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Standard XII

Chemistry

Derivation of Kp and Kc

Derive the ex...

Question

Derive the expressions for $K_{p}$ and $K_{c}$ for decomposition of $P {C l}_{5}$ ?

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Solution

$P C l_{5} ⇌ P C l_{3} + C l_{2}$
$K_{c} = \frac{[P C l_{3}] [C l_{2}]}{[P C l_{5}]}$
$K_{P} = \frac{P_{P C l_{3}} P_{C l_{2}}}{P_{P C l_{5}}}$
$K_{P} = K_{C} (R T)^{Δ n}$
$K_{P} = K_{C} (R T)^{1 + 1 - 1}$
$K_{P} = K_{C} (R T)^{1}$
$K_{P} = K_{C} (R T)$

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Similar questions

Q. Derive the expressions for

K_{c}

and

K_{p}

for the decomposition of

P {C l}_{5}

Q. Derive the expressions

K_{c}

and

K_{p}

for decomposition of

P C l_{5}

At 473 K, equilibrium constant Kc for decomposition of phosphorus pentachloride, $P C l_{5} i s 8.3 \times 10^{- 3}$ . If decomposition is depicted as,
$P C l_{5} (g) \leftrightarrow P C l_{3} (g) + C l_{2} (g) Δ_{r} H^{\circ} = 124.0 k J m o l^{- 1}$

Write an expression for $K_{c}$ for the reaction.

What is the value of $K_{c}$ for the reverse reaction at the same termperature?

What would be the effect on $K_{c}$ if
(i) more $P C l_{5}$ is added
(ii) pressure is increased?
(iii) The temperature is increased?

At 473 K, equilibrium constant K_cfor decomposition of phosphorus pentachloride, PCl₅ is 8.3 ×10^-3. If decomposition is depicted as,

_rH° = 124.0 kJmol^–1

a) Write an expression for K_cfor the reaction.

b) What is the value of K_cfor the reverse reaction at the same temperature?

c) What would be the effect on K_c if (i) more PCl₅ is added (ii) pressure is increased? (iii) The temperature is increased?

Q. At 473 K, equilibrium constant

K_{c}

for decomposition of phosphorus pentachloride,

{P C l}_{5}

8.3 \times 10^{- 3}

. If decomposition is depicted as,

{P C l}_{5} (g) ⇌ {P C l}_{3} (g) + {C l}_{2} (g)

Δ_{r} H^{⊖} = 124.0 k J {m o l}^{- 1}

(a) Write an expression for

K_{c}

for the reaction.
(b) What is the value of

K_{c}

for the reverse reaction at the same temperature?
(c) What would be the effect on

K_{c}

if (i) more

{P C l}_{5}

is added (ii) pressure is increased (iii) the temperature is increased ?

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Derive the expressions for Kp and Kc for decomposition of PCl5?

PCl5⇌PCl3+Cl2Kc=[PCl3][Cl2][PCl5]KP=PPCl3PCl2PPCl5KP=KC(RT)ΔnKP=KC(RT)1+1−1KP=KC(RT)1KP=KC(RT)

Derive the expressions for $K_{p}$ and $K_{c}$ for decomposition of $P {C l}_{5}$ ?

$P C l_{5} ⇌ P C l_{3} + C l_{2}$
$K_{c} = \frac{[P C l_{3}] [C l_{2}]}{[P C l_{5}]}$
$K_{P} = \frac{P_{P C l_{3}} P_{C l_{2}}}{P_{P C l_{5}}}$
$K_{P} = K_{C} (R T)^{Δ n}$
$K_{P} = K_{C} (R T)^{1 + 1 - 1}$
$K_{P} = K_{C} (R T)^{1}$
$K_{P} = K_{C} (R T)$