The successive ionisation enthalpies of an element $X$ in $(kJ \ mol^{-1})$ are $1012$,$1907$,$2955$,$4955$,$6275$ and $21,260$ respectively. The element $X$ is:

  • A
    $C$
  • B
    $P$
  • C
    $S$
  • D
    $Cl$

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The $1^{\text{st}}$,$2^{\text{nd}}$,and $3^{\text{rd}}$ ionization enthalpies $I_1, I_2$,and $I_3$ of four atoms with atomic numbers $n, n+1, n+2$,and $n+3$,where $n < 10$,are tabulated below. What is the value of $n$?
Atomic number $I_1$ $(kJ/mol)$ $I_2$ $(kJ/mol)$ $I_3$ $(kJ/mol)$
$n$ $I_1$ $I_2$ $I_3$
$n+1$ $1681$ $3374$ $6050$
$n+2$ $2081$ $3952$ $6122$
$n+3$ $496$ $4562$ $6910$
$n+4$ $738$ $1451$ $7733$

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