Chapter 13, Problem 34PE

A high—pressure gas cylinder contains $\text{5}0.\text{13 L}$ of toxic gas at a pressure of $1.40\times {10}^7{\text{N/m}}^2$ and a temperature of $\text{25}.0°\text{C}$. Its value leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature $\left(–\text{78}.\text{5}°\text{C}\right)$ 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 it 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)? (d) Does cooling the tank appear to be a practical solution?