Jason wants to use a Pilates ball as a desk chair. The Pilates ball has a diameter of 65cm, and is filled to a recommended air pressure of 0.9 PSI. What is the average force of the air inisde the Pilates ball pushing out? If the ball is filled with carbon dioxide (CO2) at 22 degrees C, how many molecules of CO2 are in the ball? (Area of a sphere = 4pir^2, Volume of a sphere = 4/3pir^3)

Q: Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is…

A: Given T1=10.8° C + 273.15 = 283.95 K T2 = -43.7° C + 273.15 = 316.85 K   Ideal gas law equation…

Q: pressure exerted by 33 feet of seawater is approximately equivalent to 1 atm. If a group of scuba…

A: 1 feet = 0.3 m Given Depth of water column d = 40 feet Density of sea water = 1026 kg/m3

Q: Suppose there are 100 moles of steam in a sealed container at 105◦C. The container is a box with…

A: The number of moles is, n=100 mol The temperature of a container is, T=105 °C=105+273 K=378 K The…

Q: The atmospheric pressure on the top of Mt. Everest is 0.333 atm and the average temperature is -25.0…

A: The ideal gas is an ideal concept where the force between the gas molecules is neglected and the…

Q: The gauge pressure in your car tires is 2.55 × 105 Pa at a temperature of 35.0°C when you drive it…

A: Given data:  Initial gauge pressure (P1) = 2.55×105 Pa Initial temperature (T1) = 35.0°C = 308 K…

Q: A vacuum pump is used to drain the flooded mine shaft of 20 degrees Celcius water. The pump pressure…

A: Given data: The pump pressure of water, P1=2.34 kPa. The height to which water can be lifted,…

Q: The car tire is filled to an absolute pressure of 2.80 ATM (atmospheric pressure) at a temperature…

A:

Q: A bigh-altitude balloon is partially filled with 3 m of helium at sea level. As the balloon ascends…

A: Boyle's law define that the product of pressure and volume remains constant. P1V1 = P2V2  P1 = 1 atm…

Q: During the pre-flight controls on the F-16 aircraft, the gas pressure of the aircraft tire was…

A: Given data: The initial pressure is P1=200 kPa. The initial temperature is T1=20oC. The final…

Q: Questions to think about: What pressure is present on the top of Mt. Everest? Greater or less than…

A: Given, Pressure and Temperature at Mt. Everest

Q: At 37 m below the surface of the sea (density of 1422 kg/m3 ), where the temperature is 6◦C, a diver…

A:

Q: The pressure in an automobile tire depends on the temperature of the air in the tire. When the air…

A:

Q: You accidentally lose your Helium-filled balloon which floats to the ceiling. The balloon is…

A: Radius of the balloon, R=6 inch 1 inch=0.0254 m 6 inches=0.1524 m Empty mass of the balloon, m'=10g…

Q: diver is at 5 meter depth in a fresh water lake. At that depth, the temperature is 15◦C. The…

A: Hi please find solution to your problem

Q: At 28 m below the surface of the sea (density of 1476 kg/m³), where the temperature is 6°C, a diver…

A: Let V1 be the volume of the air bubble inside the sea and V2 be the volume of the air bubble when it…

Q: I put air in the tires of my car during the summer, while it was 34.9˚C outside (about 94.82˚F). My…

A: From the ideal gas law, pressure, temperature and volume of a gas are related as PV=nRTP is…

Q: Q. 18 : The speed of molecules are given by 2 m/s, 3 m/s, 4 m/s, 5 m/s, and 6 m/s. The mean square…

A: Given,  Let the speed of molecules are given by                  v1 = 2 m/s                v2 = 3…

Q: You're inflating tires on your bike with a manual pump. The volume inside the pump is initially .16…

A:

Q: A fixed mass of a gas is held in an adjustable sealed container at a pressure of 100.0 kPa. If the…

A:

Q: Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is…

A: Given that, Initial temperature (T1)= 22.8°C =( 273.15 + 22.8 ) K  T1= 295.95 K Final temperature…

Q: A vehicle tire is inflated with air initially at 15°C and normal atmospheric pressure. During the…

A: a) Given info : The initial pressure is Pi=1 atm. The initial and final temperaturesare Ti=15°C and…

Q: An airplane passenger has 100cm3 of air in his stomach just before the plane takes off from a…

A: Given:Volume,Vi=100×10-6 m3Prssure,Pi=pa=1.01×105 paPressure drop,Pf=7.50×104 paFind volume will the…

Q: Macroscopic Description of an Ideal Gas. An auditorium dimension 10 m x 20 m x 30 m. How many…

A: The Ideal Gas law is an equation representing the state of a homogeneous mixture of gas, which sets…

Q: bble of air is rising up through the ocean. When it is at a depth of 28.0 m below the surface, where…

A: Given value--- depth = 28 m. initial temperature = 5 degree C.  initially volume = 1.05 cm3 . at…

Q: A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the…

A: Let m be the mass of the air inside the balloon.

Q: The gauge pressure of gas in a balloon decreases from 0.40 × 105 N/m2 to 0.30 × 10 5 N/m2 while the…

A: Given:-  The gauge pressure decreases from P1 = 0.40 x 105 N/m2  to P2 = 0.30 x 105 N/m2 The…

Q: When air expands adiabatically (without gaining or losing heat), its pressure Pand volume V are…

A: Given Volume V = 540 cm3 = 540 m3 Pressure P = 91 kPa = 91 x 103 Pa Pressure changing rate dP/dt =…

Q: The universal gas constant is R = 83014 J / kmol, convert to: A) Calories / Mol * K B) Atm / Mol *…

A: Universal gas constant value in SI unit is 8.314 J K-1 mol-1 or 8314 J K-1 kmol-1 1 calorie=4.184…

Q: A deep-sea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea…

A: a) The expression used to calculate partial pressure of oxygen is P=VVtPt Substitute values in the…

Q: the barometic equation that is pressure as a function of height. Given that the temperature is…

A: Using Barometric equation , we get      P=P0e-MghRT⇒MghRT=lnP0PGiven, air pressure is twice less…

Q: at what pressure the mean square speed of a certain gas of density 1.2kg/m3 will be 2×105m/s?

A: Given data: The density of the gas is ρ=1.2 kg/m3. The arms speed is vrms=2×105 m/s.

Q: At the end of a warm autumn day, you measure the air pressure in your car's tires and write down…

A: Amontons's law is defined as the pressure of a given amount of gas is directly proportional to its…

Q: A cylindrical tank with a diameter of 1.0 m and a length of 3.0 m holds oxygen gas (O2) at a…

A:

Q: A water molecule has a diameter of about 0.275 nm. How many hours would it take for a water molecule…

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: A helium filled weather balloon has a volume of 3.0 m3 at lift off where the air pressure is 1 atm…

A: GIVEN: Volume , V1=3.0 m3 Air pressure , P1=1 atm Temperature , T1=20°C=293 K V2=120…

Q: A closed container of volume V = 12 liters holds a mass m, = 0.858 kg of oxygen. It is known that…

A:

Q: Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is…

A:

Q: An air bubble has a volume of 1.55 cm3 when it is released by a submarine 105 m below the surface of…

A: Answer The expression for the pressure on the bubble in the water is P1= Patm + Pliq Pliq = ρgh…

Q: A thin walled hollow aluminium cube 1.442m on a side contains 19.2kg of oxygen gas (o2) at 0 degrees…

A: Since you have posted a question with multiple subparts, we have solved only first three as per the…

Q: A helium filled weather balloon has a 1m radius at liftoff where air pressure is 3 atm and the…

A: A system of ideal gas obeys the ideal gas equation PV = nRT both in initial and final condition.…

Q: At the same pressure, the ideal gas law is density xtemperature = constant. An old house has only…

A: Given data: The air temperature upstairs is T1=20°C. The density of air is ρ1=1.2 kg/m3.

Q: The concentration of a frictionless fluid flowing through a channel is measured  with a diffusion…

A: CONCEPT:

Q: A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the…

A:

Q: If 1 mol of Argon atoms strike at a wall with an area of 10 cm² at an angle of 90 degrees per…

A:

Q: When air expands adlabatically (without gaining or losing heat), Its pressure P and volume V are…

A: Differentiate the given equation with respect to time.…

Q: The air inside an inflatable stand-up paddle board is 72.0°F. A gauge measures the pressure of this…

A: Using ideal gas equation we can solve the problem as solved below.

Q: A basketball is pressurized to a gauge pressure of PG = 55 kPa when at the surface of a swimming…

A: Gauge pressure,

Q: What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature…

A:

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.