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The compressibility factor for \( \mathrm{N}_{2} \) at \( -50^{\circ} \mathrm{C} \) and 800 atm pressure is \( 1.95 \) and at \( 100^{\circ} \mathrm{C} \) and \( 200 \mathrm{~atm} \), it is 1.10. A certain mass of nitrogen occupied one litre at \( -50^{\circ} \mathrm{C} \) and \( 800 \mathrm{~atm} \). Calculate the volume
\( \mathrm{P} \) occupied by the same quantity of \( \mathrm{N}_{2} \) at \( 100^{\circ} \mathrm{C} \) and \( 200 \mathrm{~atm} \).

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