high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.35 × 107 Pa and a temperature of 25.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5°C) to reduce the leak rate and pressure so that it can be safely repaired.   A) what is the final pressure, in pascals, in the tank assuming negligible amount of gas leaks while being cooled and that there is no phase change ? B) What is the final pressure in pascals if one tenth of the gas escapes during the process? C) to what tempature in kelvins must tank be cooled from inital state to reduce the pressure to 1.00 atm (assuming the gas does not change phase and there is no leakage during cooling)?

The temperature of an ideal gas remains constant while the pressure changes from 103.425 Kpaa to 1034.25 Kpaa. (a) If the initial volume is 0.08 cubic meters, determine the final volume. (b) For 0.77 Kgm of this gas, determine the change in density as a percentage of the initial density.

A basketball is pressurized to a gauge pressure of PG = 75 kPa when at the surface of a swimming pool. (Patm = 101 kPa). The ball is then submerged in the pool of water which has a density ρ = 1000 kg/m3. Assume the ball does not change in mass, temperature, or volume as it is submerged. a) Calculate the absolute pressure inside the basketball in kPa when it is at the surface.  b) Solve the pressure equation for the depth (in meters) at which the pressure difference between the inside and outside of the ball will become zero. At this depth the pressure inside the basketball is the same as the pressure outside the ball.  c) At what depth, in meters, would the pressure difference between the inside and outside of the ball be zero if the ball were submerged in mercury (ρ = 13,500 kg/m3) instead of in water?