Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 8 one liter of lemon juice of ph 2 has _______ times more h+ t…

Question

question 8
one liter of lemon juice of ph 2 has _______ times more h+ than one liter of black coffee with a ph of 5?
1000
30
3
10

Explanation:

Step1: Recall pH formula

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

Step2: Calculate $[H^+]$ for lemon - juice

For lemon juice with $pH = 2$, $[H^+]_{lemon}=10^{-2}\ mol/L$.

Step3: Calculate $[H^+]$ for black coffee

For black coffee with $pH = 5$, $[H^+]_{coffee}=10^{-5}\ mol/L$.

Step4: Find the ratio

The ratio $\frac{[H^+]_{lemon}}{[H^+]_{coffee}}=\frac{10^{-2}}{10^{-5}} = 10^{-2-(-5)}=10^{3}=1000$.

Answer:

1000