A solution contains 180 g of glucose and 162 g of water. What is the mole fraction of glucose?

Answer 1

#chi_"glucose" = 0.10#

In order to find the mole fraction of glucose in this solution, you need to know

To find the number of moles of glucose present in #"180 g"#, use the compound's molar mass, which is equal to #"180.16 g mol"^(-1)#.

Your sample of glucose will thus contain

#180 color(red)(cancel(color(black)("g"))) * overbrace("1 mole glucose"/(180.16color(red)(cancel(color(black)("g")))))^(color(blue)("molar mass of glucose")) = "0.9991 moles glucose"#
Now do the same for water, using the fact that its molar mass is equal to #"18.015 g mol"^(-1)#
#162 color(red)(cancel(color(black)("g"))) * overbrace("1 mole water"/(18.015color(red)(cancel(color(black)("g")))))^(color(purple)("molar mass of water")) = "8.9925 moles water"#

The total number of moles present in this solution will be

#n_"total" = "0.9991 moles" + "8.9925 moles" = "9.9916 moles"#

Now, the mole fraction of glucose is equal to the number of moles of glucose divided by the total number of moles present in solution.

In your case, this is equal to

#chi_"glucose" = (0.9991 color(red)(cancel(color(black)("moles"))))/(9.9916color(red)(cancel(color(black)("moles")))) = 0.10#

The answer is rounded to two sig figs, the number of sig figs you have for the mass of glucose.

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Answer 2

Mole fraction of glucose = moles of glucose / total moles in solution Moles of glucose = 1 mol Moles of water = 9 mol Total moles in solution = 10 mol Mole fraction of glucose = 1/10 = 0.1

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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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