A sample of an ideal gas has a volume of 2.31 L at 279 K and 1.07 atm. Calculate the pressure when the volume is 1.20 L and the temperature is 305 K. P = atm
A sample of an ideal gas has a volume of 2.31 L at 279 K and 1.07 atm. Calculate the pressure when the volume is 1.20 L and the temperature is 305 K. P = atm
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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![**Ideal Gas Law Calculation**
A sample of an ideal gas has a volume of 2.31 L at 279 K and 1.07 atm. Calculate the pressure when the volume is 1.20 L and the temperature is 305 K.
\[ P = \]
___ atm
To solve this problem, you should use the combined gas law which relates pressure, volume, and temperature:
\[
\frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2}
\]
Where:
- \( P_1 = 1.07 \, \text{atm} \)
- \( V_1 = 2.31 \, \text{L} \)
- \( T_1 = 279 \, \text{K} \)
- \( V_2 = 1.20 \, \text{L} \)
- \( T_2 = 305 \, \text{K} \)
Solve for \( P_2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F861073eb-90f0-4339-aab4-71455772cad6%2F38d1a75d-4294-4f6c-ab6c-188aa7658917%2Fad3hu8_processed.png&w=3840&q=75)
Transcribed Image Text:**Ideal Gas Law Calculation**
A sample of an ideal gas has a volume of 2.31 L at 279 K and 1.07 atm. Calculate the pressure when the volume is 1.20 L and the temperature is 305 K.
\[ P = \]
___ atm
To solve this problem, you should use the combined gas law which relates pressure, volume, and temperature:
\[
\frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2}
\]
Where:
- \( P_1 = 1.07 \, \text{atm} \)
- \( V_1 = 2.31 \, \text{L} \)
- \( T_1 = 279 \, \text{K} \)
- \( V_2 = 1.20 \, \text{L} \)
- \( T_2 = 305 \, \text{K} \)
Solve for \( P_2 \).
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