Question #165258

Convert 31 molecules AI into grams


1
Expert's answer
2021-02-22T05:56:52-0500

The atoms of aluminium or Al have a molar mass of 26.98 g/mol. According to the definition, 1 mole of an atomic substance (like Al) contains 6.022·1023 atoms. Therefore, the number of the moles of Al is:

n=316.0221023mol1=5.151023n = \frac{31}{6.022·10^{23}mol^{-1}} = 5.15·10^{-23} mol.

Finally, the mass of this quantity of Al is:

m=nM=5.15102326.98=1.401021m = nM = 5.15·10^{-23}·26.98 = 1.40·10^{-21} g.


Answer: the mass of 31 atoms of Al is 1.40·10-21 g.


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