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A gas at 297 K, 1.018 atm and 0.800 L was heated to a final temperature of 336 K and 1.250 atm. How will you determine the final volume? New Volume = Note: If you don't want to enter a value, use 0 for addition or 1 for multiplication

A gas at 297 K, 1.018 atm and 0.800 L was heated to a final temperature of 336 K and 1.250 atm. How will you determine the final volume? New Volume = Note: If you don't want to enter a value, use 0 for addition or 1 for multiplication

Chemistry
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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### Determining the Final Volume of a Gas Sample #### Question: A gas at 297 K, 1.018 atm, and 0.800 L was heated to a final temperature of 336 K and 1.250 atm. How will you determine the final volume? #### Solution: The final volume can be determined using the combined gas law, which is given by the formula: \[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \] Rearranging the formula to solve for the new volume (\( V_2 \)): \[ V_2 = \frac{P_1 V_1 T_2}{P_2 T_1} \] We need to substitute the given values: - Initial temperature (\( T_1 \)) = 297 K - Initial pressure (\( P_1 \)) = 1.018 atm - Initial volume (\( V_1 \)) = 0.800 L - Final temperature (\( T_2 \)) = 336 K - Final pressure (\( P_2 \)) = 1.250 atm #### Calculation Setup: \[ V_2 = \frac{1.018 \, \text{atm} \times 0.800 \, \text{L} \times 336 \, \text{K}}{1.250 \, \text{atm} \times 297 \, \text{K}} \] #### Visual Representation: The image contains a mathematical setup where specific values need to be placed inside fields to calculate the final volume. #### Note: - If you don't want to enter a value, use 0 for addition or 1 for multiplication. By substituting the given values, you can determine the final volume of the gas sample. The combined gas law allows us to calculate how a change in temperature and pressure affects the volume. #### Explanation of Diagram: The image consists of a textual problem with an area to enter the values and select mathematical operations. This interactive approach helps you visualize how each variable contributes to finding the new volume. This information is designed to assist students or individuals learning about the combined gas law.
Transcribed Image Text:### Determining the Final Volume of a Gas Sample #### Question: A gas at 297 K, 1.018 atm, and 0.800 L was heated to a final temperature of 336 K and 1.250 atm. How will you determine the final volume? #### Solution: The final volume can be determined using the combined gas law, which is given by the formula: \[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \] Rearranging the formula to solve for the new volume (\( V_2 \)): \[ V_2 = \frac{P_1 V_1 T_2}{P_2 T_1} \] We need to substitute the given values: - Initial temperature (\( T_1 \)) = 297 K - Initial pressure (\( P_1 \)) = 1.018 atm - Initial volume (\( V_1 \)) = 0.800 L - Final temperature (\( T_2 \)) = 336 K - Final pressure (\( P_2 \)) = 1.250 atm #### Calculation Setup: \[ V_2 = \frac{1.018 \, \text{atm} \times 0.800 \, \text{L} \times 336 \, \text{K}}{1.250 \, \text{atm} \times 297 \, \text{K}} \] #### Visual Representation: The image contains a mathematical setup where specific values need to be placed inside fields to calculate the final volume. #### Note: - If you don't want to enter a value, use 0 for addition or 1 for multiplication. By substituting the given values, you can determine the final volume of the gas sample. The combined gas law allows us to calculate how a change in temperature and pressure affects the volume. #### Explanation of Diagram: The image consists of a textual problem with an area to enter the values and select mathematical operations. This interactive approach helps you visualize how each variable contributes to finding the new volume. This information is designed to assist students or individuals learning about the combined gas law.
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