Can someone explain how this answer comes about? chemistry pH

question posted below. How is 0.001 the answer for the first part?

(edited 8 years ago)

Original post by aladdin818

The moles of

\mathrm{HC}\ell

in the original solution is

\mathrm{n}(\mathrm{HC}\ell)= \mathrm{n}(\mathrm{H}^{+} )=\mathrm{c} \times \mathrm{V}=(0.1 \, \,\mathrm{mol} \, \mathrm{ dm}^{-3})(0.01 \, \mathrm{dm}^3)=0.001 \,\mathrm{mol}

, so in the new solution, the moles of

\mathrm{HC}\ell

stay the same, with only the volume changing, so

\left[\mathrm{HC}\ell \right] =\left[\mathrm{H}^{+} \right]=\dfrac{\mathrm{n}}{\mathrm{V}}=\dfrac{0.001\, \mathrm{mol}}{1\, \mathrm{dm}^{3}}=0.001 \,\mathrm{mol} \, \mathrm{ dm}^{-3}

(edited 8 years ago)

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