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What is the mole fraction sucrose when 295 g sucrose C 12H 22O 11 (molar mass 342.3 g/mol) is dissolved in 405 g water?

Answer :

Answer:

Answer: Mole fraction of sucrose is 0.0369.

Explanation:

Mole fraction is the ratio of moles of a particular component to the total number of moles.

Given : 295 g of sucrose is dissolved in 405 g of water.

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

a) [tex]\text{Number of moles of sucrose}=\frac{295g}{342.3g/mol}=0.862moles[/tex]

b) [tex]\text{Number of moles of water}=\frac{405g}{18g/mol}=22.5moles[/tex][tex]\text {mole fraction of sucrose}=\frac{\text {moles of sucrose}}{\text {moles of water+moles of sucrose}}[/tex]

Putting in the values

[tex]\text {mole fraction of sucrose}=\frac{0.862}{22.5+0.862}=0.0369[/tex]

Thus mole fraction of sucrose is 0.0369.

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