A high-pressure gas cylinder contains 60.0 L of toxic gas at a pressure of 1.43 ✕ 107 N/m2 and a temperature of 22.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (−78.5°C) to reduce the leak rate and pressure so that it can be safely repaired. To what temperature in kelvins must the tank be cooled to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)?   Does cooling the tank appear to be a practical solution?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 15OQ
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A high-pressure gas cylinder contains 60.0 L of toxic gas at a pressure of 1.43 ✕ 107 N/m2 and a temperature of 22.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (−78.5°C) to reduce the leak rate and pressure so that it can be safely repaired.
To what temperature in kelvins must the tank be cooled to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)?
 
Does cooling the tank appear to be a practical solution?
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