How do I convert grams to moles to mole ratios? #"Mg" + "O"_2 -> "MgO"# 16.2g+10.67g=26.86g

Answer 1

Here's how you can do that.

Make sure the chemical equation is balanced first.

#color(blue)(2)"Mg"_ ((s)) + "O"_ (2(g)) -> color(purple)(2)"MgO"_ ((s))#
Notice that the reaction consumes #color(blue)(2)# moles of magnesium and #1# mole of oxygen gas and produces #color(purple)(2)# moles of magnesium oxide.

Thus, you could say that each chemical species involved in this reaction needs to have a certain number of moles in order to satisfy

#"moles Mg " : " moles O"_2color(white)(.): " moles MgO"#
#color(white)(aaaacolor(blue)(2)aaaa. color(black)(":") aaaacolor(black)(1) aaaaacolor(black)(":") aaaaacolor(purple)(2)#

You can now use molar mass to convert grams to moles. In this instance, you have

#M_ ("M Mg") = "24.3050 g mol"^(-1)#
#M_ ("M O"_2) = "32.0 g mol"^(-1)#
#M_ ("MgO") = "40.3050 g mol"^(-1)#

Use the element's molar mass as a conversion factor to convert the mass of magnesium from grams to simply.

#16.2 color(red)(cancel(color(black)("g"))) * "1 mole Mg"/(24.3050 color(red)(cancel(color(black)("g")))) = "0.6665 moles Mg"#

Apply the same procedure to the oxygen gas sample.

#10.67 color(red)(cancel(color(black)("g"))) * "1 mole O"_2/(32.0color(red)(cancel(color(black)("g")))) = "0.3334 moles O"_2#

Lastly, apply the same procedure to the magnesium oxide.

#26.86 color(red)(cancel(color(black)("g"))) * "1 mole MgO"/(40.3050color(red)(cancel(color(black)("g")))) = "0.6664 moles MgO"#
So, you know that when #0.6665# moles of magnesium react with #0.3334# moles of oxygen gas, you get #0.6664# moles of magnesium oxide.

Due to rounding and differences in the values used for the molar masses of the three chemical species, the values do not exactly match.

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Answer 2
  1. Calculate moles of Mg: (0.666) moles
  2. Calculate moles of (O_2): (0.333) moles
  3. Determine mole ratio: (Mg : O_2 = 2 : 1) (simplified from (2 : 2))
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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