Mole ConceptHard

Question

A quantity of 720 g water is added in 230 g ethanol at a certain temperature to get 1 L of solution. Which of the following is/are correct regarding the solution formed?

Options

A.The density of solution is 950 kg/m3
B.the mole fraction of ethanol is 0.11
C.The molarity of solution is 5 M
D.the molality of solution is 6.94 M

Solution

$d = \frac{950}{1000}\frac{\text{gm}}{\text{c}\text{m}^{3}} = 950\text{ kg/}\text{m}^{3}$

$X_{C_{2}H_{50}H} = \frac{\frac{230}{46}}{\frac{230}{46} + \frac{720}{18}} = \frac{1}{9} $$${M_{C_{2}H_{50}H} = 5\text{ M} }{\text{and }\text{M}_{C_{2}H_{50}H} = \frac{5}{720} \times 1000 = 6.94\text{ M}}$$

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