The distribution coefficient of a compound between ether and water is 5.8. A student takes 1.5.g of the compound and dissolves it in 45 mL of water. The resulting solution is placed in a separatory funnel and an extraction is performed using 15 mL of ether. How much of the compound is left behind in the water layer after this extraction.
0.3g
To determine how much of the compound is left behind in the water layer after the extraction, we need to calculate the number of moles of the compound in the water layer and the ether layer, and then compare the distribution of the compound between the two layers.
First, let's calculate the number of moles of the compound taken by the student:
Given mass of the compound = 1.5 g
Next, calculate the number of moles of the compound using its molar mass:
Molar mass of the compound = [you should provide the molar mass value or species to calculate]
Number of moles = mass of the compound / molar mass
Once you have determined the number of moles of the compound, you can calculate the number of moles in each layer using the distribution coefficient.
The distribution coefficient (KD) is defined as the concentration of the compound in the ether layer divided by the concentration in the water layer. In this case, the distribution coefficient is given as 5.8.
Let the amount of compound in the water layer be x (in grams) and in the ether layer be y (in grams).
Using the given information:
x / y = 1 / 5.8
We know that the total compound taken by the student is 1.5 g, so we can express y in terms of x:
y = 1.5 - x
Substituting this value into the equation above, we get:
x / (1.5 - x) = 1 / 5.8
Solving this equation gives us the value of x, which represents the amount of compound left behind in the water layer after the extraction.
To solve the equation, you can rearrange it to:
5.8x = 1.5 - x
6.8x = 1.5
x = 1.5 / 6.8
Once x is determined, you can calculate the amount of compound left behind in the water layer by multiplying it by the volume of water used in the extraction. In this case, the volume of water is 45 mL.
Amount of compound in water layer = x * volume of water
Substituting the values and performing the calculation will give you the result, indicating how much of the compound is left behind in the water layer after the extraction.