3.00 * 10^-33.00103 mol ofHBr are dissolved in water to make 16 L of solution. What is the concentration of hydroxide ions, [OH^-OH] in this solution?

1 Answer
Jul 16, 2017

[HO^-]=5.33xx10^-11*mol*L^-1[HO]=5.33×1011molL1

Explanation:

We know that 10^-14=[HO^-][H_3O^+]1014=[HO][H3O+] under standard conditions at 298*K298K......... And should we take log_10log10 of BOTH SIDES, we gets......

underbrace(log_10(10^-14))_-14=log_10[H_3O^+] + log_10[HO^-]

And on rearrangement, 14=underbrace(-log_10[H_3O^+])_(pH)underbrace(-log_10[HO^-])_(pOH)

And so our defining relationship, pH+pOH=14

Now.............

[H_3O^+]=(3.00xx10^-3*mol)/(16*L)=1.875xx10^-4*mol*L^-1

pH=-log_10(1.875xx10^-4)=-(-3.727)=3.727

And thus pOH=10.27, and......................

[HO^-]=10^(-10.27)=5.33xx10^-11*mol*L^-1