A helium-filled balloon escapes a child's hand at sea level and 20.9 ∘C.     Part A When it reaches an altitude of 3600 m, where the temperature is 5.6 ∘C and the pressure is only 0.72 atm , how will its volume compare to that at sea level?

On the surface of a hypothetical planet X, the atmospheric pressure is 4.25 x 106 Pa, and the temperature is 707 K. On the earth's surface the atmospheric pressure is 1.00 x 105 Pa, while the surface temperature can reach 320 K. These data imply that the planet X has a "thicker" atmosphere at its surface than does the earth, which means that the number of molecules per unit volume (N/V) is greater on the surface of planet X than on the earth. Find the ratio (N/V)X/(N/V)Earth.

A large cylindrical tank contains 0.760 m3 of nitrogen gas at 20.0 ∘C and 1.45×105 Pa (absolute pressure). The tank has a tight-fitting piston that allows the volume to be changed. What will be the pressure if the volume is decreased to 0.410 m3 and the temperature is increased to 159 ∘C? Express your answer in pascals.

15.01 A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains 0.100 m3m3 of air at a pressure of 3.10 atm. The piston is slowly pulled out until the volume of the gas is increased to 0.390 m3 . If the temperature remains constant, what is the final value of the pressure? Express your answer in atmospheres.