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Convert 37.1 liters of phosphorus to molecules.

Answer :

Final answer:

To convert 37.1 liters of phosphorus into molecules, you need to first convert liters to moles by dividing by 22.4 (Since one mole of any gas occupies 22.4 liters at STP). You then convert the moles into molecules by multiplying by Avogadro's number (6.022 x 10^23 molecules/mole). This yields approximately 9.97 x 10^23 phosphorus molecules.

Explanation:

To convert the volume of a gas in liters to the amount in molecules, you would follow these steps:

  1. You need to first convert liters to moles. For any gas, one mole occupies 22.4 liters at STP (Standard Temperature and Pressure).
  2. So, divide the given volume by 22.4 to get the amount in moles. In this case, 37.1 liters of phosphorus divided by 22.4 liters/mole gives approximately 1.656 moles of phosphorus.
  3. Finally, you need to convert moles to molecules using Avogadro's number (6.022 x 10^23 molecules/mole). Multiply the number of moles by Avogadro's number to get the number of molecules. So, 1.656 moles x Avogadro's number gives about 9.97 x 10^23 molecules.

So, 37.1 liters of phosphorus will contain approximately 9.97 x 10^23 molecules at STP.

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