Hint: consider doing the (1/T) ratio first (apply division/multiplication rules to determine and track the number of sig figs at this point). Next, apply the rule of addition/subtraction for determining the number of sig figs that will be associated with the factor overall. number of sig number of sig figs in number of sig figs in figs in T1 (K) T2 (K) (G - ) 1/T1 1/T2 T2 400.0 450.0 (Blank 1) (Blank 2) (Blank 3)
Hint: consider doing the (1/T) ratio first (apply division/multiplication rules to determine and track the number of sig figs at this point). Next, apply the rule of addition/subtraction for determining the number of sig figs that will be associated with the factor overall. number of sig number of sig figs in number of sig figs in figs in T1 (K) T2 (K) (G - ) 1/T1 1/T2 T2 400.0 450.0 (Blank 1) (Blank 2) (Blank 3)
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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Complete the table.
![### Significant Figures in Temperature Calculations
When dealing with temperature calculations, it's important to accurately track the number of significant figures at each step. Here is a guide showing how to determine the number of significant figures when dealing with temperature ratios and differences.
#### Formula:
To determine the number of significant figures, consider using the \( \frac{1}{T} \) ratio first. Apply the division/multiplication rules to track the number of significant figures at this stage. Then, apply the rules of addition/subtraction to determine the significant figures associated with the factor overall.
The expression for significant figures is:
\[ \left( \frac{1}{T_1} - \frac{1}{T_2} \right) \]
#### Table:
Below is a table of temperatures \( T_1 \) and \( T_2 \) in Kelvin (K), along with blanks where the number of significant figures in their respective expressions should be calculated:
| \( T_1 \) (K) | \( T_2 \) (K) | Number of sig figs in \( \frac{1}{T_1} \) | Number of sig figs in \( \frac{1}{T_2} \) | Number of sig figs in \( \left( \frac{1}{T_1} - \frac{1}{T_2} \right) \) |
|---------------|---------------|----------------------------------------|-----------------------------------------|--------------------------------------------------------------------|
| 400.0 | 450.0 | (Blank 1) | (Blank 2) | (Blank 3) |
| 299 | 350.0 | (Blank 4) | (Blank 5) | (Blank 6) |
| 95 | 205 | (Blank 7) | (Blank 8) | (Blank 9) |
#### Calculation Steps:
1. **Determine the number of significant figures for \( T_1 \) and \( T_2 \):**
- \( T_1 = 400.0 \) K → 4 significant figures
- \( T_2 = 450.0 \) K → 4 significant figures
- \( T_1 = 299 \) K → 3 significant figures
- \( T_2 = 350.0 \) K → 4 significant figures](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39e2a2cb-5d0b-4cfc-ad71-0db5c6620694%2F649e40b7-3a12-47cf-9a9a-619708eb1c31%2Ftc1nnjg_processed.png&w=3840&q=75)
Transcribed Image Text:### Significant Figures in Temperature Calculations
When dealing with temperature calculations, it's important to accurately track the number of significant figures at each step. Here is a guide showing how to determine the number of significant figures when dealing with temperature ratios and differences.
#### Formula:
To determine the number of significant figures, consider using the \( \frac{1}{T} \) ratio first. Apply the division/multiplication rules to track the number of significant figures at this stage. Then, apply the rules of addition/subtraction to determine the significant figures associated with the factor overall.
The expression for significant figures is:
\[ \left( \frac{1}{T_1} - \frac{1}{T_2} \right) \]
#### Table:
Below is a table of temperatures \( T_1 \) and \( T_2 \) in Kelvin (K), along with blanks where the number of significant figures in their respective expressions should be calculated:
| \( T_1 \) (K) | \( T_2 \) (K) | Number of sig figs in \( \frac{1}{T_1} \) | Number of sig figs in \( \frac{1}{T_2} \) | Number of sig figs in \( \left( \frac{1}{T_1} - \frac{1}{T_2} \right) \) |
|---------------|---------------|----------------------------------------|-----------------------------------------|--------------------------------------------------------------------|
| 400.0 | 450.0 | (Blank 1) | (Blank 2) | (Blank 3) |
| 299 | 350.0 | (Blank 4) | (Blank 5) | (Blank 6) |
| 95 | 205 | (Blank 7) | (Blank 8) | (Blank 9) |
#### Calculation Steps:
1. **Determine the number of significant figures for \( T_1 \) and \( T_2 \):**
- \( T_1 = 400.0 \) K → 4 significant figures
- \( T_2 = 450.0 \) K → 4 significant figures
- \( T_1 = 299 \) K → 3 significant figures
- \( T_2 = 350.0 \) K → 4 significant figures
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