Assuming the volumes are additive, what is the #pH# of a solution prepared from #10*mL# of #0.010*mol*L^-1# #HCl#, and #990*mL# of #0.0001*mol*L^-1# #HCl#?

1 Answer
Dec 2, 2017

#pH=3.70#

Explanation:

By definition, #pH=-log_10[H_3O^+]#

WE gots #10xx10^-3*Lxx10^-2*mol*L^-1=1.0xx10^-4*mol# with respect to #H_3O^+#...from the first solution....

And #990xx10^-3*Lxx10^-4*mol*L^-1=9.90xx10^-5*mol# with respect to #H_3O^+#...from the second solution....

And so in the final LITRE volume we realize a concentration of....

#(1.0xx10^-4*mol+9.90xx10^-5*mol)/(1*L)=1.99xx10^-4*mol*L^-1# with respect to #H_3O^+#...

And #pH=-log_10(1.99xx10^-4)=-(3.70)=3.70#