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12.5 gm of fuming H2SO4 (labelled as 112%) is mixed with 100 lit water. Molar concentration of H+ in resultant solution is :
[Note : Assume that H2SO4 dissociate completely and there is no change in volume on mixing]
  • a)
    2/700
  • b)
    2/350
  • c)
    3/350
  • d)
    3/700
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
12.5 gm of fuming H2SO4(labelled as 112%) is mixed with 100 lit water....
The correct answer is Option A.
Given :
mass = 12.5 gm
% of H2SO4 = 112 %  
= 112 /100

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12.5 gm of fuming H2SO4(labelled as 112%) is mixed with 100 lit water....
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Community Answer
12.5 gm of fuming H2SO4(labelled as 112%) is mixed with 100 lit water....
Given:
Mass of fuming H2SO4 = 12.5 g
Concentration of fuming H2SO4 = 112%
Volume of water = 100 L

To find: Molar concentration of H in the resultant solution

Solution:

1. Calculate the number of moles of H2SO4 in the given mass:

Molar mass of H2SO4 = 2(1.008) + 32.06 + 4(16.00) = 98.08 g/mol

Number of moles of H2SO4 = (12.5 g) / (98.08 g/mol) = 0.1274 mol

2. Calculate the number of moles of H in the given mass of H2SO4:

Number of moles of H = 2 × 0.1274 mol = 0.2548 mol

3. Calculate the total number of moles of solute (H2SO4 and H) in the solution:

Total number of moles of solute = 0.1274 mol (from H2SO4) + 0.2548 mol (from H) = 0.3822 mol

4. Calculate the molarity of the solution:

Molarity = (Total number of moles of solute) / (Volume of solution in L)

Volume of solution = Volume of water = 100 L

Molarity = 0.3822 mol / 100 L = 0.003822 M

5. Calculate the molar concentration of H in the solution:

Molar concentration of H = (Number of moles of H) / (Volume of solution in L)

Molar concentration of H = 0.2548 mol / 100 L = 0.002548 M

Answer: The molar concentration of H in the resultant solution is 0.002548 M, which is approximately equal to 2/700. Therefore, the correct option is (a) 2/700.
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12.5 gm of fuming H2SO4(labelled as 112%) is mixed with 100 lit water. Molar concentration of H+ in resultant solution is :[Note : Assume that H2SO4dissociate completely and there is no change in volume on mixing]a)2/700b)2/350c)3/350d)3/700Correct answer is option 'A'. Can you explain this answer?
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