
Cassandra L. answered 03/10/23
STEM & English Tutor Specializing in Biology, Chemistry, & Writing
Hey Alex!
Let's give this one a go. The formula for pH is:
pH = -log[H+]
We've been given a 0.0040 M solution of HNO3. We know that since protons (H+) make a solution more acidic, to get the concentration of protons we'll need to determine what happens when we isolate a proton from HNO3. Nitric acid (HNO3) is a strong acid, meaning it will dissociate (break into ions) once it comes in contact with water, as so:
HNO3 + H2O -> H+ + NO3-
This means that for every 1 mole of HNO3 that dissociates, 1 mole of H+ is produced. Thus, every 0.0040M of HNO3 produces 0.0040M of H+
Perfect! Now we can plug our [H+] into the formula for pH:
pH = -log[H+]
pH = -log[0.0040M]
pH = 2.397940009
We have 2 significant figures (sig figs) in our given value 0.0040M, so our answer will have 2 sig figs as well:
pH = 2.4
Hope this helps! :)