Respuesta :
The salt is calcium hydroxide.
Let the cation be X. Since it is a group II cation hydroxide salt, it would be X(OH)₂.
So, the balanced chemical reaction of the reaction with hydrochloric acid is
X(OH)₂ + 2HCl → XCl₂ + 2H₂O
Now using the equation
CV/C'V' = n/n' where C = concentration of acid = 0.50 M = 0.50 mol/L, V = volume of acid = 232 mL = 0.232 L, C' = concentartion of hydroxide salt, V = volume of hydroxide salt = 50.0 mL = 0.050 L, n = number of moles of acid = 2 and n' = number of moles of hydroxide salt = 1
Making C' subject of the formula, we have
C' = n'CV/nV'
Substituting the values of the variables into the equation, we have
C' = n'CV/nV'
C' = 1 × 0.50 mol/L × 0.232 L/(2 × 0.050 L)
C' = 1 × 0.50 mol/L × 0.232 L/0.1 L
C' = 1 × 0.50 mol/L × 2.32
C' = 1.16 mol/L
Now, we need to find the number of moles of hydroxide salt present.
So, number of moles, n = C'V'
n = 1.16 mol/L × 0.050 L
n = 0.058 mol
Also, the number of moles n = m/M where m = mass of hydroxide salt = 4.30 g and M = molar mass of hydroxide salt.
Making M subject of the formula, we have
M = m/n
Substituting the values of the variables into the equation, we have
M = 4.30 g/0.058 mol
M = 74.1379 g/mol
M ≅ 74.14 g/mol
Since the hydroxide salt is X(OH)₂, its molar mass, M is
M = molar mass of X + 2 × molar mass of O + 2 × molar mass of H
M = x + 2 × 16 g/mol + 2 × 1 g/mol
M = x + 32 g/mol + 2 g/mol
M = x + 34 g/mol
x = M - 34 g/mol
x = 74.14 g/mol - 34 g/mol
x = 40.14 g/mol
Since x = 40.14 g/mol which is close to the molar mass of calcium, X is calcium.
So, X(OH)₂ = Ca(OH)₂
So, the salt is calcium hydroxide.
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