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1.
Step 1: Calculate the molar mass of HCl.
Molar mass of HCl=AtomicmassofH+Atomic mass of Cl
=1.008g/mol+35.45g/mol=36.458g/mol
Step 2: Calculate the moles of HCl.
Moles of HCl=MolarmassofHClMassofHCl=36.458g/mol1.25g=0.03428 mol
Step 3: Convert the volume of the solution from cm³ to dm³.
Volume of solution=30cm3×1000cm31dm3=0.030dm3
Step 4: Calculate the molarity of the solution.
Molarity=Volumeofsolution(indm3)Molesofsolute=0.030dm30.03428mol=1.14mol/dm3
The molarity of the solution is 1.14M.
2.
Step 1: Calculate the molar mass of KCl.
Molar mass of KCl=AtomicmassofK+Atomic mass of Cl
=39.098g/mol+35.45g/mol=74.548g/mol
Step 2: Calculate the moles of KCl.
Moles of KCl=MolarmassofKClMassofKCl=74.548g/mol2.5g=0.03353 mol
Step 3: Convert the volume of the solution from cm³ to dm³.
Volume of solution=100cm3×1000cm31dm3=0.100dm3
Step 4: Calculate the concentration of the solution in mol/dm³.
Concentration=Volumeofsolution(indm3)Molesofsolute=0.100dm30.03353mol=0.335mol/dm3
The concentration of the solution is 0.335mol/dm3.
3.
Step 1: Calculate the molar mass of NaOH.
Molar mass of NaOH=AtomicmassofNa+AtomicmassofO+Atomic mass of H
=22.99g/mol+15.999g/mol+1.008g/mol=39.997g/mol
Step 2: Calculate the moles of NaOH present in 1 dm³ of a 0.25 M solution.
Moles of NaOH=Molarity×Volume=0.25mol/dm3×1dm3=0.25 mol
Step 3: Calculate the mass of NaOH.
Mass of NaOH=MolesofNaOH×Molar mass of NaOH
=0.25mol×39.997g/mol=9.999g
The mass of NaOH present per dm³ of solution is 10.0g.
4.
Step 1: Use the neutralization formula MAVA=MBVB.
Given:
Molarity of acid (MA) = 0.5 M
Volume of acid (VA) = ?
Molarity of base (MB) = 4 M
Volume of base (VB) = 200 ml
Step 2: Substitute the values into the formula and solve for VA.
0.5M×VA=4M×200 ml
VA=0.5M4M×200ml
VA=0.5800ml
VA=1600 ml
The volume of 0.5 M acid needed is 1600ml.
5.
Step 1: Convert the mass of calcium from mg to g.
Mass of calcium=28mg×1000mg1g=0.028 g
Step 2: Convert the volume of the solution from cm³ to dm³.
Volume of solution=100cm3×1000cm31dm3=0.100dm3
Step 3: Calculate the concentration in g/dm³.
Concentration=Volumeofsolution(indm3)Massofcalcium=0.100dm30.028g=0.28g/dm3
The concentration is 0.28g/dm3.
6.
Step 1: Calculate the total volume of the solution.
Total volume of solution=Volumeofalcohol+Volume of water
=20cm3+80cm3=100cm3
Step 2: Calculate the concentration (v/v).
Concentration (v/v)=TotalvolumeofsolutionVolumeofsolute×100%
=100cm320cm3×100%=20%
The concentration (v/v) of this solution is 20%.
7.
Step 1: Convert the volume of the solution from cm³ to dm³.
Volume of solution=400cm3×1000cm31dm3=0.400dm3
Step 2: Calculate the moles of NaOH required.
Moles of NaOH=Molarity×Volume(indm3)
=0.3mol/dm3×0.400dm3=0.12mol
Step 3: Calculate the molar mass of NaOH.
Molar mass of NaOH=AtomicmassofNa+AtomicmassofO+Atomic mass of H
=22.99g/mol+15.999g/mol+1.008g/mol=39.997g/mol
Step 4: Calculate the mass of NaOH required.
Mass of NaOH=MolesofNaOH×Molar mass of NaOH
=0.12mol×39.997g/mol=4.79964g
The mass of sodium hydroxide required is 4.80g.
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