A solution with pH 4 has _________blank the H+H+ concentration of a solution with pH 8.
½
2 times
4 times
10,000 times
1/10,000

Question

A solution with pH 4 has _________blank the H+H+ concentration of a solution with pH 8.
½
2 times
4 times
10,000 times
1/10,000

BlackTom AI · Accepted Answer

To tackle this question, first restate what is being compared: a solution with pH 4 versus a solution with pH 8, and how their H+ concentration (hydrogen ion concentration) differ.

Option 1: ½. This would mean the pH 4 solution has half the H+ concentration of the pH 8 solution. Since pH is a log scale where each unit difference corresponds to a tenfold change in [H+], a pH 4 solution cannot have only half as much H+ as a pH 8 solution; in fact, it must have far more, not less. Therefore this is incorrect.

Option 2: 2 times. Similar to the first option, claiming a twofold difference contradicts the tenfold per pH unit rule. A shift of four pH units (from 8 to 4) implies a factor of 10^4 in [H+], not a factor of 2. This option is incorrect.

Option 3: 4 times. Again, this underestimates the effect of a four-unit pH difference. The known relationship is exponential with base 10 per pH unit, so four units correspond to 10^4, not 4. Thus this is incorrect.

Option 4: 10,000 times. This aligns with the pH scale: pH 4 means [H+] = 10^-4 M, and pH 8 means [H+] = 10^-8 M. The ratio is (10^-4)/(10^-8) = 10^( -4 - (-8) ) = 10^4 = 10,000. Therefore this option is correct.

Option 5: 1/10,000. This would imply that the pH 4 solution has a thousandfold smaller H+ concentration than the pH 8 solution, which contradicts the fundamental concept that lower pH corresponds to higher acidity (more H+). Hence this option is incorrect.

In summary, the only choice consistent with the pH-to-H+ relationship is the one stating that the pH 4 solution has 10,000 times the hydrogen ion concentration of the pH 8 solution, because each unit decrease in pH increases [H+] by a factor of 10, and four unit decreases yield a factor of 10^4.

BIOL109LV02 HW# 2

A solution with pH 4 has _________blank the H+H+ concentration of a solution with pH 8. ½ 2 times 4 times 10,000 times 1/10,000

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