The column of mercury in a barometer (see Figure below) has a height of 0.780m when temperature is 0.0 °C. Ignoring any change in the glass containing the mercury, what will be the height of the mercury column for the same one atmosphere of pressure when the temperature rises to 33.1 °C on a hot day? Hint: The pressure in the barometer is Pressure = pgh, and the density p changes when the temperature changes. Number i Units …........................... Empty, except for a negligible amount of mercury vapor (P₁ = 0 Pa) B (P2= Atmospheric pressure)

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.

Large helium-filled balloons are used to lift scientific equipment to high altitudes. What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 20.8°C and rises to an altitude where its volume is sixteen times the original volume and its temperature is  −35.7°C?  (Enter your answer to at least 3 decimal places) What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)

The absolute pressure inside an oxygen tank is P=100kPa, the temperature is 27°C, and the mass is m=3.0 kg.  Assume the oxygen behaves as an ideal gas. The gas constant of oxygen is R=0.2598 kPa·m3/kg·K. The temperature relation is T(K)=T(°C)+273. Determine the volume of  oxygen tank ______ m3