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19mg of 9-fluorenone is dissolved in 5ml of diethyl ether. The resulting organic solution is extracted with 10ml of water. The Kp for 9-fluorenone in diethyle ether/water is 9.5, how much would remian in the ether layer?

Respuesta :

Answer:

The value is [tex] z = 15.7 mg[/tex]

Explanation:

From the question we are told that

The mass of 9-fluorenone is m = 19 mg

The volume of diethyl ether V = 5 ml

The volume of water is [tex]V_w = 10 ml[/tex]

The equilibrium constant for 9-fluorenone is [tex]K_p = 9.5[/tex]

Generally the equilibrium constant for 9-fluorenone is mathematically represented as

[tex]K_p = \frac{ \frac{z }{V} }{ \frac{m - x }{V_w} }[/tex]

Here z is the remaining mass of 9-fluorenone

=> [tex]9.5 = \frac{ \frac{z }{5} }{ \frac{19 - z }{ 10} }[/tex]

=> [tex]9.5 = \frac{2z}{19 - z}[/tex]

=> [tex] z =  15.7 mg[/tex]

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