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To what volume must 300cm 3 of 0 60M sodium hyd... - JAMB Chemistry 2018 Question

To what volume must 300cm\(^3\) of 0.60M sodium hydroxide solution be diluted to give a 0.40M solution?

A
450cm\(^3\)
B
300cm\(^3\)
C
200cm\(^3\)
D
150cm\(^3\)
correct option: a

From the dilution law:

  C\(_1\)V\(_1\) = C\(_2\)V\(_2\)

  C\(_1\) = Initial conc. of NaOH = 0.6M

  V\(_1\) = Initial Volume of NaOH = 300cm3

  C\(_2\) = Final conc. of NaOH = 0.4M

  V\(_2\) = Final Volume of NaOH = ?

  V\(_2\) = \(\frac{C_1V_1}{C_2}\)

  V\(_2\) = \(\frac{0.6 \times 300}{0.4}\)

  V\(_2\) = 450 cm\(^3\)

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