In a particular trial, a student got a value for R of 0.074. Calculate the percent deviation of this result. Enter a number without the % sign. The percent deviation should be reported as a positive value. R should be the ideal gas constant. (theoretical/experiment value)
In a particular trial, a student got a value for R of 0.074. Calculate the percent deviation of this result. Enter a number without the % sign. The percent deviation should be reported as a positive value. R should be the ideal gas constant. (theoretical/experiment value)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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In a particular trial, a student got a value for R of 0.074. Calculate the percent deviation of this result. Enter a number without the % sign. The percent deviation should be reported as a positive value.
R should be the ideal gas constant. (theoretical/experiment value)
![In a particular trial, a student got a value for \( R \) of 0.074. Calculate the percent deviation of this result. Enter a number without the % sign. The percent deviation should be reported as a positive value.
\[
\%_{\text{deviation}} = \left( \frac{|R_{\text{experimental}} - R_{\text{accepted}}|}{R_{\text{accepted}}} \right) \times 100
\]
**Explanation of Formula:**
The formula provided calculates the percent deviation. Here's a detailed breakdown:
1. **Absolute Difference**: \(|R_{\text{experimental}} - R_{\text{accepted}}|\) indicates the absolute difference between the experimental value and the accepted value. Absolute value is used to ensure the result is positive.
2. **Division by Accepted Value**: This difference is then divided by the accepted value \(R_{\text{accepted}}\).
3. **Multiplication by 100**: The final result is multiplied by 100 to convert the deviation into a percentage.
This formula helps in determining how much the experimental value deviates from the accepted or standard value in percentage terms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36f9df77-a167-4a5a-b65f-f6706a95cade%2Fbc98a6cb-27a2-4b0d-b6d9-c2ab68233fe2%2Fi1sx8wo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a particular trial, a student got a value for \( R \) of 0.074. Calculate the percent deviation of this result. Enter a number without the % sign. The percent deviation should be reported as a positive value.
\[
\%_{\text{deviation}} = \left( \frac{|R_{\text{experimental}} - R_{\text{accepted}}|}{R_{\text{accepted}}} \right) \times 100
\]
**Explanation of Formula:**
The formula provided calculates the percent deviation. Here's a detailed breakdown:
1. **Absolute Difference**: \(|R_{\text{experimental}} - R_{\text{accepted}}|\) indicates the absolute difference between the experimental value and the accepted value. Absolute value is used to ensure the result is positive.
2. **Division by Accepted Value**: This difference is then divided by the accepted value \(R_{\text{accepted}}\).
3. **Multiplication by 100**: The final result is multiplied by 100 to convert the deviation into a percentage.
This formula helps in determining how much the experimental value deviates from the accepted or standard value in percentage terms.
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