Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 10.8°C and rises to an altitude where its volume is eighteen times the original volume and its temperature is  −43.7°C?  (Enter your answer to at least 3 decimal places)  atm (b) What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)  atm

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.)

If a spring is stretched 2.0 cm by a suspended object having a mass of0.55 kg, what is the force constant of the spring?

Suppose you have a closed rigid container of air at 20 Celsius on the surface of the Earth. We change  the temperature of the container to 48 Celsius, leaving it closed, and read a pressure gauge attached to the container.  Initially the reading was 101 KPa (kilopascals, or 1000 N/m2).  What is the new reading? Give your answer in KPa.

Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 16.8°C and rises to an altitude where its volume is eighteen times the original volume and its temperature is −31.7°C? (Enter your answer to at least 3 decimal places)    atm   (b)What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)  atm

1. A bicycle pump inflates a tire of volume 565 mL until the gauge pressure is 6.47 bar at a temperature of 21.7°C. (Note: the volume of the tire before and after it is "inflated" is 565 mL. Initially, the tire contains air at ambient atmospheric pressure.) (a) If the barometric pressure is 1.01 bar, what is the absolute pressure in the tire? (b) (c) How many moles of air does the tire contain? What volume of air at 1.01 bar and 21.7°C did the pump transfer?

A light balloon is filled with 397 m3 of helium at atmospheric pressure. (a) At 0°C, the balloon can lift a payload of what mass? kg (b) In the table below, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen? | kg Densities of Some Common Substances at Standard Temperature (0°C) and Pressure (Atmospheric) Substance p(kg/m³) p(kg/m3) Substance 0.917 X 10 7.86 X 10 Air 1.29 Ice Aluminum 2.70 X 10 Iron Benzene 0.879 X 103 Lead 11.3 X 10 Copper 8.92 X 103 Mercury 13.6 X 103 Ethyl alcohol Fresh water 0.806 X 10% Oak 0.710 X 10 1.00 X 10 Oxygen gas 1.43 Glycerin 1.26 X 103 Pine 0.373 X 103 19.3 X 10 1.79 X 10-1 21.4 X 10 1.03 X 10 10.5 X 103 Gold Platinum Helium gas Seawater Hydrogen gas 8.99 X 10-2 Silver

The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25°C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m³, determine the pressure rise in the tire when the air temperature in the tire rises to 44°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. kJ kPa.m³ kJ Assume the atmospheric pressure to be 100 kPa. The gas constant of air is R = 0. 287- = 0.287 kg-K The pressure rise in the tire is 210.2 kPa. The amount of air that must be bled off to restore pressure to its original value is 0.000825 kg. kPa.m³ kg.K

Assume that a raindrop has a volume of 0.05 cm^3 and you need an Avogadro's number of raindrops to fill up the cubic water tank. What is the length of the edge of the tank?