$0.6 \ mol$ of $NH_3$ in a reaction vessel of $2 \ dm^3$ capacity was brought to equilibrium. The vessel was then found to contain $0.15 \ mol$ of $H_2$ formed by the reaction $2NH_{3(g)} \rightleftharpoons N_{2(g)} + 3H_{2(g)}$. Which of the following statements is true?

  • A
    $0.15 \ mol$ of the original $NH_3$ had dissociated at equilibrium
  • B
    $0.55 \ mol$ of ammonia is left in the vessel
  • C
    At equilibrium the vessel contained $0.45 \ mol$ of $N_2$
  • D
    The concentration of $NH_3$ at equilibrium is $0.25 \ mol \ dm^{-3}$

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