Respuesta :
Answer: The molarity of solution is 1.08 M
Explanation:
We are given:
(m/m) of phenol = 1.40 %
This means that 1.40 g of phenol is present in 100 g of solution.
To calculate volume of solution, we use the equation:
[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]
Density of solution = 0.9956 g/mL
Mass of solution = 100 g
Putting values in above equation, we get:
[tex]0.9956g/mL=\frac{100g}{\text{Volume of solution}}\\\\\text{Volume of solution}=100.442mL[/tex]
To calculate the molarity of solution, we use the equation:
[tex]\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}[/tex]
We are given:
Mass of solute (phenol) = 1.40 g
Molar mass of phenol = 94.11 g/mol
Volume of solution = 100.442 mL
Putting values in above equation, we get:
[tex]\text{Molarity of solution}=\frac{1.40g\times 1000}{94.11g/mol\times 100.442mL}\\\\\text{Molarity of solution}=0.15M[/tex]
Hence, the molarity of solution is 0.15 M
If the solution has a density of 0.9956 g/ml, then the molarity of the solution is 0.15M.
How we calculate the molarity?
Molarity of the solution can be calculated as:
M = W×1000 / M×V, where
W = given mass
M = molar mass
V = volume
First we calculate the volume of solution as:
Volume = mass / density
Density of water = 0.9956 g/mL (given)
% Mass of phenol = 1.40% i.e. 1.4g of phenol is present in 100g of water.
So, mass of water = 100g
On putting these values we get the value of volume as:
Volume = 100g / 0.9956 g/mL = 100.442mL
Now we calculate the molarity for the phenol solute in the water by using the above formula as:
M = 1.40×1000 / 94.11×100.442
M = 0.15M
Hence, the molarity of solution is 0.15M.
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