Math Problem Statement

Calculate the percent error of a student's measurement if she found the experimental value of the volume of one quart of water to be equal to 929 mL.

Solution

To calculate the percent error, use the following formula:

Percent Error=(Experimental ValueTrue ValueTrue Value)×100\text{Percent Error} = \left( \frac{|\text{Experimental Value} - \text{True Value}|}{\text{True Value}} \right) \times 100

Here:

  • The experimental value is 929mL929 \, \text{mL}.
  • The true value is 1quart1 \, \text{quart}, which equals 946.353mL946.353 \, \text{mL}.

Now, substituting these values into the formula:

Percent Error=(929946.353946.353)×100\text{Percent Error} = \left( \frac{|929 - 946.353|}{946.353} \right) \times 100

Let's calculate that.

Percent Error=(17.353946.353)×1001.833%\text{Percent Error} = \left( \frac{17.353}{946.353} \right) \times 100 \approx 1.833\%

So, the percent error is approximately 1.83%.

Would you like more details or have any questions? Here are some related questions:

  1. How do we convert quarts to milliliters accurately?
  2. What does a small percent error indicate in an experiment?
  3. How can one improve experimental accuracy in volume measurements?
  4. Can percent error ever be negative, and why?
  5. How do we calculate percent difference between two experimental values?

Tip: Always double-check unit conversions in experimental measurements to minimize errors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percent Error
Measurement
Unit Conversion

Formulas

Percent Error = (|Experimental Value - True Value| / True Value) × 100

Theorems

-

Suitable Grade Level

Grades 8-10