A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 1.40 x 107 N/m² and a temperature of 16.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperatures (-78.5°C), to reduce the leak rate and pressure so that it can be safely repaired. (a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change? 9.42e6 N/m² (b) What is the final pressure if one-tenth of the gas escapes? 8.61e6 N/m² (c) To what temperature 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)? 2.14 Review the values for initial and final pressure for this situation. K

A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 1.40 x 107 N/m² and a temperature of 16.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperatures (-78.5°C), to reduce the leak rate and pressure so that it can be safely repaired. (a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change? 9.42e6 N/m² (b) What is the final pressure if one-tenth of the gas escapes? 8.61e6 N/m² (c) To what temperature 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)? 2.14 Review the values for initial and final pressure for this situation. K

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Kinetic Theory of Gas

The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.

P-V Diagram

A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.

Question

A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 1.40 x 107 N/m² and a temperature of 16.0°C. Its valve
leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperatures (-78.5°C), to reduce the leak rate and pressure
so that it can be safely repaired.
(a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is
no phase change?
9.42e6
N/m²
(b) What is the final pressure if one-tenth of the gas escapes?
8.61e6
N/m²
(c) To what temperature 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)?
2.14
Review the values for initial and final pressure for this situation. K

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