Question

9 a student performs an experiment to measure the boiling point of pentane and measures it at 37.2 degrees celsius. the literature reports this value at 36.1 degrees celsius. what is the students percent error? round your answer to 3 significant figures, and dont forget the % sign! * (0.5 points) enter your answer

Explanation:

Step1: Find the absolute error

The absolute error is the absolute value of the difference between the measured value and the accepted value.
Measured value ($M$) = 37.2 °C, Accepted value ($A$) = 36.1 °C.
Absolute error = $|M - A| = |37.2 - 36.1| = 1.1$ °C.

Step2: Calculate percent error

The formula for percent error is $\text{Percent Error} = \frac{|\text{Measured Value} - \text{Accepted Value}|}{\text{Accepted Value}} \times 100\%$.
Substitute the values: $\text{Percent Error} = \frac{1.1}{36.1} \times 100\%$.
Calculate $\frac{1.1}{36.1} \approx 0.03047$, then multiply by 100%: $0.03047\times 100\% = 3.047\%$.
Round to 3 significant figures: 3.05%.

Answer:

3.05%