Calculating pH of Water After Adding HCl and NaOH

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Homework Statement


What will the pH be by adding 1M HCL and 1M NaOH to pure water?

Homework Equations


pH= -log[H+]

The Attempt at a Solution


Well, If we form the reaction formula we get
HCl + NaOH ---> H20 + NaCl

This is a neutralizing reaction, so the net effect produces just water. Therefore the pH doesn't change. Is this logic right?
 
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Depends on whether you are expected to take ionic strength of the solution into effect, or not. That's typically at least undergraduate level though.
 
And don't forget the question was: what is the pH?