A helium balloon is used to lift a load of 110 N. The weight of the balloon's skin is 50 N and the volume of the balloon when fully inflated is 32m3. The temperature of the air is 0°C and the atmospheric pressure is 1 atm. The balloon is inflated with sufficient helium gas that the net force on the balloon and its load is 30 N. Neglect changes of temperature with altitude. (a) How many moles of helium gas are contained in the balloon? (b) At what altitude will the balloon be fully inflated? (c) Does the balloon ever reach the altitude at which it is fully inflated? (d) If he answer to (c) is affirmative, what is the maximum altitude attained by the balloon?

Q: An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During…

A: The problem can be solved using the ideal gas law P1V1T1=P2V2T2

Q: To pump air into a tank, measured at 5.92 × 10^5 Pa gauge pressure, a cylindrical air pump with a…

A:

Q: An ideal gas is enclosed in a vessel. Its kinetic energy per unit volume is E. the pressure exerted…

A: The ideal gas is enclosed in a vessel and it's kinetic energy per unit volume is E, find the…

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: A diver at the bottom of a lake, where the water temperature is 4.0 °C, observes a bubble of gas…

A: The pressure of the gas bubble at the bottom of the lake is 5.1 x 105 Pa. The radius of the gas…

Q: An expandable cylinder has its top connected to a spring with force constant 2.00 x 10³ N/m (see…

A:

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 30.0 cm at 20.0°C and 1.00…

A:

Q: A weather balloon is designed to expand to a maximum radius of 23 m at its working altitude, where…

A: Given:-  The maximum radius of the balloon is r1 =23 m  The pressure P1 = 0.030 atm and temperature…

Q: A 5.00 L vessel contains nitrogen gas at 24.0°C and a pressure of 2.80 atm. Find values for the…

A: Volume of the vessel V=5.00 L =5.00×10-3m3 temperature T=24.0oC=24+273=297K pressure…

Q: Calculate the number of moles of air in each cylinder.

A: Given  Volume  of the cylinder = V=0.25 m³ Pressure of the cylinder = P = 20*10⁶ pa Temperature of…

Q: There are 1.5 times as many molecules as Avogadro's number at a temperature of 1.7°C inside a sealed…

A:

Q: (a) An ideal gas occupies a volume of 2.4 cm3 at 20°C and atmospheric pressure. Determine the number…

A: The ideal gas equation is given by: PV=nRT, where P is pressure, V is volume, Tis temperature, and n…

Q: A spherical balloon of volume 4.01 x 10° cm contains helium at a pressure of 1.25 x 105 Pa. How many…

A: SOlution: Given that V = 4.01x103 cm3 P = 1.25x105 Pa KE = 3.6x10-22 J

Q: A bicycle pump has a barrel that is 75.0 cm (about 30 in.) long. If air is drawn into the pump at a…

A: Given that:During upstroke:L1=75 cm P1=1.01 atmAt downstroke, let the length of the air enclosed in…

Q: 10²⁰ molecules of an ideal gas strike a wall for one second at an angle of 30° against the normal…

A:

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: A spherical balloon of volume 3.90 x 10³ cm³ contains helium at a pressure of 1.17 x 105 Pa. How…

A:

Q: A cubic container of volume 2.30 L holds 0.535 mol of nitrogen gas at a temperature of 30°C. What is…

A:

Q: cylinder is closed by a piston connected to a spring of constant 2.40 x 103 N/m. With the spring…

A: This is a problem regarding the transformation of an ideal gas. The ideal gas equation is:…

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 29.6 cm at 19.0°C and 1.00…

A:

Q: A container with volume 0.2 m³ contains of 2.5 moles of oxygen gas. Given that the mola mass of…

A: No of moles, n= 2.5 moles Volume= 0.2 m3 Molar mass of oxygen = 16 g/mol or 16 x 10-3 kg/mol

Q: A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 1.40 x 107 N/m² and a…

A: Given data: Initial volume, Vi=70 L Initial pressure, Pi=1.40×107 N/m2 Initial temperature,…

Q: A circular sheet with a diameter of 8.00 cm is cut from an aluminum sheet at room temperature. If…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: When a.22-caliber rifle is fired, the expanding gas from the burning gunpowder creates a pressure…

A: Given: The mass of the bullet is m = 2.6 x 10-3 kg The initial velocity of the bullet is u = 0 The…

Q: In the lungs the respiratory membrane separates tiny sacs of air (pressure 1.00*10^5 Pa) from the…

A: To solve this question we will consider that the alveoli is spherical in shape. According to ideal…

Q: In the lungs, a thin respiratory membrane separates tiny sacs of air from the blood in the…

A:

Q: In 1992, a Danish study concluded that a standard toy balloon, made from latex and filled with…

A: Given, The pressure of a balloon in a standard atmosphere, P1=105 Pa The initial volume of the…

Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 30.6 cm at 23.0°C and 1.00…

A: The volume of the spherical balloon is

Q: A runner weighs 550 N and 71% of this weight is water. (a) How many moles of water are in the…

A:

Q: A container contains a certain amount of oxygen gas at a temperature of 300 K. The average speed of…

A:

Q: The cylinder in the drawing contains 4.07 mol of an ideal gas. By moving the piston, the volume of…

A:

Q: The pressure of sulfur dioxide (SO2) is 2.44 x 104 Pa. There are 433 moles of this gas in a volume…

A: Given: The pressure of the gas is 2.44x104 Pa. The volume of the gas is 58.5 m3. The number of the…

Q: A fixed amount of gas occupies a volume of 1.75L and exerts a pressure of 95kpa on the walls of its…

A:

Q: Three moles of an ideal gas are in a rigid cubical box with sides of length 0.300 m. (a) What is the…

A: We are aware of the side's 0.30 m length, its six sides, its 20oC temperature, and its three moles…

Q: When the number density of gas molecules increases, there is a decrease in their mean free path.

A: The average distance between two successive collisions is the mean free path . it is denoted by l.

Q: A 7.00-L vessel contains 3.50 moles of gas at a pressure of 1.60 × 106 Pa. Find (a) the temperature…

A: Given: Volume of vessel (V) = 7.0 L. Moles of gas (n) = 3.5 moles. Pressure of gas (P) = 1.6×106 Pa.

Q: A 2-liter cylinder with a piston is used in a constant-pressure thermometer. The mass of the gas is…

A: Given, Maximum volume=2L V1=0.850LV2=0.435L T1=1000CT1=100+273T1=373k T2=00CT2=273k

Q: The density of helium gas at 0°C is po = 0.179 kg/m³. The temperature is then raised to T = 160°C,…

A: Density is the ratio of the mass to the volume of the gas. The density of the gas is depends on the…

Q: On a chilly 20◦F day you take a deep breath, filling your lungs with a volume of 4L. The air warms…

A:

Q: Two glass containers, of equal volume each hold a mole of gas. Container 1 is filled with hydrogen…

A: