Darlene had given the guy at the recycling place four hundred aluminum cans with a mass of 53.96 grams each. How many moles of aluminum are in each can? How many molecules of aluminum did Darlene give the recycling guy altogether?
1mol=mass in grams of any element
1mol=6.02 x 10^23 things

Respuesta :

1. The number of mole of aluminum in each can is 2 moles

2. The number of molecules of aluminum that Darlene gave to the recycling guy altogether is 4.816×10²⁶ molecules

Description of mole

The mole of a substance is related to it's mass and molar mass according to the following equation:

Mole = mass / molar mass

1. How to determine the mole in each can of aluminum

  • Mass of one Al can = 53.96 g
  • Molar mass of Al = 27 g/mol
  • Mole of one Al can =?

Mole = mass / molar mass

Mole of one Al can = 53.96 / 27

Mole of one Al can = 2 moles

2. How to determine the number of molecule

  • Number of Al cans = 400
  • Mole of one Al can = 2 moles
  • Total mole = 2 × 400 = 800 moles
  • Number of molecules =?

From Avogadro's hypothesis,

1 mole of Al = 6.02×10²³ molecules

Therefore,

800 moles of Al = 800 × 6.02×10²³

800 moles of Al = 4.816×10² molecules

Thus, Darlene gave to the recycling guy a total of 4.816×10²⁶ molecules

Learn more about mole and Avogadro's number:

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