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Step 1: Calculate the molar mass of sodium hydroxide (NaOH).
Molar mass of NaOH=AtomicmassofNa+AtomicmassofO+Atomic mass of H
Molar mass of NaOH=23.0+16.0+1.0=40.0 g/mol
Step 2: Calculate the concentration of NaOH in mol/L.
The concentration is given as 8 g per litre.
Concentration of NaOH (mol/L)=MolarmassofNaOHMassofNaOHperlitre
Concentration of NaOH (mol/L)=40.0g/mol8g/L=0.2 mol/L
Step 3: Calculate the moles of NaOH used.
The volume of NaOH solution used is 25cm3, which is 0.025 L.
Moles of NaOH=Concentration×Volume (in L)
Moles of NaOH=0.2mol/L×0.025 L
Moles of NaOH=0.005 mol
Step 4: Determine the moles of the dibasic acid.
A dibasic acid reacts with NaOH in a 1:2 molar ratio. Let the dibasic acid be H2A.
The neutralization reaction is:
H2A+2NaOH→Na2A+2H2O
From the equation, 1 mole of dibasic acid reacts with 2 moles of NaOH.
Moles of acid=MolesofNaOH×2molNaOH1molacid
Moles of acid=0.005mol×21
Moles of acid=0.0025 mol
Step 5: Calculate the relative molecular mass of the acid.
The mass of the acid is 0.245 g.
Relative molecular mass=MolesofacidMassofacid
Relative molecular mass=0.0025mol0.245g
Relative molecular mass=98 g/mol
The relative molecular mass of the acid is 98.
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