Based on the mole ratio of the reaction, the alkalinity of the exhibit is 0.02 mg/L of CaCO3.
Alkalinity is a measure of the hydroxide ion concentration of a solution.
From the equation of the reaction, the mole ratio is 1 :1.
1 mole of the sample reacts with 1 mole of acid.
Moles of titrant = 1.58 mL × 0.019 M = 0.003 mmoles
Moles of samples = 0.003 mmoles
The concentration of sample = 0.003 mmol/15 mL = 0.0002 M
mass concentration = 0.0002 M × 100.0869 g/mol
mass concentration = 0.02 g/mL
Converting to mg/L:
0.02 g/mL × 1000 mg/1000 L = 0.02 mg/L
Therefore, the alkalinity of the exhibit is 0.02 mg/L of CaCO3.
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