Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 8 (2.5 points) a solution at ph 7 contains how many times more…

Question

question 8 (2.5 points)
a solution at ph 7 contains how many times more hydrogen than a solution at a ph of 10?
2
3
10
100
1,000

Explanation:

Step1: Recall pH formula

The formula for pH is \(pH = -\log[H^+]\), so \([H^+]=10^{-pH}\).

Step2: Calculate \([H^+]\) for pH = 7

For \(pH = 7\), \([H^+]_1=10^{-7}\).

Step3: Calculate \([H^+]\) for pH = 10

For \(pH = 10\), \([H^+]_2=10^{-10}\).

Step4: Find the ratio

The ratio \(\frac{[H^+]_1}{[H^+]_2}=\frac{10^{-7}}{10^{-10}} = 10^{-7-(- 10)}=10^{3}=1000\).

Answer:

1000