Name: Equivalent Conductance
Uploaded: 2019-07-19
Duration: 4 min 34 s
Description: Equivalent conductance defined as the conductance of an electrolyte solution containing one gram equivalent of the electrolyte. Learn more through this video.

Question

The rate of the chemical reaction doubles for an increase of $10 K$ in absolute temperature from $298 K .$ Calculate $E_{a} .$

Accepted Answer

Given that
Initial temperature $(T_{1}) = 298 K$
Final temperature $(T_{2}) = (298 + 10) K = 308 K$
We know that the rate of the reaction doubles when temperature is increased by $10^{o} C or 10 K .$
Therefore, let assume value of $k_{1} = k$ and that of $k_{2} = 2 k$
Also, $R = 8.314 J K^{- 1} m o l^{- 1}$

Activation energy is defined as the minimum amount of extra energy required by a reacting molecule to get converted into product.

Arrhenius proposed a quantitative relationship between rate constant and temperature.

From Arrhenius equation, we get
$l n \frac{k_{2}}{k_{1}} = \frac{E}{R} [\frac{T_{2} - T_{1}}{T_{1} T_{2}}]$

$l o g \frac{k_{2}}{k_{1}} = \frac{E}{2.303 R} [\frac{T_{2} - T_{1}}{T_{1} T_{2}}]$

$l o g \frac{2 k}{k} = \frac{E}{2.303 R} [\frac{308 - 298}{298 \times 308}]$

We get:
$l o g \frac{2 k}{k} = \frac{E_{a}}{2.303 \times 8.314} [\frac{10}{298 \times 308}]$

$\Rightarrow l o g 2 = \frac{E_{a}}{2.303 \times 8.314} [\frac{10}{298 \times 308}]$

$\Rightarrow E_{a} = \frac{2.303 \times 8.314 \times 298 \times 308 \times 0.3010}{10}$

$= 52897.778 J m o l^{- 1}$
$= 52. 89 k J m o l^{- 1}$

The rate of the chemical reaction doubles for an increase of $10 K$ in absolute temperature from $298 K .$ Calculate $E_{a} .$

Important Questions on Electrochemistry and Chemical Kinetics

Learn and Prepare for any exam you want !

The rate of the chemical reaction doubles for an increase of 10 K in absolute temperature from 298 K. Calculate Ea.

Important Questions on Electrochemistry and Chemical Kinetics

Learn and Prepare for any exam you want !

The rate of the chemical reaction doubles for an increase of $10 K$ in absolute temperature from $298 K .$ Calculate $E_{a} .$