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Characteristics of Chemical Equilibrium

Relationship ...

Question

Relationship between $K_{p}$ and $K_{c}$ is $K_{p} = K_{c} (R T)^{Δ n}$ .
If true enter 1 else enter 0.

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Solution

Answer 1
For the general reaction
$a A + b B ⇌ c C + d D$
$K_{c}$ is an equilibrium constant in terms of molar concentrations and is usually defined as:
$K_{c} = \frac{[C]^{c} [D]^{d}}{[A]^{a} [B]^{b}}$
$K_{p}$ is an equilibrium constant in terms of partial pressures. and is usually defined as:
$K_{p} = \frac{(P_{C})^{c} (P_{D})^{d}}{(P_{A})^{a} (P_{B})^{b}}$
$P = \frac{n R T}{V} = [C o n c] R T$
$K_{p} = \frac{([C] R T)^{c} ([D] R T)^{d}}{([A] R T)^{a} ([B] R T)^{b}} = K_{c} \frac{(R T)^{c} (R T)^{d}}{(R T)^{a} (R T)^{b}}$
$K_{p} = K_{c} R T^{Δ n}$

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