Match List-I with List-II.

List – I                                                                              List – II

(Parameter)                                                                    (Unit)

(A) Cell constant                                                           (i) S cm² mol^-1

(B) Molar conductivity                                                 (ii) Dimensionless

(C) Conductivity                                                            (iii) m^-1

(D) Degree of dissociation of electrolyte (iv) Ω^{-1 m-1}

Choose the most appropriate answer from the options given below:

Option 1 -

(A)-(iii), (B)-(i), (C)-(ii), (D)-(iv)

Option 2 -

(A)-(ii), (B)-(i), (C)-(iii), (D)-(iv)

Option 3 -

(A)-(iii), (B)-(i), (C)-(iv),(D)-(ii)

Option 4 -

(A)-(i), (B)-(iv), (C)-(iii), (D)-(ii)

2 Views | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

2 months ago

Correct Option - 3

Detailed Solution:

(a) Cell constant = $(\frac{l}{A}) = m / m^{2} = m^{- 1}$

(b) molar conductivity $(λ_{m}) = \frac{κ \times 1000}{m o l a r i t y}$

= Scm² mol^-1

$= Ω^{- 1} m^{- 1}$

(d) degree of dissociation = $\frac{n u m b e r o f m o l e d i s s o c i a t e d}{T o t a l m o l e}$ , it is dimensionless

(a) Cell constant = <math> <mrow> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mi mathvariant="script">l</mi> </mrow> <mrow> <mi>A</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mi>m</mi> <mo>/</mo> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>=</mo> <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_i1025" DrawAspect="Content" ObjectID="_1816070860"> </o:OLEObject></xml><! [endif]-> (b) molar conductivity <math> <mrow> <mrow> <mo> (</mo> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>κ</mi> <mo>×</mo> <mn>1</mn> <mn>0</mn> <mn>0</mn> <mn>0</mn> </mrow> <mrow> <mi>m</mi> <mi>o</mi> <mi>l</mi> <mi>a</mi> <mi>r</mi> <mi>i</mi> <mi>t</mi> <mi>y</mi> </mrow> </mfrac> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1816070861"> </o:OLEObject></xml><! [endif]->= Scm2 mol-1 (c) Conductivity <math> <mrow> <mrow> <mo> (</mo> <mrow> <mi>κ</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mi>ρ</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi mathvariant="script">l</mi> </mrow> <mrow> <mi>R</mi> <mi>A</mi> </mrow> </mfrac> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1816070862"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mo>=</mo> <msup> <mrow> <mi>Ω</mi> </mrow> <mrow> <mo>−</mo> <mn>1</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_i1028" DrawAspect="Content" ObjectID="_1816070863"> </o:OLEObject></xml><! [endif]-> (d) degree of dissociation = <math> <mrow> <mfrac> <mrow> <mi>n</mi> <mi>u</mi> <mi>m</mi> <mi>b</mi> <mi>e</mi> <mi>r</mi> <mtext> </mtext> <mtext> </mtext> <mi>o</mi> <mi>f</mi> <mtext> </mtext> <mtext> </mtext> <mi>m</mi> <mi>o</mi> <mi>l</mi> <mi>e</mi> <mtext> </mtext> <mtext> </mtext> <mi>d</mi> <mi>i</mi> <mi>s</mi> <mi>s</mi> <mi>o</mi> <mi>c</mi> <mi>i</mi> <mi>a</mi> <mi>t</mi> <mi>e</mi> <mi>d</mi> </mrow> <mrow> <mi>T</mi> <mi>o</mi> <mi>t</mi> <mi>a</mi> <mi>l</mi> <mtext> </mtext> <mtext> </mtext> <mi>m</mi> <mi>o</mi> <mi>l</mi> <mi>e</mi> </mrow> </mfrac> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1816070864"> </o:OLEObject></xml><! [endif]->, it is dimensionless

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Match List-I with List-II. List – I List – II (Parameter) (Unit) (A) Cell constant (i) S cm2 mol-1 (B) Molar conductivity (ii) Dimensionless (C) Conductivity (iii) m-1 (D) Degree of dissociation of electrolyte (iv) Ω-1 m-1 Choose the most appropriate answer from the options given below: