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271. The conductivity of 0.1 M KCl solution at 298 K is 0.0129 s cm^–1. The resistance of this solution in a conductivity cell is found to be 58 ohms. What is the cell constant of the cell? The 0.1 M AgNO₃ solution at 298 K in the same conductivity cell offered a resistance of 60.5 ohms. What is the conductivity of 0.1 M AgNO₃ solution?

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272. Resistance of a conductivity cell filled with 0.1 M KCl solution is 100 £2. If the resistance of the same cell when filled with 0.02 M KCl solution is 520 Ω. Calculate the conductivity and molar conductivity of 0.02 M KC1 solution. The conductivity of 0.1 M KCl at 298 K is 0.0129 s cm^–1.

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273. The electrical resistance of a column of 0.05 M NaOH solution of diameter 1 cm and length 50 cm is 5.55 x 10³ ohm. Calculate its resistivity, conductivity and molar conductivity.

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274. 250 cm³ solution containing 1 g of Ca(NO₃)₂ in conductivity cell offered a resistance of 48 ohms. The cell constant of conductivity of the solution is 0.56 cm^-1. Find the molar conductivity.

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275. The conductivity of 0.00241 M acetic acid is 7.896 x 10^–5 s cm^–1. Calculate its molar conductivity and if Λ°_m for acetic acid is 390.5 s cm² mol^–1, what is its dissociation constant?

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276. Λ°_m for NaCl, HCl and CH₃COONa are 126.4, 425.9 and 91.0 s cm² mol^–1respectively. Calculate Λ° for HAC.

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277. The specific conductance of a saturated solution of AgCl in water is 1.826 x 10^–6ohm^–1cm^–1 at 25°C. Calculate its solubility in water at 25°C. [Given Λ^∞_m (Ag⁺) = 61.92 ohm^–1 cm² mol^–1and Λ^∞_m (CI^– ) = 76.34 ohm^–1 cm² mol^–1]

Λ^∞_m (AgCl) = λ^∞_m_m (Ag⁺) + λ^∞_m (Cl^–)

= 61.92 {ohm}^{- 1} {cm}^{2} {mol}^{- 1} + 76.34 {ohm}^{- 1} {cm}^{2} {mol}^{- 1} = 138.26 {ohm}^{- 1} {cm}^{2} {mol}^{- 1}

K = 1.826 \times 10^{6} {ohm}^{- 1} {cm}^{2}

Solubility (in mol L^-1) =

\frac{K \times 1000 {cm}^{3} L^{- 1}}{A_{m}^{\infty}}

= \frac{(1.826 \times 10^{- 6} {ohm}^{- 1}) \times (1000 {cm}^{3} L^{- 1})}{(138.26 {ohm}^{- 1} {cm}^{2} {mol}^{- 1})} = 1.32 \times 10^{- 5} mol L^{- 1} .

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278. Calculate the molar conductance at infinite dilution of ethanoic acid from the following data:
Λ°_m (HCl) = 425.9 s cm² mol^–1Λ°_m (CH₃COONa) = 91.0s cm² mol^–1Λ°_m (NaCl) = 126.4 s cm² mol^–1

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