A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 2.10

Question

A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 2.10 107 N/m2 and a temperature of 27.0°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

Explanation / Answer

(a)

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

P = 2.1e7* (194.55/ 300.15) = 13.6e+6 Pa

b)

The pressure will be reduced to 0.9 P = 12.24e+6 Pa


c)

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


T2=? C

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.