The mole fraction of ethanol in a solution of ethanol in water is 0.05 and the density of solution is 0.997 g/cc.
Which of the following statement(s) is/are correct?
A
Molarity of the solution is 3.57M
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B
Molarity of the solution is 2.57M
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C
Molality of the solution is 2.92m
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D
Molality of the solution is 3.52m
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Solution
The correct option is C Molality of the solution is 2.92m Mole fraction of C2H5OH=moles of C2H5OHmoles ofC2H5OH+moles of H2O=0.05=5100 ∴100 moles of solution contain 5 moles of C2H5OH. Weight of C2H5OH=moles×mol. wt. =5g×46gmol−1=230g. Weight of H2O=95×18=1710g ∴Molality =51710×1000=2.92m. ∴ Weight of solution=230+1710=1940g Volume of solution=19400.997cc=1945.8mL=1.9458L Molarity=51.9458=2.57M