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A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.80 ? 107 N/m2 and a temperature of 23.0°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?
_______________ N/m2
(b) What is the final pressure if one-tenth of the gas escapes?
________________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)?
_______________K
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