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x grams of water is mixed in 69 ~g of ethanol. Mole fraction of ethanol in the resultant solution is 0.6 . What is the value of x in grams?

Options

  1. A54
  2. B36
  3. C180
  4. D18

Correct answer

D. 18

Step-by-step solution

According to question, aligned & w_A=x ~g , m_A=18, X_A=1-0.6=0.4 & w_B=69 ~g , m_B=46, X_B=0.4 aligned We know that, X_A= n_A n_A+n_B gathered or 0.4= w_A / m_A w_A / m_A+69 / 46 0.4= x 18 x 18 + 3 2 0.4 ( 2 x+54 36 )= x 18 gathered or 2 x+54=5 x or 3 x=54, x=18 g

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