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Molecules of benzoic acid (C(6)H(5)COO...

Molecules of benzoic acid `(C_(6)H_(5)COOH)` dimerise in benzene. ‘w’ g of the acid dissolved in 30g of benzene shows a depression in freezing point equal to 2K. If the percentage association of the acid to form dimer in the solution is 80, then w is : (Given that `K_(f)=5K Kg "mol"^(-1)` Molar mass of benzoic acid `=122 g "mol"^(-1)`)

A

2.4g

B

1.5g

C

1.0g

D

1.8g

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Understand the Dimerization of Benzoic Acid Benzoic acid (C₆H₅COOH) dimerizes in benzene, meaning two molecules of benzoic acid combine to form one dimer. This affects the number of particles in solution. ### Step 2: Use the Freezing Point Depression Formula The formula for freezing point depression is given by: \[ ...
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