If the density of a 21.71 m (molal) solution of ethanol, C2H5OH, in water is 0.914 g/mL, what is the molarity of ethanol in this solution?

Respuesta :

Answer:

9.9268 M of ethanol in solution

Explanation:

Molarity and molality are both concentrations of a chemical solution.

Molarity is defined as the ratio of moles of solute present to the volume of the solution (mol/L).

Molality is the ratio of moles of the solute to the mass of the solvent (mol/kg).

So, 1kg of solvent contains; mole of ( ethanol) = 21.71 mol

Mass of ethanol = mole * molar mass

Molar mass of ethanol(C2H5OH)

= (2*12) + (6*1) + 16

= 46 g/mol

= 21.71 * 46 = 998.66 g

= 0.99866 kg

Total mass of SOLUTION = solute + solvent

= 1 + 0.99866 = 1.99866 kg

Volume of solution = mass / mass concentration

= 1.99866/0.914

= 2.187 litre

Molarity = number of mole / volume

= 21.71 / 2.187 = 9.9268 M

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