cylinder is closed by a piston connected to a spring of constant 2.40 x 103 N/m. With the spring relaxed, the cylinder is filled with 5.00 L of gas at a pressure of 1.00 atm and a temperature of 20.0°C. a) If the piston has a cross-sectional area of 0.0130 m 2  and negligible mass, how high (in meter) will it rise when the temperature is raised to 250°C? b) The pressure of the gas at 250°C = __ × 105 Pa

An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 31.0% of its original volume and the temperature is increased to 48.0°C. (a) What is the tire pressure in pascals?(b) After the car is driven at high speed, the tire's air temperature rises to 85.0°C and the tire's interior volume increases by 3.00%. What is the new tire pressure (absolute) in pascals?

A basketball is pressurized to a gauge pressure of PG = 55 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. Calculate the absolute pressure inside the basketball in kPa when it is at the surface.  Write an equation for the pressure difference ΔP between the inside and outside of the ball when it is submerged a distance y below the surface of the water.  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.

Two glass containers, of equal volume each hold a mole of gas. Container 1 is filled with hydrogen gas (molar mass 2 g / mol), and Container 2 holds helium (molar mass 4 g / mol). If the pressure of the gas in Container 1 equals the pressure of the gas in Container 2, which of the following is true?   (a)  The temperature of the gas in Container 1 is lower than the temperature of the gas in Container 2. (b)  The temperature of the gas in Container 1 is greater than the temperature of the gas in Container 2. (c)  The value of R for the gas in Container 1 is ½ the value of R for the gas in Container 2. (d)  The rms speed of the gas molecules in Container 1 is lower than the rms speed of the gas molecules in Container 2. (e)  The rms speed of the gas molecules in Container 1 is greater than the rms speed of the gas molecules in Container 2.