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Q.
What mass of 95% pure CaCO3 will be required to neutralise 50 mL of 0.5 M HCl solution according to the following reaction?
CaCO3(s)+2HCl(aq)→CaCl2(aq)+CO2(g)+2H2O(1)
[Calculate up to second place of decimal point]
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a
9.50 g
b
1.25 g
c
3.65 g
d
1.32 g
answer is A.
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Detailed Solution
1.32 g
To determine the mass of 95% pure CaCO3 required to neutralize 50 mL of 0.5 M HCl solution, we will follow a step-by-step calculation based on the given balanced chemical equation:
Balanced chemical equation:
CaCO3(s) + 2HCl(aq) → CaCl2(aq) + CO2(g) + 2H2O(l)
The first step is to calculate the number of moles of HCl in the given solution. We know that:
- Volume of HCl solution = 50 mL = 0.050 L
- Concentration of HCl = 0.5 M
Number of moles of HCl = Concentration × Volume = 0.5 M × 0.050 L = 0.025 moles.
According to the balanced chemical equation, 2 moles of HCl neutralize 1 mole of CaCO3. So, the moles of CaCO3 required will be:
Moles of CaCO3 = (0.025 moles of HCl) × (1 mole of CaCO3 / 2 moles of HCl) = 0.0125 moles.
Now, we calculate the mass of CaCO3 required. The molar mass of CaCO3 is approximately 100 g/mol. Therefore, the mass of 100% pure CaCO3 required will be:
Mass of CaCO3 = Moles × Molar Mass = 0.0125 moles × 100 g/mol = 1.25 g.
Since the CaCO3 available is only 95% pure, we need to adjust the mass calculation for the purity. The mass of 95% pure CaCO3 required is:
Mass of 95% pure CaCO3 = 1.25 g / 0.95 = 1.32 g.
Therefore, the correct answer is: 1.32 g
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