{14} e^{- 1000/ T} 10 = e^{1000/ T}$
$2.303 l o g 10 = \frac{1000}{T}$
$T = 434.2 K$

Q. For a gaseous reaction, following data is given: A→B,k1​=1015e−2000/T C→D,k2​=1014e−1000/T The temperature at which k1​=k2​ is:

1000K

2000K

868.82K

434.2K