Calculate the mass percentage of benzene if 22 g of benzene is dissolved in 122 g of carbon tetrachloride.

Question

Consider the dissociation equilibrium of the following weak acid: \[ \mathrm{HA \rightleftharpoons H^+(aq) + A^-(aq)} \] If the \(pK_a\) of the acid is \(4\), then the pH of a \(10\ \text{mM}\) HA solution is ________ (Nearest integer). (Given: The degree of dissociation can be neglected with respect to unity)

Answer 1

Step 1: Write the given data.
Mass of benzene (solute) = 22 g
Mass of carbon tetrachloride (solvent) = 122 g

Step 2: Calculate the total mass of the solution.
Total mass of solution = Mass of solute + Mass of solvent
Total mass = 22 g + 122 g
Total mass = 144 g

Step 3: Use the formula for mass percentage.
Mass percentage = (Mass of solute / Mass of solution) × 100

Step 4: Substitute the values.
Mass percentage of benzene = (22 / 144) × 100
= 0.1527 × 100
= 15.27% (approx.)

Final Answer:
The mass percentage of benzene in the solution is 15.27%.

Calculate the mass percentage of benzene if 22 g of benzene is dissolved in 122 g of carbon tetrachloride.

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