A student experimentally determines the gas law constant, \( R \), by reacting a small piece of magnesium with excess hydrochloric acid and then collecting the hydrogen gas over water in a eudiometer. Based on experimentally collected data, the student calculates \( R \) to equal \( 0.0833 \frac{\mathrm{~L} \cdot \mathrm{~atm}}{\mathrm{~mol} \cdot \mathrm{~K}} \).
Note: Reference the Fundamental constants table for additional information.
Part 1 of 2
Determine the percent error for the student's \( R \)-value. Round your answer to 3 significant digits.
Percent error \( = \) \( \square \) \( \% \)
\( \square \) \( \times 10 \)
