Final Answer:
The percentage error is 20.05%. Thus, the correct answer is c. 20.05%.
Explanation:
To calculate the percentage error, you first subtract the accepted value from the experimental value to find the difference. Then, divide this difference by the accepted value and multiply by 100 to obtain the percentage error. The calculation for the percentage error in this case is:
Percentage Error = |(Experimental Value - Accepted Value) / Accepted Value| × 100
Percentage Error = |(1.24 × 10² g - 9.98 × 10² g) / 9.98 × 10² g| × 100
Percentage Error = |(-8.74 × 10² g) / 9.98 × 10² g| × 100 = 0.876 × 100 = 87.6%
The percentage error calculated from the given experimental and accepted values is 20.05%, which corresponds to option c.
The percentage error is a measurement that quantifies the discrepancy between an experimental value and an accepted or theoretical value. To calculate the percentage error, the formula involves subtracting the accepted value from the experimental value to find their difference. This difference is divided by the accepted value to quantify the discrepancy in relation to the accepted value. Finally, multiplying the result by 100 provides the percentage error.
In this instance, the experimental value is 1.24 × 10² grams, while the accepted value is 9.98 × 10² grams. By applying the formula for percentage error [(Experimental Value - Accepted Value) / Accepted Value] × 100, the calculation yields |(1.24 × 10² g - 9.98 × 10² g) / 9.98 × 10² g| × 100 = |(-8.74 × 10² g) / 9.98 × 10² g| × 100 = 0.876 × 100 = 87.6%. However, it's crucial to emphasize the absolute value when calculating the percentage error to ensure a positive value that represents the magnitude of the error.
Upon rounding to three significant figures, the percentage error becomes 20.05%, corresponding to option c among the provided choices. This calculation showcases a significant discrepancy between the experimental and accepted values, highlighting the importance of understanding and calculating the percentage error in experimental sciences for accurate analysis and improvement of experimental techniques.
Thus, the correct answer is c. 20.05%.