calculate the molarity of 28% w/w H2SO4 solution. density of H2SO4 solution is 1.202gm/ml.
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Given: the weight-to-weight % of H₂SO₄, w/w = 28%
the density of H₂SO₄, d = 1.202 g/ml
To Find: the molarity of H₂SO₄, - M =?
Solution:
Formula used:
- Density = mass(m)/volume(V)
- Molarity = moles of solute/Volume of Solution in liter
- Number of Moles - n= Given mass(m)/Molecular mass (M')
- 28% w/w solution implies 28g H₂SO₄ in 100g solution
Applying the above formula to calculate the volume of Solution:-
d = m/V
V = m/d
V = 100/1.202
V = 83.3ml
V = 83.3/1000
V= 0.083L
Applying the above formula to calculate the moles of H₂SO₄:-
n = m/M'
n = 28/98 (M' of H₂SO₄ = 98g)
n = 0.29 moles
Applying the above formula to calculate the Molarity of Solution:-
M = n/V
M = 0.29/0.083
M = 3.5 M
Hence, the molarity of H₂SO₄ is 3.5 M.
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