Question

10) A student's calculation was found to have a 15.6% error, and the actual value was determined to be 25.7 mL. What are the two possible values for the student's experimental measurement?

Answer 1

To find two possible experimental measurements with a 15.6% error when the actual value is 25.7 mL, we calculate positive and negative deviations from the actual value. This results in possible measurements of approximately 29.71 mL if overestimated, or 21.69 mL if underestimated.

Step-by-step explanation:

If a student's calculation has a 15.6% error and the actual value is 25.7 mL, we need to find the two possible experimental measurements the student could have obtained. We calculate the experimental values by finding 15.6% of the actual value and then adding and subtracting this from the actual value. The formula to find the percentage error is:

Error amount = (Percentage Error/100) × Actual Value

First, calculate the error amount:

Error amount = (15.6/100) × 25.7 mL = 4.0092 mL

Now, find the two possible experimental measurements:

1. Experimental Value 1 (measured too high) = Actual Value + Error Amount
   25.7 mL + 4.0092 mL = 29.7092 mL
2. Experimental Value 2 (measured too low) = Actual Value - Error Amount
   25.7 mL - 4.0092 mL = 21.6908 mL

Therefore, the two possible experimental measurements are approximately 29.71 mL and approximately 21.69 mL.