Question
upstudy study bank question image url

Suppose the pH of a solution decreases by 8 . How does the hydrogen ion concentration change?

Ask by Sherman Chambers. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The hydrogen ion concentration increases by a factor of 100,000,000.

Solution

Let the initial pH be \( \text{pH}_1 \) and the corresponding hydrogen ion concentration be \[ [H^+]_1 = 10^{-\text{pH}_1}. \] If the pH decreases by 8, the new pH is \[ \text{pH}_2 = \text{pH}_1 - 8. \] The new hydrogen ion concentration is then \[ [H^+]_2 = 10^{-\text{pH}_2} = 10^{-(\text{pH}_1 - 8)} = 10^{8-\text{pH}_1}. \] To find the change, we calculate the ratio of the new concentration to the original: \[ \frac{[H^+]_2}{[H^+]_1} = \frac{10^{8-\text{pH}_1}}{10^{-\text{pH}_1}} = 10^{8}. \] Thus, the hydrogen ion concentration increases by a factor of \( 10^8 \).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

When the pH of a solution decreases by 8, the hydrogen ion concentration increases dramatically. The pH scale is logarithmic, which means each whole number change represents a tenfold change in hydrogen ion concentration. A decrease of 8 in pH means the hydrogen ion concentration increases by a factor of 10^8, or 100 million times. So, if you started with a pH of 14 (very basic) and decreased it to 6, you would find the solution has become extremely acidic. This explosive increase is not just theoretical; it's vital in many real-world scenarios, such as aquatic ecosystems. For instance, a significant drop in pH can lead to conditions where aquatic life struggles to survive. Fish and other marine organisms have specific pH ranges they thrive in. Beyond that, the entire ecosystem could be at risk, emphasizing the importance of monitoring pH levels in our natural environments!

Related Questions

Latest Chemistry Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy