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A balloon filled with air and having no leak initially has a volume of 41.4 L, a pressure of 736 torr, and a temperature of 292 K. What is the final volume in L, if the final pressure is 422 torr and the final temperature is 246 K? Answer:

A balloon filled with air and having no leak initially has a volume of 41.4 L, a pressure of 736 torr, and a temperature of 292 K. What is the final volume in L, if the final pressure is 422 torr and the final temperature is 246 K? Answer:

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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**Problem Statement:** A balloon filled with air and having no leak initially has a volume of 41.4 L, a pressure of 736 torr, and a temperature of 292 K. What is the final volume in L, if the final pressure is 422 torr and the final temperature is 246 K? **Answer:** --- This problem involves the use of the combined gas law, which relates the pressure, volume, and temperature of a gas. The initial and final states of the gas are given, and we need to find the final volume using the formula: \[ \frac{{P_1 \cdot V_1}}{{T_1}} = \frac{{P_2 \cdot V_2}}{{T_2}} \] Where: - \( P_1 = 736 \, \text{torr} \) (initial pressure) - \( V_1 = 41.4 \, \text{L} \) (initial volume) - \( T_1 = 292 \, \text{K} \) (initial temperature) - \( P_2 = 422 \, \text{torr} \) (final pressure) - \( T_2 = 246 \, \text{K} \) (final temperature) - \( V_2 \) is the final volume to be determined.
Transcribed Image Text:**Problem Statement:** A balloon filled with air and having no leak initially has a volume of 41.4 L, a pressure of 736 torr, and a temperature of 292 K. What is the final volume in L, if the final pressure is 422 torr and the final temperature is 246 K? **Answer:** --- This problem involves the use of the combined gas law, which relates the pressure, volume, and temperature of a gas. The initial and final states of the gas are given, and we need to find the final volume using the formula: \[ \frac{{P_1 \cdot V_1}}{{T_1}} = \frac{{P_2 \cdot V_2}}{{T_2}} \] Where: - \( P_1 = 736 \, \text{torr} \) (initial pressure) - \( V_1 = 41.4 \, \text{L} \) (initial volume) - \( T_1 = 292 \, \text{K} \) (initial temperature) - \( P_2 = 422 \, \text{torr} \) (final pressure) - \( T_2 = 246 \, \text{K} \) (final temperature) - \( V_2 \) is the final volume to be determined.
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