silver salt of certain organic acid with atomic ratio as 2:3 contains ...
Empirical formula is C2H3O2Mol. mass =Basicity(108/x -107)=2(108*107/65.06 -107)=118Mol.mass/Empirical mass=118/59=2Mol.formula=(C2H3O2)*2=C4H6O4
silver salt of certain organic acid with atomic ratio as 2:3 contains ...
Given:
- The atomic ratio of silver to the organic acid is 2:3.
- The silver salt contains 65.06% silver.
- Each molecule of the acid has two ionizable hydrogen atoms.
To Find:
The formula of the acid.
Solution:
Step 1: Determine the Atomic Ratio
- Let's assume the atomic ratio of silver to the acid is 2x:3x.
- According to the given information, the silver salt contains 65.06% silver. This means that 65.06g out of 100g of the salt is silver.
- From the atomic ratio, we can write the equation: (2x * atomic mass of silver) / (2x * atomic mass of silver + 3x * molar mass of acid) = 0.6506
- Simplifying the equation gives: atomic mass of silver / (atomic mass of silver + (3/2) * molar mass of acid) = 0.6506
- Rearranging the equation, we get: (atomic mass of silver / (atomic mass of silver + (3/2) * molar mass of acid)) = 0.6506
- Since the atomic mass of silver is known, we can solve for x.
Step 2: Calculate the Atomic Mass of Silver
- The atomic mass of silver is 107.87 g/mol.
Step 3: Solve for x
- Substituting the known values into the equation, we get: (107.87 / (107.87 + (3/2) * molar mass of acid)) = 0.6506
- Solving this equation will give us the value of x.
Step 4: Determine the Formula of the Acid
- Once we have the value of x, we can determine the atomic ratio and thus the formula of the acid.
- The atomic ratio is 2x:3x, where x is the value obtained in the previous step.
- The formula of the acid can be written as CxHyOz, where x, y, and z are the respective subscripts.
- From the atomic ratio, we can write the equation: (2x * atomic mass of carbon + 2 * y + 16 * z) / (3x * atomic mass of carbon + 3 * y + 16 * z) = (2/3)
- Simplifying the equation will give us the values of y and z.
Step 5: Find the Final Formula
- Once we have the values of y and z, we can determine the final formula of the acid by substituting these values into CxHyOz.
Answer:
The formula of the acid is C3H6O2, which corresponds to option D.
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