Asked in ETEA MDCAT 2012 2012Moderate

The volume occupied by 3.2 g of oxygen at STP is:

Correct answer: B. 2.24 dm3

  • A. 22.4 dm3
  • B. 2.24 dm3
  • C. 11.2 dm3
  • D. 16.0 dm3

Explanation

At STP, one mole of any ideal gas occupies 22.4 dm3. The molar mass of oxygen (O2) is 32 g/mol. Therefore, the number of moles in 3.2 g of oxygen is 3.2 g / 32 g/mol = 0.1 moles. The volume occupied by 0.1 moles of oxygen is 0.1 × 22.4 dm3 = 2.24 dm3.Option A represents the full molar volume at STP, not applicable to 3.2 g. Option C is half the molar volume, applicable to 16 g of oxygen, not 3.2 g. Option D does not correlate with any significant fraction of molar volume in this context.

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About Standard Temperature and Pressure

Standard temperature and pressure provide reference conditions for gas calculations: 0°C or 273 K and, in the usual school convention, 1 atm pressure. Questions use these conditions to relate pressure, volume, temperature and amount of gas, including the molar volume of an ideal gas, about 22.4 dm³.

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