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Derivation of Kp and Kc

PCl2⇌ PCl3 + ...

Question

$P C l_{2} ⇌ P C l_{3} + C l_{2}$ in the reversible reaction the moles of $P C l_{2}, P C l_{3}$ and $C l_{2}$ are $a, b$ and $c$ respectively and total pressure is $P$ then value of $K_{p}$ is__________.

\frac{b c}{a} R T

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\frac{b}{(a + b + c)} P

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\frac{b c P}{a (a + b + c)}

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\frac{c}{(a + b + c)} P

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Solution

The correct option is B $\frac{b c P}{a (a + b + c)}$
${P C l}_{5} ⇌ {P C l}_{3} + {C l}_{2}$
$a$ $b$ $c$
Total pressure $P$
$K = \frac{P^{{C l}_{2}} . P^{{C l}_{2}}}{P^{{P C l}_{5}}}$
$P^{{C l}_{2}} = (\frac{C}{a + b + c}) \times P$
$P^{{C l}_{3}} = (\frac{C}{a + b + c}) \times P$
$P^{{C l}_{5}} = (\frac{C}{a + b + c}) \times P$
$K = \frac{\frac{(c) (b)}{{(a + b + c)}^{2}} P^{2}}{(\frac{a}{a + b + c}) P} = \frac{b c}{a (a + b + c)} P$

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Similar questions

$P C l_{5} ⇌ P C l_{3} + C l_{2}$ in the reversible reaction, the moles of $P C l_{5}$ , $P C l_{3}$ and $C l_{2}$ are a, b and c respectively at equilibrium and total pressure is P, then value of $K_{p}$ is:

P C l_{3} ⇌ P C l_{3} + C l_{2}

in the reversible reaction the moles of

P C l_{3}

and

C l_{2}

are

a, b

and

c

respectively and total pressure is

P

, then value of

K_{p}

is:

P C l_{5} (g)

\to

P C l_{3} (g) + C l_{2} (g)

in the reversible reaction, the moles of

P C l_{5}, P C l_{3} a n d C l_{2}

are a, b and c respectively and total pressure at equilibrium is P, then value of

K_{p}

is:

Q. In the reaction,

P C l_{5} ⇌ P C l_{3} + C l_{2}

, the amount of

P C l_{5}, P C l_{3}

and

P C l_{2}

at equilibrium are

2

moles each and the total pressure is

3

atm. The equilibrium constant

K_{p}

is:

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PCl2⇌PCl3+Cl2 in the reversible reaction the moles of PCl2,PCl3 and Cl2 are a,b and c respectively and total pressure is P then value of Kp is__________.

The correct option is B bcPa(a+b+c)PCl5⇌PCl3+Cl2 a b cTotal pressure PK=PCl2.PCl2PPCl5PCl2=(Ca+b+c)×PPCl3=(Ca+b+c)×PPCl5=(Ca+b+c)×PK=(c)(b)(a+b+c)2P2(aa+b+c)P=bca(a+b+c)P

$P C l_{2} ⇌ P C l_{3} + C l_{2}$ in the reversible reaction the moles of $P C l_{2}, P C l_{3}$ and $C l_{2}$ are $a, b$ and $c$ respectively and total pressure is $P$ then value of $K_{p}$ is__________.