$5.5 \text{ mg}$ of nitrogen gas dissolves in $180 \text{ g}$ of water at $273 \text{ K}$ and $1 \text{ atm}$ pressure due to nitrogen gas. The mole fraction of nitrogen in $180 \text{ g}$ of water at $5 \text{ atm}$ nitrogen pressure is approximately:

  • A
    $1 \times 10^{-5}$
  • B
    $1 \times 10^{-4}$
  • C
    $1 \times 10^{-6}$
  • D
    $1 \times 10^{-3}$

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