Later in the semester you will learn about the combined gas law which is expressed as PV, 1=22 where P is pressure, V is volume, and T is temperature. The subscripts 1 and 2 T represent the value of each of these variables at two different conditions. Rearrange this equation to solve for T2. P.V,
Later in the semester you will learn about the combined gas law which is expressed as PV, 1=22 where P is pressure, V is volume, and T is temperature. The subscripts 1 and 2 T represent the value of each of these variables at two different conditions. Rearrange this equation to solve for T2. P.V,
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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![### Combined Gas Law
Later in the semester, you will learn about the combined gas law, which is expressed as:
\[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \]
where \( P \) is pressure, \( V \) is volume, and \( T \) is temperature. The subscripts 1 and 2 represent the value of each of these variables at two different conditions. You will need to rearrange this equation to solve for \( T_2 \).
### Rearranging the Equation
To isolate \( T_2 \) in the combined gas law equation, follow these steps:
1. Cross-multiply the equation to eliminate the fractions:
\[ P_1 V_1 \cdot T_2 = P_2 V_2 \cdot T_1 \]
2. Solve for \( T_2 \):
\[ T_2 = \frac{P_2 V_2 \cdot T_1}{P_1 V_1} \]
This rearranged form allows you to solve for the temperature at the second condition (\(T_2\)) if you know the pressure, volume, and temperature at the first condition (\(P_1 V_1 T_1\)) and the pressure and volume at the second condition (\(P_2 V_2\)).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F851b3855-75fe-432c-be65-1f20f51ae761%2Fb6eb54e9-7fca-4ce3-a685-05cd88fbf93b%2F7kdzazi_processed.png&w=3840&q=75)
Transcribed Image Text:### Combined Gas Law
Later in the semester, you will learn about the combined gas law, which is expressed as:
\[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \]
where \( P \) is pressure, \( V \) is volume, and \( T \) is temperature. The subscripts 1 and 2 represent the value of each of these variables at two different conditions. You will need to rearrange this equation to solve for \( T_2 \).
### Rearranging the Equation
To isolate \( T_2 \) in the combined gas law equation, follow these steps:
1. Cross-multiply the equation to eliminate the fractions:
\[ P_1 V_1 \cdot T_2 = P_2 V_2 \cdot T_1 \]
2. Solve for \( T_2 \):
\[ T_2 = \frac{P_2 V_2 \cdot T_1}{P_1 V_1} \]
This rearranged form allows you to solve for the temperature at the second condition (\(T_2\)) if you know the pressure, volume, and temperature at the first condition (\(P_1 V_1 T_1\)) and the pressure and volume at the second condition (\(P_2 V_2\)).
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