Question

Phosphorus pentachloride dissociates as follows, in a closed reaction vessel $$PC{l_5}\left( g \right) \rightleftharpoons PC{l_3}\left( g \right) + C{l_2}\left( g \right)$$
If total pressure at equilibrium of the reaction mixture is $$P$$ and degree of dissociation of $$PC{l_5}$$  is $$x,$$ the partial pressure of $$PC{l_3}$$  will be

A. $$\left( {\frac{x}{{x - 1}}} \right)P$$
B. $$\left( {\frac{x}{{1 - x}}} \right)P$$
C. $$\left( {\frac{x}{{x + 1}}} \right)P$$  
D. $$\left( {\frac{{2x}}{{1 - x}}} \right)P$$
Answer :   $$\left( {\frac{x}{{x + 1}}} \right)P$$
Solution :
$$\mathop {PC{l_5}\left( g \right)}\limits_{1 - x} \rightleftharpoons \mathop {PC{l_3}\left( g \right)}\limits_x + \mathop {C{l_2}\left( g \right)}\limits_x $$
Total moles after dissociation $$1 - x + x + x = 1 + x$$
$${p_{PC{l_3}}} = $$  mole fraction of $$PC{l_3}$$  × Total pressure
$$\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = }}\left( {\frac{x}{{1 + x}}} \right)P$$

Releted MCQ Question on
Physical Chemistry >> Chemical Equilibrium

Releted Question 1

For the reaction : $${H_2}\left( g \right) + {I_2}\left( g \right) \rightleftharpoons 2HI\left( g \right)$$      the equilibrium constant $${K_p}$$ changes with

A. total pressure
B. catalyst
C. the amounts of $${H_2}$$ and $${I_2}$$ present
D. temperature
Releted Question 2

A liquid is in equilibrium with its vapour at its boiling point. On the average, the molecules in the two phases have equal :

A. inter-molecular forces
B. potential energy
C. total energy
D. kinetic energy
Releted Question 3

Pure ammonia is placed in a vessel at a temperature where its dissociation constant $$(a)$$ is appreciable. At equilibrium :

A. $${K_p}$$  does not change significantly with pressure.
B. does not change with pressure.
C. concentration of $$N{H_3}$$  does not change with pressure.
D. concentration of hydrogen is less than that of nitrogen.
Releted Question 4

An example of a reversible reaction is :

A. $$Pb{\left( {N{O_3}} \right)_2}aq + 2NaI\left( {aq} \right) \to Pb{I_2}\left( s \right) + 2NaN{O_3}\left( {aq} \right)$$
B. $$AgN{O_3}\left( {aq} \right) + HCl\left( {aq} \right) \to AgCl\left( s \right) + NaN{O_3}\left( {aq} \right)$$
C. $$2Na\left( s \right) + {H_2}O\left( l \right) \to 2NaOH\left( {aq} \right) + {H_2}\left( g \right)$$
D. $$KN{O_3}\left( {aq} \right) + NaCl\left( {aq} \right) \to KCl\left( {aq} \right) + NaN{O_3}\left( {aq} \right)$$

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Chemical Equilibrium


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