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Arrhenius Acid

Write the rel...

Question

Write the relationships between $K_{c}$ and $K_{p}$ for the following equilibria:
a) $H_{2} (g) + I_{2} (g) ⇌ 2 H I (g)$
b) $2 N O B r (g) ⇌ 2 N O (g) + B r_{2} (g)$
c) $C I F (g) + F_{2} (g) ⇌ C I F_{3} (g)$

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Solution

$K_{p} = K_{c} (R T)^{Δ n}$ $Δ n = n_{p r o d u c t} - n_{r e a c t a n t}$
$(i) H_{2} (g) + I_{2} (g) ⇌ 2 H I (g)$
$\frac{[P_{H_{I}}]^{2}}{[P_{I_{2}}] [P_{H_{2}}]}$ = $\frac{[H I]^{2}}{[I_{2}] [H_{2}]} [R T]^{2 - 2}$
$K_{p} = K_{c} . [R T]^{o} ⟹ k_{p} = K_{c}$
$(i i) 2 N O B r (g) ⇌ 2 N O (g) + B r_{2} (g)$
$K_{p} = K_{c} [R T]^{3 - 2}$
$K_{p} = K_{c} . R T$
$(i i i) C l F (g) + F_{2} (g) ⇌ C l F_{3} (g)$
$K_{p} = K_{c} [R T]^{1 - 2}$
$K_{p} = \frac{K_{c} .}{R T}$

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