Question:
The resistivity of a solution is \(25.0\ \Omega\)·cm. Find its conductivity \(\kappa\) in (S cm\({}^{-1}\)).
The resistivity of a solution is \(25.0\ \Omega\)·cm. Find its conductivity \(\kappa\) in (S cm\({}^{-1}\)).
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Conductivity is the reciprocal of resistivity.
Updated On: Nov 12, 2026
- \(0.04\) S cm\({}^{-1}\)
- \(0.07\) S cm\({}^{-1}\)
- \(0.14\) S cm\({}^{-1}\)
- \(0.317\) S cm\({}^{-1}\)
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
Conductivity is the reciprocal of resistivity: \(\kappa=\dfrac{1}{\rho}\).
Step 2: Substitute
The resistivity is \(\rho=25.0\ \Omega\,\text{cm}\).
Step 3: Calculation
\(\kappa=\dfrac{1}{25.0\ \Omega\,\text{cm}}=0.04\ \Omega^{-1}\text{cm}^{-1}\). Since \(1\ \Omega^{-1}=1\) S, \(\kappa=0.04\) S cm\(^{-1}\).
Final Answer:
The conductivity is 0.04 S per cm, which is option (A). \[ \boxed{\text{(A) }0.04\text{ S cm}^{-1}} \]
Conductivity is the reciprocal of resistivity: \(\kappa=\dfrac{1}{\rho}\).
Step 2: Substitute
The resistivity is \(\rho=25.0\ \Omega\,\text{cm}\).
Step 3: Calculation
\(\kappa=\dfrac{1}{25.0\ \Omega\,\text{cm}}=0.04\ \Omega^{-1}\text{cm}^{-1}\). Since \(1\ \Omega^{-1}=1\) S, \(\kappa=0.04\) S cm\(^{-1}\).
Final Answer:
The conductivity is 0.04 S per cm, which is option (A). \[ \boxed{\text{(A) }0.04\text{ S cm}^{-1}} \]
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