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1.7225 g of a metal (bivalent) salt A(x)...

1.7225 g of a metal (bivalent) salt `A_(x)(CO_3)_(y)(OH)_(z)` was dissolved in water to make 100 " mL of " solution 50 " mL of " this solution required 10 " mL of " 0.5 M `H_2SO_4` solution for complete neutralisation using phenolphthalein indicator. Another 50 mL solution required 15 " mL of " same acid using methyl orange indicator. Deduce the formula of the salt.

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To solve the problem step by step, we will follow the information given in the question and derive the necessary equations to find the formula of the bivalent metal salt \( A_x(CO_3)_y(OH)_z \). ### Step 1: Understanding the Neutralization Reactions 1. **Using Phenolphthalein Indicator**: - The reaction involves the neutralization of carbonate ions \( CO_3^{2-} \) and hydroxide ions \( OH^- \) with sulfuric acid \( H_2SO_4 \). - The carbonate ions will react to form bicarbonate ions \( HCO_3^- \), and the hydroxide ions will be neutralized to water. 2. **Using Methyl Orange Indicator**: ...
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