Determine the volume of 0.100 mol of HCl in 0.250\ {moldm}³ of solution.

Correct Answer is : 400 cm3400\ {cm}³400 cm3

Correct Answer is : 400 cm3400\ {cm}³400 cm3

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WAEC Chemistry 2023 Paper

Question : 34

Total: 50

0.250\ \mathrm{moldm}^3

Solution:

Molarity

= \frac{0.100\ \mathrm{mol}}{0.250\ \mathrm{mol}\ \mathrm{dm}^3}

= \frac{0.100\ \mathrm{mol}}{0.250\ \mathrm{dm}^3}

\frac{1000\ \mathrm{cm}^3}{\mathrm{dm}^3}

= 400\ \mathrm{cm}^3

Volume (V) = Amount ( n ) / Concentration (C)

Given that the amount of HCl is 0.100 mol and the concentration of the solution is

\frac{0.250\ \mathrm{mol}}{\mathrm{dm}^3}

, you can calculate the volume:

Volume (V)

= \frac{0.100\ \mathrm{mol}}{\frac{0.250\ \mathrm{mol}}{\mathrm{dm}^3}} = 0.4\ \mathrm{dm}^3

Since

1\ \mathrm{dm}^3

is equal to

1000\ \mathrm{cm}^3

, you can convert the volume from

\mathrm{dm}^3

\mathrm{cm}^3

Volume (V)

= 0.4\ \mathrm{dm}^3 \times \frac{1000\ \mathrm{cm}^3}{\mathrm{dm}^3} = 400\ \mathrm{cm}^3

Therefore, the volume of 0.100 mol of HCl in a

\frac{0.250\ \mathrm{mol}}{\mathrm{dm}^3}

solution is

400\ \mathrm{cm}^3

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