Problem 8.05**. A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.40 × 107 N/m² and a temperature of 25.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5ºC) 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? [9.14 × 106 Pa] (b) What is the final pressure if one-tenth of the gas escapes? [8.23 × 106 Pa] (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)? [2.16 K]

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Problem 8.05**. A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of
1.40 × 107 N/m² and a temperature of 25.0ºC. Its valve leaks after the cylinder is dropped.
The cylinder is cooled to dry ice temperature (-78.5ºC) 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?
[9.14 × 106 Pa] (b) What is the final pressure if one-tenth of the gas escapes? [8.23 × 106
Pa] (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)? [2.16
K]
Transcribed Image Text:Problem 8.05**. A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.40 × 107 N/m² and a temperature of 25.0ºC. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5ºC) 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? [9.14 × 106 Pa] (b) What is the final pressure if one-tenth of the gas escapes? [8.23 × 106 Pa] (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)? [2.16 K]
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