A solution with a hydrogen ion concentration of 1.00 x 10E-3 M would have what hydroxide ion concentration? a 1.00 x 10E3 M b 1.00 x...

Choose a Formula

The relationship between the concentration of hydrogen ions (`~H^+` ) and hydroxide ions (`~OH^-` ) is given by the following formula:

    [`~H^+` ][`OH^-` ] = 1.0 x `~10^-^14` ` `

The square brackets in the formula stand for "the concentration of"

1.0 x `~10^-^14`  is the ionization constant for water (`~K_w` )

Solve for the Hydroxide Concentration

We can rearrange the above formula to isolate the hydroxide ion [`~OH^-` ]. To rearrange the formula, divide both sides of the formula by [`~H^+` ]:

    [`~OH^-` ] = 1 x `~10^-^14`/[`~H^+` ]

Now, we can plug in the given value for the [`~H^+` ] and solve for [`~OH^-` ]:

   [`OH^-` ] = 1 x `~10^-^14`/1 x `~10^-^3`  

                = 1 x `~10^-^11`  M

So, the answer would be b.