Respuesta :
So the question ask that how to prepare 20ml of the liquid mixture having a denstiy of 2.7 g/cm and the best answer, base on the data you have given and further formulation of a solution, the answer would be CHCL3=11.73ml and CHBr3 = 8.268 ml. I hope you are satisfied with my answer
Answer : The volume of liquid mixture [tex]CHCl_3[/tex] and [tex]CHBr_3[/tex] are, 11.73 ml and 8.27 ml respectively.
Explanation : Given,
The overall density of mixture = [tex]2.07g/cm^3=2.07g/ml[/tex]
The density of [tex]CHCl_3[/tex] = 1.492 g/ml
The density of [tex]CHBr_3[/tex] = 2.890 g/ml
Total volume of liquid mixture = 20 ml
Let us assumed that the volume of [tex]CHCl_3[/tex] = X ml and the volume of [tex]CHBr_3[/tex] = Y ml
So, the sum of volumes is equal to the total volume of mixture required.
[tex]Xml+Yml=20ml[/tex] ...............(1)
As we have to determine the density of the liquid mixture. So, the mass would be,
[tex]Density\times Volume=Mass[/tex]
The equation will be :
[tex]\text{Density of }CHCl_3\times \text{Volume of }CHCl_3+\text{Density of }CHBr_3\times \text{Volume of }CHBr_3=\text{Density of mixture}\times \text{Volume of mixture}[/tex]
[tex]1.492g/ml\times (Xml)+2.890g/ml\times (Yml)=2.07g/ml\times (20ml)[/tex] ........(2)
Now equating both the equation 1 and 2, we get the
X = 11.73 ml
Y = 8.27 ml
Therefore, the volume of liquid mixture [tex]CHCl_3[/tex] and [tex]CHBr_3[/tex] are, 11.73 ml and 8.27 ml respectively.