Given: Mass of acid = 1.6 g
Molarity of NaOH = 0.35 M
Volume of NaOH = 50.80 ml or (50.80/1000) L
Molar mass of Acid = ?
At the equivalence point,
No of moles of Acid (HA) = No of moles of Base (NaOH)
As Molarity = No of moles/Volume in litres
So, No of moles = Molarity * Volume (in litres)
=> M * V (acid, HA) = M* V (base, NaOH)
or, No of moles of acid = M (NaOH) * V (NaOH)
As No of moles = Mass/Molar mass
=> Mass of acid/Molar Mass of acid = M (NaOH) * V (NaOH)
=> Molar mass of acid = Mass of acid/ [ M(NaOH) * V (NaOH) ]
Putting the values, we get
Molar mass of acid = 1.6g * 1000 / [ 0.35M* 50.80 L)
Molar mass of acid = 89.99 g/mol
So, Molar mass of Acid = 89.99
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