You need 150g of pure lithium for an experiment you're doing. You have 675g of lithium oxide (Li2O). Can you extract all the lithium you need from the amount of compound you have? Show your reasoning.

Respuesta :

Answer: Yes we can extract all the lithium from the amount of compound we have.

Explanation:

To calculate the moles :

[tex]moles=\frac{\text {given mass}}{\text {Molar mass}}[/tex]

[tex]\text{Moles of} Li=\frac{150g}{7g/mol}=21.4moles[/tex]

[tex]\text{Moles of} Li_2O=\frac{675g}{30g/mol}=22.5moles[/tex]

[tex]2Li_2O\rightarrow 4Li+O_2[/tex]

According to stoichiometry :

2 moles of [tex]Li_2O[/tex] produce 4 moles of [tex]Li[/tex]

Thus 22.5 moles of [tex]Li_2O[/tex] will produce=[tex]\frac{4}{2}\times 22.5=45moles[/tex]  of Li

As 21.4 moles is a lesser quantity than 45 moles, thus it can be produced

Yes, you can extract all the lithium you need from the compound

We'll begin by calculating the mass of lithium, Li in 1 mole of Li₂O. This can be obtained as described below:

1 mole of Li₂O = (2×7) + 16

1 mole of Li₂O = 14 + 16 = 30 g

SUMMARY

30 g of Li₂O contains 14 g of Li.

  • With the above information in mind, we can determine the mass of Li in 675 g of lithium oxide, Li₂O. This can be obtained as follow:

30 g of Li₂O contains 14 g of Li.

Therefore,

675 g of Li₂O Will contain = (675 × 14)/30 = 315 g of Li.

  • From the calculation made above, we can see that there are 315 g of Li in 675 g of Li₂O. Thus, we can conclude that 150 g of Li can be extracted from the compound (i.e 675 g of Li₂O)

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