A weather balloon is designed to expand to a maximum radius of 22 m at its working altitude, where the air pressure is 0.030 atm and the temperature is 200 K. If the balloon is filled at atmospheric pressure and 309 K, what is its radius at liftoff?

Q: Hydrogen molecules, with a molar mass of 2.016 g/mol, in a certain gas have an rms speed of 470 m/s.…

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Q: (a) How many atoms of helium gas fill a spherical balloon of diameter 29.8 cm at 23.0°C and 1.00…

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Q: By counting squares in the following figure, estimate the fraction of argon atoms at T = 300 K that…

A: Given speeds of argon atoms b/w you m/sto 600 m/s

Q: A mass m of helium gas is in a container of constant volume V. It is initially at pressure P and…

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Q: Air molecules (average molar mass 29 g/mol) have a temperature of 300 K. What is the ratio of the…

A: Given: Air molecules Molar mass M = 29g/mol Temperature T = 300K

Q: Two moles of an argon gas are at a temperature of 350 K. Calculate the average kinetic energy per…

A: number of moles (n) = 2 Temperature (T) = 350 kelvin

Q: An 18.0 L container holds 16.0 g of oxygen gas (O2) at 45.0 °C. (a) Look up the molar mass of oxygen…

A: One mole of oxygen gas O2 weighs 32.0 g. Thus, 1 g of O2 contains 132 mole. Thus, 16 g of O2…

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: An ideal gas has initial volume of 0.550 m3 and pressure of 9.65 x 104 Pa. (a) If the initial…

A: Volume, V = 0.550 m³ Pressure, P1 = 9.65×10⁴ Pa Initial temperature, T1 = 281 K Final temperature,…

Q: Average atomic and molecular speeds (Vrms) are large, even at low temperatures. What is Vrms for…

A: Just one degree above the temperature at which helium liquefies, at 5.00 K, we must determine the…

Q: Hydrogen molecules, with a molar mass of 2.016 g/mol, in a certain gas have an rms speed of 490 m/s.…

A: The objective of the question is to find the temperature of a gas given the root mean square (rms)…

Q: By counting squares in the following figure, estimate the fraction of argon atoms at T = 300 K that…

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Q: Three moles of an argon gas are at a temperature of 305 K. Calculate the average kinetic energy per…

A: (a) Calculate the average kinetic energy per atom. KE=32kT    =38.313052    = 3801.83 J Hence, the…

Q: . A high-vacuum system in a physics research lab can achieve a pressure as low at 1.00x10-7 N/m2 at…

A: Pressure p = 1.00 x 10^(-7) pa Temperature T = 20 deg celcius = 20+ 273 K = 293k Volume V = 1 cm³=…

Q: One mole of oxygen gas is at a pressure of 5.05 atm and a temperature of 24.5°C. (a) If the gas is…

A: The initial volume(V) of the oxygen gas is given by the ideal gas equation, that is, V = nRTP, where…

Q: The density of air under normal conditions (temperature To-273 K, pressure po=100 kPa) is 1.29 kg/…

A: Given data: Density of air under normal conditions, ρ=1.29 kg/m3 Temperature, T0=273 K Pressure,…

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: A tire is inflated to a gauge pressure of 2.00x10^5 Pa when the temperature is 20°C. Later in the…

A: SOlution: Given that Pg = 2x105 kPa T1=20 C+273=293 K T2 = 38 C +273 = 311K

Q: Vacuum system can achie 273 K. How many atoms

A: Pressure,(P)=1 x 10-7 Pa -----(1) [Given] Temperature,(T)=273 K -----(2) [Given] Volume,(V)=1…

Q: A sealed cubical container 30.0 cm on a side contains a gas with three times Avogadro's number of…

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Q: At what temperature are helium gas atoms the same effective speed as hydrogen gas molecules at 20 °…

A: Given data The temperature of the hydrogen gas is TH=20oC   The effective speed of the hydrogen gas…

Q: A container having a volume of 2.3 m3 holds 9 moles of helium gas at 192°C. If the helium behaves…

A: The average kinetic energy (KE) per particle in an ideal monoatomic gas at temperature T (in Kelvin)…

Q: Average atomic and molecular speed ( v rms) are large, even at low temperatures. What is v rms (in…

A: Given  Temperature, T = 8.0 Kelvin

Q: A hot air balloon with diameter 20 m initially contains air at STP on a cool September morning. When…

A: Have a look

Q: What is the average kinetic energy of a gas at room temperature (295 K)? (It's not the temperature,…

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Q: Do it

A: Given that:Dry ice =25 g Volume of container : V = 2×104 cm3 : V = 2×10-2 m3Temperature : T =…

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

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Q: A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure.…

A: Here process is adiabatic compression and V2=V12 , P2=1 atm and for hydrogen (a diatomic gas) γ=1.4

Q: A particle on the surface of the Earth can "escape" the Earth's gravitation and continue to move…

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Q: Some incandescent light bulbs are filled with argon, because it is an inert gas. An argon atom has…

A: Given value--- mass of gas = 6.63 × 10-26 kg. Temperature = 2350 K. We have to find--- What is…

Q: A hollow container is filled with an ideal gas. the container is designed to maintain a constant…

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Q: Problem 7: Hydrogen molecules, with a molar mass of 2.016 g/mol, in a certain gas have an rms speed…

A: Given Molar mass of the hydrogen is molecule is given as M=2.016 g/mol=2.016×10-3 kg/mol rms speed…

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: The rms speed of a certain sample of ammonia molecules, with a molecular weight of 17 g/mol, is 328…

A: The rms speed of gas molecules is 3RTM where R is the ideal gas constant, T is temperature, M is the…

Q: Nitrogen gas is at 300° C temperature. The temperature (in K) at which the rms speed of a H2…

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

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Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.