States Of Matter

Question
CBSEENCH11008157

Phosphorus pentachloride dissociates as follows, in a closed reaction vessel,
PCl5 (g) ⇌ PCl3(g) + cl2(g)
If total pressure at equilibrium of the reaction mixture is P and degree of dissociation of PCl5 is x, the partial pressure of PCl3 will be

  • open parentheses fraction numerator straight x over denominator straight x plus 1 end fraction close parentheses straight P
  • open parentheses fraction numerator 2 straight x over denominator straight x plus 1 end fraction close parentheses straight P
  • open parentheses fraction numerator straight x over denominator straight x minus 1 end fraction close parentheses straight P
  • open parentheses fraction numerator 2 straight x over denominator straight x minus 1 end fraction close parentheses straight P

Solution

A.

open parentheses fraction numerator straight x over denominator straight x plus 1 end fraction close parentheses straight P PCl subscript 5 space rightwards harpoon over leftwards harpoon with space space space space space space on top space PCl subscript 3 space left parenthesis straight g right parenthesis space plus space space Cl subscript 2 space left parenthesis straight g right parenthesis
left parenthesis 1 minus straight x right parenthesis space space space space space space space space straight x space space space space space space space space space space space space space space space straight x
straight P subscript PCl subscript 3 end subscript space equals open parentheses fraction numerator straight x over denominator 1 plus straight x end fraction close parentheses space straight x space straight P

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