Solution of monobasic acid has a PH=5. If one mL of it is diluted to 1...
Introduction:
Acids and bases are characterized by their pH values, which determine their level of acidity or alkalinity. A pH of 7 is considered neutral, while values below 7 are acidic and values above 7 are basic or alkaline. In this question, we are given a monobasic acid solution with a pH of 5 and asked to determine the pH of the resulting solution when one milliliter of the original solution is diluted to one liter.
Calculating the pH of the resulting solution:
When a solution is diluted, the amount of acid or base remains the same, but the volume of the solution increases. The concentration of the acid or base decreases as a result. To calculate the pH of the resulting solution, we can use the concept of dilution.
Step 1: Calculate the concentration of the original solution:
The pH of the original solution is given as 5. The pH scale is logarithmic, meaning that a change of one unit represents a tenfold change in concentration. Therefore, a pH of 5 corresponds to a concentration of 10^(-5) moles per liter.
Step 2: Calculate the concentration of the resulting solution:
Since one milliliter of the original solution is diluted to one liter, the final volume of the resulting solution is 1000 mL. The amount of acid remains the same, so the concentration of the resulting solution can be calculated using the formula:
Concentration of resulting solution = (Concentration of original solution * Volume of original solution) / Volume of resulting solution
Concentration of resulting solution = (10^(-5) moles/L * 1 mL) / 1000 mL
Concentration of resulting solution = 10^(-8) moles/L
Step 3: Calculate the pH of the resulting solution:
To calculate the pH of the resulting solution, we take the negative logarithm (base 10) of the concentration:
pH = -log(Concentration of resulting solution)
pH = -log(10^(-8))
pH = -(-8)
pH = 8
Conclusion:
The pH of the resulting solution, when one milliliter of the original monobasic acid solution is diluted to one liter, is 8. Therefore, the correct answer is option C, 8.58.