The conductivity of a 0.01N solution is found to be `0.005ohm^-1cm^-1` the equivalent conductivity of the solution will be

Options

A. `5xx10^-2ohm^-1cm^2equlv^-1`
B. `5.00xx10^-3ohm^-1cm^2`
C. `500ohm^-1cm^2equlv^-1`
D. `0.5ohm^-1cm^2equlv^-1`

Answer

To find the equivalent conductivity of the solution, we can use the formula for equivalent conductivity (Λ):

\[ \Lambda = \frac{\kappa \times 1000}{C} \]

where:
- \(\Lambda\) = equivalent conductivity (in ohm\(^{-1}\)cm\(^2\)equivalent\(^{-1}\))
- \(\kappa\) = conductivity of the solution (in ohm\(^{-1}\)cm\(^{-1}\))
- \(C\) = concentration of the solution in normality (N)

### Step-by-Step Solution:

1. **Identify the given values**:
- Conductivity (\(\kappa\)) = 0.005 ohm\(^{-1}\)cm\(^{-1}\)
- Concentration (C) = 0.01 N

2. **Substitute the values into the formula**:
\[ \Lambda = \frac{0.005 \times 1000}{0.01} \]

3. **Calculate the numerator**:
\[ 0.005 \times 1000 = 5 \]

4. **Now divide by the concentration**:
\[ \Lambda = \frac{5}{0.01} = 500 \]

5. **Write the final answer with units**:
\[ \Lambda = 500 \, \text{ohm}^{-1}\text{cm}^2\text{equivalent}^{-1} \]

### Final Answer:
The equivalent conductivity of the solution is \(500 \, \text{ohm}^{-1}\text{cm}^2\text{equivalent}^{-1}\).

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