Here's a step-by-step solution to your chemistry problem.
First, let's clarify the given atomic masses. We are given Na=23, H=1, and O=b. Assuming 'b' is a handwritten '16', we will use O=16.
Given information:
- Average volume of A (H2X) used (VA) = 26.50cm3
- Equation: 2NaOH+H2X→Na2X+2H2O
- Mass concentration of H2X (acid A) = 4.9g/dm3
- Solution B (NaOH) contains 2 g of NaOH per 500cm3
- Volume of B (NaOH) used (VB) = 25cm3
- Atomic masses: Na=23, H=1, O=16 (assumed)
Step 1: Calculate the molar concentration of NaOH (solution B).
First, find the molar mass of NaOH:
M(NaOH)=Na+O+H=23+16+1=40 g/mol
Next, calculate the mass of NaOH in 1dm3:
MassconcentrationofNaOH=500cm32g×1dm31000cm3=4g/dm3
Now, calculate the molar concentration of NaOH (CB):
CB=MolarmassMassconcentration=40g/mol4g/dm3=0.1mol/dm3
Step 2: Calculate the molar concentration of H2X (solution A).
From the balanced chemical equation, the mole ratio of H2X to NaOH is 1:2. So, nA=1 and nB=2.
We use the titration formula:
nACAVA=nBCBVB
Rearrange to solve for CA:
CA=VAnBCBVBnA
Substitute the known values:
CA=(26.50cm3)×2(0.1mol/dm3)×(25cm3)×1
CA=532.5=1065mol/dm3
CA≈0.0471698mol/dm3
Rounding to four significant figures:
i) The Concentration of A in mol/dm3
C_A = 0.04717 \text{ mol/dm^3}
Step 3: Calculate the molar mass of H2X.
We are given the mass concentration of H2X as 4.9g/dm3. We calculated its molar concentration (CA) in Step 2.
MolarmassofH2X=MolarconcentrationMassconcentration
MolarmassofH2X=5/106mol/dm34.9g/dm3
MolarmassofH2X=54.9×106=5519.4=103.88g/mol
Rounding to four significant figures:
ii) The molar mass of H2X
MolarmassofH2X=103.9 g/mol
Step 4: Calculate the atomic mass of X.
The molar mass of H2X is the sum of the atomic masses of its constituent atoms:
MolarmassofH2X=(2×AtomicmassofH)+AtomicmassofX
103.88g/mol=(2×1g/mol)+AtomicmassofX
AtomicmassofX=103.88−2=101.88g/mol
Rounding to four significant figures:
iii) The atomic mass of X
AtomicmassofX=101.9 g/mol
Step 5: Calculate the percentage of X in H2X.
PercentageofX=MolarmassofH2XAtomicmassofX×100%
PercentageofX=103.88g/mol101.88g/mol×100%
PercentageofX≈0.980747×100%
Rounding to four significant figures:
iv) The percentage of X in H2X
PercentageofX=98.07%
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