If the conductivity of mercury at 0°C is 1.07 × 10⁶ S m^-1 and the resistance of a cell containing mercury is 0.243 $Ω,$ then the cell constant of the cell is x × 10⁴ m^-1. The value of x is______.

(Nearest integer)

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Answered by

alok kumar singh | Contributor-Level 10

2 months ago

Conductivity; $κ = 1.07 \times 1 0^{6} S m^{- 1}$

Resistance ; R = 0.243 $Ω$

cell constant ; G^* =?

Using ;

$κ = \frac{G^{*}}{R}$

$G * = κ \times R$

$= 1.07 \times 1 0^{6} \times 0.243 m^{- 1}$

$= 26 \times 1 0^{4} m^{- 1}$

Conductivity; <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1816073573"> </o:OLEObject></xml><! [endif]->  <math> <mrow> <mi>κ</mi> <mo>=</mo> <mn>1</mn> <mo>.</mo> <mn>0</mn> <mn>7</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>6</mn> </mrow> </msup> <mi>S</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math> Resistance ; R = 0.243 <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1816073574"> </o:OLEObject></xml><! [endif]->  <math> <mrow> <mi>Ω</mi> </mrow> </math> cell constant ; G* =? Using ; <math> <mrow> <mi>κ</mi> <mo>=</mo> <mfrac> <mrow> <msup> <mrow> <mi>G</mi> </mrow> <mrow> <mo>*</mo> </mrow> </msup> </mrow> <mrow> <mi>R</mi> </mrow> </mfrac> </mrow> </math>    <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1816073575"> </o:OLEObject></xml><! [endif]->  <math> <mrow> <mi>G</mi> <mo>*</mo> <mo>=</mo> <mi>κ</mi> <mo>×</mo> <mi>R</mi> </mrow> </math>         <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1816073576"> </o:OLEObject></xml><! [endif]->  <math> <mrow> <mo>=</mo> <mn>1</mn> <mo>.</mo> <mn>0</mn> <mn>7</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>6</mn> </mrow> </msup> <mo>×</mo> <mn>0</mn> <mo>.</mo> <mn>2</mn> <mn>4</mn> <mn>3</mn> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>              <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1816073577"> </o:OLEObject></xml><! [endif]->  <math> <mrow> <mo>=</mo> <mn>2</mn> <mn>6</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>4</mn> </mrow> </msup> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math>             <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1030" DrawAspect="Content" ObjectID="_1816073578"> </o:OLEObject></xml><! [endif]->

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If the conductivity of mercury at 0°C is 1.07 × 10⁶ S m^-1 and the resistance of a cell containing mercury is 0.243 $Ω,$ then the cell constant of the cell is x × 10⁴ m^-1. The value of x is______.

(Nearest integer)

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If the conductivity of mercury at 0°C is 1.07 × 106 S m-1 and the resistance of a cell containing mercury is 0.243 Ω , then the cell constant of the cell is x × 104 m-1. The value of x is______. (Nearest integer)

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If the conductivity of mercury at 0°C is 1.07 × 10⁶ S m^-1 and the resistance of a cell containing mercury is 0.243 $Ω,$ then the cell constant of the cell is x × 10⁴ m^-1. The value of x is______.

(Nearest integer)