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21 votes
21 votes
How many grams are in 2.3 x 10^24 molecules of nitrogen gas

User Reticentroot
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1 Answer

24 votes
24 votes

Answer

53.47 grams

Step-by-step explanation

to calculate the mass (grams) of the nitrogen, we first need to determine the number of moles

1 mole has 6.022x10^23 molecules according to Avogadros number

to get the number of moles we divide 2.3x10^24 by avogadros number

(2.3x10^24) / (6.022x10^23)

= 3.819 moles

the mass can be determine by using the following equation

mass = n x M

n - moles

M - Molar mass of nitrogen

mass = (3.819 mols) x (14.00g/mol)

= 53.47 grams

User Exkoria
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