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

Derive an integrated rate equation in terms of total pressure

(P)

and the partial pressures

P_{A}, P_{B}, P_{C}

for the gaseous reaction

A (g) \to B (g) + C (g) .

Accepted Answer

Given reaction :- $A (g) \to B (g) + C (g) .$

Total pressure $= P_{A} + P_{B} + P_{C} = P$

The total pressure obviously includes the pressure of $A, B$ and $C$ . At $t = 0$ , the system would only have $A$ . Therefore, the total pressure at $t = 0$ would be the initial pressure of $A$ .

Let $P_{o}$ is the initial pressure of $A$ .

At time $t$ , let us assume moles of $A$ will decompose to give $B$ and $C$ because of which its pressure is reduced by an amount $x$ while that of $B$ and $C$ is increased by $x$ each.

$A (g) \to B (g) + C (g) Initial P_{o} 0 0 At time t P_{A} = P_{o} - x P_{B} = x P_{C} = x$

$∴$ Total pressure at time $t$ , $P = P_{o} + x$

$\Rightarrow x = P - P_{o}$

Now the pressure of A at time t would be

$P_{A} = P_{o} - x = P_{o} - (P - P_{o}) \Rightarrow P_{A} = 2 P_{o} - P$
Or, $P_{o} = (\frac{P + P_{A}}{2})$

Now, $k = \frac{2.303}{t} \log \frac{P_{o}}{P_{A}}$
$k = \frac{2.303}{t} \log (\frac{\frac{P + P_{A}}{2}}{P_{A}}) = \frac{2.303}{t} \log (\frac{P + P_{A}}{2 P_{A}})$

Derive an integrated rate equation in terms of total pressure $(P)$ and the partial pressures $P_{A}, P_{B}, P_{C}$ for the gaseous reaction $A (g) \to B (g) + C (g) .$

Important Questions on Electrochemistry and Chemical Kinetics

Learn and Prepare for any exam you want !

Derive an integrated rate equation in terms of total pressure (P) and the partial pressures PA, PB, PC for the gaseous reaction A(g) → B(g) + C(g).

Important Questions on Electrochemistry and Chemical Kinetics

Learn and Prepare for any exam you want !

Derive an integrated rate equation in terms of total pressure $(P)$ and the partial pressures $P_{A}, P_{B}, P_{C}$ for the gaseous reaction $A (g) \to B (g) + C (g) .$