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The vapor of a nitrogen oxide with a mass of 1.08 g occupies 22.4 L at 0oC and pressure 7.60 Torr. What is the proper chemical name of this nitrogen oxide

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Eduard22sly

The proper chemical name of the nitrogen oxide compound having a mass of 1.08 g is dinitrogen pentoxide, N₂O₅

How to determine the mole of the nitrogen oxide

  • Volume (V) = 22.4 L
  • Pressure (P) = 7.6 torr
  • Temperature (T) = 0 °C = 0 + 273 = 273 KK
  • Gas constant (R) = 62.364 torr.L/Kmol
  • Number of mole (n) =?

Using the ideal gas equation, the number of mole of the nitrogen oxide can be obtained as follow:

PV = nRT

Divide both side by RT

n = PV / RT

n = (7.6 × 22.4) / (62.364 × 273)

n = 0.01 mole

How to determine the molar mass of the compound

  • Mass = 1.08 g
  • Mole = 0.01 mole
  • Molar mass =?

Molar mass = mass / mole

Molar mass = 1.08 / 0.01

Molar mass = 108 g/mol

Comparing the molar mass of the compound with the molar mass of nitrogen oxide compounds, only dinitrogen pentoxide (N₂O₅) has a molar mass of 108 g/mol.

Thus, the name of the compound is dinitrogen pentoxide

Check

Molar mass of N₂O₅ = (14×2) + (16×5)

Molar mass of N₂O₅ = 28 + 80

Molar mass of N₂O₅ = 108 g/mol

Learn more about ideal gas equation:

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