Question

What are the mole fraction of glucose and water respectively when 50 gram glucose is dissolved in twice its amount of H2O

Answer 1

I am not the student of class 11, yet I'll try to answer it...

Molar mass of glucose(C6H12O6)=

6(12)+12(1)+6(16)

= 72+ 12+ 96

= 180g/mol of glucose..

Then, molar mass of water(H2O)=

2(1)+1(16)

= 2+16= 18 g/mol of water...

*Use molar mass of each to solve for the number of each:

1. 50g of glucose/180g/mol of glucose= 0.27777....= 0.277 mol of glucose

2.Since, the amount of water is twice the amount of water,

Therefore, amount of water=100g

So, 100g of water/18g/mol of water

= 5.555...= 5.55 mol of water

Total: 5.55+0.27= 5.82 mol solution

* To calculate the mole fraction of each:

Mole fraction of glucose= 0.27 mol of glucose/5.85 mol solution= 0.0461(approx)

Mole fraction of water= 5.55 mol of water/ 5.85 mol solution= 0.948 or 0.95(approx)..

This is the answer...

Hope it helps!!!!

Pls mark my answer as Brainliest if u r satisfied with my answer.... :)

Answer 2

Answer:

The mole fraction of glucose = 0.0461

The mole fraction of water = 0.948

Explanation:

Given:

• Weight of glucose = 50 grams
• Weight of water = 2 × weight of glucose
•                            = 2 × 50
• Weight of water  = 100 grams
• Molecular formula of glucose =  $C_{6} H_{12} O_{6}$
• Molecular formula of Water = $H_{2}O$

Molar mass of glucose = 6(12) + 12(1) + 6(16)

                                      = 180 g/mol of glucose

Molar mass of Water = 2(1) + 16

                                  = 18 g/mol of water

To find:

1. Mole fraction of glucose

2. Mole fraction of water

Mole of glucose:

$\frac{50 g of glucose}{180 g/mol of glucose} = 0.2777 mol of glucose$

Mole of water:

$\frac{100 g of water}{18 g/mol of water} = 5.55 mol of water$

Total = 5.55 + 0.27

         = 5.82 mole solution

To find the mole fraction:

$Mole fraction of glucose =\frac{0.27 mol of glucose}{5.85 mol solution}$

                                    = 0.0461

$Mole fraction of water = \frac{5.55 mol of water}{5.85 mol solution}$

                                    = 0.948

Note: Mole fraction has no units.

Answer : Mole fraction of Glucose = 0.0461

               Mole fraction of water = 0.948

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