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


Question

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

Options

A) 450cm\(^3\)

B) 300cm\(^3\)

C) 200cm\(^3\)

D) 150cm\(^3\)


The correct answer is A.

Explanation:

From the dilution law:
C\(_1\)V\(_1\) = C\(_2\)V\(_2\)
C\(_1\) = Initial Concentration of NaOH = 0.6M
V\(_1\) = Initial Volume of NaOH = 300cm3
C\(_2\) = Final Concentration 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\(^3\)

Correct Computation as it follows the equation specified


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Dicussion (1)

  • From the dilution law:
    C\(_1\)V\(_1\) = C\(_2\)V\(_2\)
    C\(_1\) = Initial Concentration of NaOH = 0.6M
    V\(_1\) = Initial Volume of NaOH = 300cm3
    C\(_2\) = Final Concentration 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\(^3\)

    Correct Computation as it follows the equation specified

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