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The elctrical resistance of a column of ...

The elctrical resistance of a column of `0.05 M N aOH ` solution of diameter `1 cm` and length `50 cm` is `5.55 xx 10^(3)ohm`. Calculate its resisteivity , conductivity, and molar conductivity.

Text Solution

Verified by Experts

Area of cross-section `=pir^(2)=3.14xx(0.5)^(2)cm^(2)=0.785cm^(2)`
We know, `R=rhoxx(1)/(A),5.55xx10^(3)=rhoxx(50)/(0.785)`
`"Resistivity",rho=87.135"ohm cm"`
`"Conductivity k"=(1)/(rho)=(1)/(87.135)-0.01148"S cm"^(-1)`
Molar conductivity `Lambda_(m)` can be calculated as,
`Lambda_(m)=kxx(1000)/(M)=0.01148xx(1000)/(0.05)`
`=229.6"S cm"^(2)"mol"^(-1)`
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Knowledge Check

  • The electrical resistance of a column of 0.04M NaOH solution of diameter 1.2 cm and length 50cm is 5.55xx10^(3)ohm , the resistivity of the column would be

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    B
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  • The questions consist of two atatements each, printed as Assertion and Reason. While answering these questions you are required to choose any one of the following four responses : The electrical resistance of a column of 0.5 M NaOH solution of diameter 1 cm and length 50 cm is 5.55 xx 10^3 "ohm" . Its resistivity is equal to 75.234 Omega cm .

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    If both the assertion and reason are true but the reason is ont the correct explanation of assertion
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    If both the assertion and reason are true but the reason is not the correct explanation of assertion.
    C
    If the assertion is true but reason is false.
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    If assertion is false but reason is rue

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