Verified Answer :

In order to determine the amount needed, we have to know the chemical reaction that would happen between the substances. In this case the reaction would be:

NaOH + HCl = NaCl + H2O

We calculate as follows:

.1 L (0.5 mol NaOH / L ) ( 1 mol HCl / 1 mol NaOH) ( 1 L / 0.6 mol HCl ) = 0.08 L or 80 mL of 06 M HCl

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Explanation:

The given data is as follows.

      \(M_{1}\) = 0.6 M,          \(V_{1}\) = ?

      \(M_{2}\) = 0.5 M,         \(V_{2}\) = 100.0 ml

Therefore, we calculate the volume of NaOH as follows.

   \((Molarity \times Volume)_{HCl}\) = \((Molarity \times Volume)_{NaOH}\)

        \(M_{1} \times V_{1} = M_{2} \times V_{2}\)

                  \(V_{1} = \frac{M_{2} \times V_{2}}{M_{1}}\)

                                   = \(\frac{0.5 M \times 100.0 ml}{0.6 M}\)

                                   = 83.33 ml

Thus, we can conclude that volume of HCl is 83.33 ml.