The number of grams in the given sample is 434.5 g.
Molar mass is the mass equivalent of Avogadro's number of atoms of an element, or Avogadro's number of molecules of in a chemical compound.
Given:
The number of molecules in the sample of N₂I₆ = 3.30 X 10²³
We need to find: the number of grams in the given sample,
One mole of a substance has exactly 6.022 X 10²³ elemental units. These elemental units can be molecules, ions, or atoms depending on the substance.
If 6.022 X 10²³ molecules of N₂I₆ constitute 1 mole of the substance,
Then 1 molecule will constitute 1/6.022 X 10²³ moles of the substance.
Therefore, 3.30 X 10²³ molecules of N₂I₆ will have 3.30 X 10²³ / 6.022 X 10²³ moles
= 3.300 / 6.022
= 0.55 moles
We know that the mass of 1 mole of a substance is equal to its molar mass.
The molar mass of N₂I₆ = 2 X Molar mass of N + 6 X Molar mass of I
= 2 X 14 + 6 X 127
= 28 + 762
= 790 g
Thus, 1 mole of N₂I₆ will weigh 790g
Therefore, 0.55 moles will weigh 790 X 0.55 g
= 434.5 g
Hence, the number of grams in the given sample is 434.5 g.
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Answer:
433g
Step-by-step explanation:
3.3x10^23 ,olecules x lmol/ na molecules x 789.44,/ mol = 433g
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