120 mL of 0.1 M H2SO4 solution is mixed with W 180 mL of 0.1 M NaOH so...
Molarity = no of moles of solute[H+]/ volume of solution
No of moles of [H+] for HCl = 0.3*0.1 = 0.03
No of moles of [H+] for H2SO4 = 0.2*2*0.3 = 0.12 (since there are two moles of H+ in a mole H2SO4
Total no of moles of [H+] = 0.15
Total volume of solution = 300ml = 0.3L
Thus Molarity = 0.15/0.3 = 0.5moles/L
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120 mL of 0.1 M H2SO4 solution is mixed with W 180 mL of 0.1 M NaOH so...
Calculation:
Given:
Volume of H2SO4 solution (V1) = 120 mL
Concentration of H2SO4 solution (C1) = 0.1 M
Volume of NaOH solution (V2) = 180 mL
Concentration of NaOH solution (C2) = 0.1 M
We need to find the concentration of H+ ion in the final solution.
Step 1: Determine the moles of H2SO4 and NaOH
Number of moles of H2SO4 (n1) = volume (V1) x concentration (C1)
= 0.120 L x 0.1 M
= 0.012 moles
Number of moles of NaOH (n2) = volume (V2) x concentration (C2)
= 0.180 L x 0.1 M
= 0.018 moles
Step 2: Identify the limiting reagent
To determine the limiting reagent, we compare the moles of H2SO4 and NaOH. The reactant with fewer moles will be the limiting reagent.
In this case, H2SO4 has 0.012 moles and NaOH has 0.018 moles. Therefore, H2SO4 is the limiting reagent.
Step 3: Determine the moles of H+ ion
H2SO4 dissociates into 2 H+ ions and 1 SO4^2- ion.
Therefore, the number of moles of H+ ions produced from H2SO4 = 2 x 0.012 = 0.024 moles
Step 4: Determine the volume of the final solution
The final volume of the solution is the sum of the volumes of H2SO4 and NaOH solutions.
Final volume (Vf) = V1 + V2
= 0.120 L + 0.180 L
= 0.300 L
Step 5: Calculate the concentration of H+ ion in the final solution
Concentration of H+ ion (Cf) = moles of H+ ion (0.024) / Final volume (0.300 L)
= 0.08 M
Therefore, the concentration of H+ ion in the final solution is 0.08 M.
Explanation:
- The given problem involves the mixing of H2SO4 and NaOH solutions.
- The number of moles of H2SO4 and NaOH is determined using the formula: moles = volume x concentration.
- The limiting reagent is identified by comparing the moles of H2SO4 and NaOH. In this case, H2SO4 is the limiting reagent as it has fewer moles.
- The number of moles of H+ ions produced from H2SO4 is calculated by considering its dissociation.
- The final volume of the solution is determined by adding the volumes of H2SO4 and NaOH solutions.
- Finally, the concentration of H+ ion in the final solution is calculated by dividing the moles of H+ ions by the final volume of the solution.
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