Final answer:
The hydrogen ion concentration of apple juice is significantly higher than that of drinking water. Based on the pH values provided, the concentration in apple juice is 10 to the power of 4.3 times that of drinking water, which is approximately 19952.6 times greater, so none of the provided multiple-choice options are correct.
Step-by-step explanation:
The student's question is asking about the relative difference in hydrogen ion concentration between apple juice and drinking water based on their pH values. The pH scale is logarithmic, meaning each whole number on the scale represents a tenfold increase or decrease in hydrogen ion concentration. To find how many times greater the hydrogen ion concentration of apple juice is compared to drinking water, we must take the difference in their pH values and raise 10 to that power.
Apple juice has a pH of 2.9, and drinking water has a pH of 7.2. The difference in pH is 7.2 - 2.9, which is 4.3. The hydrogen ion concentration in apple juice is 104.3 times greater than in drinking water.
Therefore, calculating 104.3, which is approximately 19952.6, we can ascertain that the concentration difference is much higher than the options given, leading us to conclude that there may have been an error with the multiple-choice options provided in the question. In such a case, none of the available options A. 63.095 times, B. 0.63095 times, C. 100 times, or D. 10,000 times correctly represents the calculation based on the pH values given.