The resistance of a conductivity cell with cell constant 1.14 cm-1, containing 0.001 M KCl at 298K is 1500 <math> <mrow> <mi>Ω</mi> <mo>.</mo> </mrow> </math> The molar conductivity of 0.001 M KCl solution at 298 K in S cm2 mol-1 is__________. (Integer answer)

<!- [if gte mso 9]><xml> </xml><! [endif]-> κ = 1 R × l A = [ ( 1 1 5 0 0 ) × 1 . 1 4 ] S c m − 1 = 1 . 1 4 1 5 0 0 S c m − 1 λ m = κ M × 1 0 0 0 S c m 2 m o l − 1 λ m = 1 0 0 0 × ( 1 . 1 4 1 5 0 0 ) 0 . 0 0 1 S c m 2 m o l − 1 = 7 6 0 S c m 2 m o l − 1

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Chemistry Class 11th Chemistry Chemical Bonding and Molecular Structure

The resistance of a conductivity cell with cell constant 1.14 cm^-1, containing 0.001 M KCl at 298K is 1500 $Ω .$ The molar conductivity of 0.001 M KCl solution at 298 K in S cm² mol^-1 is__________. (Integer answer)

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alok kumar singh | Contributor-Level 10

2 months ago

$κ = \frac{1}{R} \times \frac{l}{A} = [(\frac{1}{1500}) \times 1.14] S c m^{- 1} = \frac{1.14}{1500} S c m^{- 1}$

$λ_{m} = \frac{κ}{M} \times 1000 S c m^{2} m o l^{- 1}$

$λ_{m} = 1000 \times \frac{(\frac{1.14}{1500})}{0.001} S c m^{2} m o l^{- 1} = 760 S c m^{2} m o l^{- 1}$

<!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1815920827"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mi>κ</mi> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mi>R</mi> </mrow> </mfrac> <mo>×</mo> <mfrac> <mrow> <mi mathvariant="script">l</mi> </mrow> <mrow> <mi>A</mi> </mrow> </mfrac> <mo>=</mo> <mrow> <mo> [</mo> <mrow> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>1</mn> <mn>5</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>×</mo> <mn>1</mn> <mo>.</mo> <mn>1</mn> <mn>4</mn> </mrow> <mo>]</mo> </mrow> <mi>S</mi> <mtext> </mtext> <mtext> </mtext> <mi>c</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> <mo>.</mo> <mn>1</mn> <mn>4</mn> </mrow> <mrow> <mn>1</mn> <mn>5</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> <mi>S</mi> <mi>c</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math> <math> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mi>κ</mi> </mrow> <mrow> <mi>M</mi> </mrow> </mfrac> <mo>×</mo> <mn>1</mn> <mn>0</mn> <mn>0</mn> <mn>0</mn> <mi>S</mi> <mi>c</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mi>m</mi> <mi>o</mi> <msup> <mrow> <mi>l</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math> <math> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mn>0</mn> <mn>0</mn> <mn>0</mn> <mo>×</mo> <mfrac> <mrow> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mn>1</mn> <mo>.</mo> <mn>1</mn> <mn>4</mn> </mrow> <mrow> <mn>1</mn> <mn>5</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>0</mn> <mo>.</mo> <mn>0</mn> <mn>0</mn> <mn>1</mn> </mrow> </mfrac> <mi>S</mi> <mi>c</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mi>m</mi> <mi>o</mi> <msup> <mrow> <mi>l</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mn>7</mn> <mn>6</mn> <mn>0</mn> <mi>S</mi> <mi>c</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mi>m</mi> <mi>o</mi> <msup> <mrow> <mi>l</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>

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The resistance of a conductivity cell with cell constant 1.14 cm^-1, containing 0.001 M KCl at 298K is 1500 $Ω .$ The molar conductivity of 0.001 M KCl solution at 298 K in S cm² mol^-1 is__________. (Integer answer)

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The resistance of a conductivity cell with cell constant 1.14 cm-1, containing 0.001 M KCl at 298K is 1500 Ω . The molar conductivity of 0.001 M KCl solution at 298 K in S cm2 mol-1 is__________. (Integer answer)

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The resistance of a conductivity cell with cell constant 1.14 cm^-1, containing 0.001 M KCl at 298K is 1500 $Ω .$ The molar conductivity of 0.001 M KCl solution at 298 K in S cm² mol^-1 is__________. (Integer answer)