Question

A sample of lithium sulfate, (Li2SO4), has 2.94 x 1023 atoms

of lithium. How many moles of lithium sulfate is the sample?

Answer 1

The sample containing 2.94 x 10^23 atoms of lithium corresponds to 0.244 moles of lithium sulfate, as each formula unit of Li2SO4 contains two lithium atoms.

Step-by-step explanation:

The student asked how many moles of lithium sulfate are in a sample containing 2.94 x 1023 atoms of lithium. Given that lithium sulfate, Li2SO4, contains two lithium atoms per formula unit, this information can be used to calculate the number of formula units of lithium sulfate, and subsequently, the number of moles.

To calculate the number of moles of lithium sulfate, we first determine how many formula units of lithium are in the sample:

• 2.94 x 1023 lithium atoms × (1 formula unit Li2SO4/2 Li atoms) = 1.47 x 1023 formula units of Li2SO4

Next, we convert formula units to moles:

• 1.47 x 1023 formula units × (1 mole/6.022 x 1023 formula units) = 0.244 moles of Li2SO4

Answer 2

0.245 moles

Step-by-step explanation:

moles of lithium = 2*moles of Li2SO4

so moles of LI2SO4=2.94*10^23/(2*6*10^23)=0.245