For the equilibrium $ \text{Liquid} \rightleftharpoons \text{Vapour} $,which of the following expressions is correct?

  • A
    $\frac{d \ln P}{dT} = \frac{\Delta H_{V}}{RT^2}$
  • B
    $\frac{d \ln P}{dT} = \frac{-\Delta H_{V}}{RT^2}$
  • C
    $\frac{d \ln P}{dT} = \frac{\Delta H_{V}}{RT}$
  • D
    $\frac{d \ln P}{dT} = \frac{-\Delta H_{V}}{RT}$

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$X_{2(g)} + Y_{2(g)} \rightleftharpoons 2Z_{(g)}$
$X_{2(g)}$ and $Y_{2(g)}$ are added to a $1 \ L$ flask and it is found that the system attains the above equilibrium at $T \ K$ with the number of moles of $X_{2(g)}$, $Y_{2(g)}$ and $Z_{(g)}$ being $3$, $3$ and $9 \ mol$ respectively (equilibrium moles). Under these conditions of equilibrium, $10 \ mol$ of $Z_{(g)}$ is added to the flask and the temperature is maintained at $T \ K$. Then the number of moles of $Z_{(g)}$ in the flask when the new equilibrium is established is . . . . . . . (Nearest integer).

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