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What mass of SF₆ (molar mass = 146.06 g/mol) can be found in a 15.0-L tank at STP?

A. 218 g
B. 4.58 x 10⁻³ g
C. 97.7 g

Answer :

The correct answer is C). 97.7 g. To find the mass of SF6 gas in a 15.0 L tank at STP, we use the molar volume of gas at STP (22.4 L/mol) to calculate the moles and then multiply by the molar mass of SF6 (146.06 g/mol). The correct mass is approximately 97.7 g.

The question asks for the mass of SF6 gas that can be found in a 15.0 L tank at standard temperature and pressure (STP). At STP, one mole of any gas occupies 22.4 L of volume. To find the number of moles of SF6 in the 15.0 L tank, we use the formula: number of moles = Volume at STP / Molar Volume. Therefore, the number of moles of SF6 = 15.0 L / 22.4 L/mol. Once the number of moles is calculated, we can multiply it by the molar mass of SF6, which is 146.06 g/mol, to find the mass.

  • Moles of SF6 = 15.0 L / 22.4 L/mol = 0.6696 mol (approximately)
  • Mass of SF6 = Moles of SF6 times Molar Mass of SF6 = 0.6696 mol times 146.06 g/mol
  • Mass of SF6 = 97.7 g (approximately)

The mass of SF6 found in a 15.0 L tank at STP is approximately 97.7 g, which corresponds to among the multiple-choice answers provided. Therefore, the correct answer is C). 97.7 g.

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Rewritten by : Jeany

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