The ionization constant of propanoic acid is 1.32 × 10–5. Determine
Solution to Question 1571
Complete workingFor propanoic acid alone use x≈√(KaC). In 0.010 M HCl, common H⁺ suppresses dissociation and α≈Ka/[H⁺].
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The ionization constant of propanoic acid is 1.32 × 10–5. Determine
For propanoic acid alone use x≈√(KaC). In 0.010 M HCl, common H⁺ suppresses dissociation and α≈Ka/[H⁺].
The hydrogen electron in the first Bohr orbit moves at 2.19 × 10⁶ \(\mathrm{m\,s}\)⁻¹. Calculate its de Broglie wavelength.
Apply λ=h/(mₑv).
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Name the inner functions, differentiate each factor, and then simplify.
Substitution into the original expression verifies the stated domain and final value.
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The last line satisfies the original conditions and supplies every requested part.
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Translate the conditions into a sequence equation, then retain every admissible real solution.
The final value satisfies the original recurrence, sum, product or financial condition.
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The last line satisfies the required domain and establishes the result.
The pH of 0.1M solution of cyanic acid (HCNO) is 2.34. Determine
The pH gives x=[H⁺]. Substitute it in Ka=x²/(C−x), and calculate α=\(\frac{x}{C}\).
A \(0.100\,\mathrm{kg}\) hockey ball moves at 4.37 × 10⁵ \(\mathrm{m\,s}\)⁻¹, the speed given for a proton accelerated through 1000 V. Calculate the ball's de Broglie wavelength.
Use the macroscopic mass in λ=h/(mv).
Differentiate (secx−1)/(secx+1).
Name the inner functions, differentiate each factor, and then simplify.
Substitution into the original expression verifies the stated domain and final value.