A high-pressure gas cylinder contains 60.0 L of toxic gas at a pressure of 1.50

Question

A high-pressure gas cylinder contains 60.0 L of toxic gas at a pressure of 1.50 107 N/m2 and a temperature of 18.0°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(b) What is the final pressure if one-tenth of the gas escapes?(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)?

Explanation / Answer

(a)

P = P (T/ T) /since volume is constant.

P = 1.5*107* (194.55/ 291.15) = 1.0023 * 107 Pa

b)

The pressure will be reduced to 0.9 P = 0.902*107 Pa

c)

P/ T = P /T( since volume is constant.)


101325/ T = 1.5*107 / 291.15

T2 = 1.967 K = -271.0330C


T = -270.3° C

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