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
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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)`
The electrical 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 resistivity , conductivity, and molar conductivity.
Calculating resistivity, conductivity and motor conductivity : The electrical resistance of a column of 0.05 mol L^(-1) NaOH solution of diameter 1 cm and length 50 cm is 55 xx 10^(3) ohm . Calculate its resistivity, conductivity and molar conductivity Strategy: Assuming the column of solution to be cylindrical determine the area of cross-section, A . Using it along with the length of column, calculate resistivity. Reciprocal of resistivity yields conductivity. When we divide conductivity by molar concentration, we get molar conductivity.
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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 .