Verified Solution • 2025–26 Session
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QNEET-2024-Ch-43: NEET 2024 Chemistry - Class 11 NEET-2024-Ch-43 Solution: 1 gram of sodium hydroxide was treated with 25 mL of 0.75 M HCl …
1 gram of sodium hydroxide was treated with 25 mL of 0.75 M HCl solution the mass of sodium hydroxide left unreacted is equal to 750 mg 250 mg Zero mg 200 mg
Multiple Choice Options
- A 750 mg
- B 250 mg
- C Zero mg
- D 200 mg
Step-by-Step Verified Solution
To find the mass of sodium hydroxide (NaOH) left unreacted, we first need to determine the moles of NaOH and HCl originally present and compare them to see which one is in excess.
The molar mass of NaOH is approximately 40 g/mol , so the number of moles of NaOH in 1 gram can be calculated as follows:
Moles of NaOH = Mass of NaOH Molar mass of NaOH = 1 g 40 g/mol = 0.025 moles
Next, we calculate the number of moles of HCl using its concentration and the volume of the solution. Recall that concentration (Molarity, M) is defined as moles of solute per liter of solution. Given that the concentration of HCl is 0.75 M and the volume of the solution is 25 mL or 0.025 L , we can find the moles of HCl:
Moles of HCl = Concentration _ Volume in liters = 0.75 M _ 0.025 L = 0.01875 moles
Now, we compare the moles of NaOH and HCl. The stoichiometry of the reaction between NaOH and HCl is:
NaOH + HCl _ NaCl + H 2 O
Each mole of NaOH reacts with one mole of HCl. Given that there are more moles of NaOH (0.025 moles) than HCl (0.01875 moles), HCl is the limiting reactant and will be completely consumed. The excess NaOH can be calculated:
Excess moles of NaOH = Moles of NaOH _ Moles of HCl = 0.025 moles _ 0.01875 moles = 0.00625 moles
To find the mass of the unreacted NaOH:
Mass of unreacted NaOH = Moles of unreacted NaOH _ Molar mass of NaOH = 0.00625 moles _ 40 g/mol = 0.25 g = 250 mg
Therefore, the mass of sodium hydroxide left unreacted is 250 mg , which corresponds to Option B.