The density of air under normal conditions (temperature T0=273 K, pressure p0=100 kPa) is 1.29 kg/ m3 . Calculate the average molar mass of air.

Q: The maximum in the Maxwell–Boltzmann distribution occurs when df(v)/dv = 0. Find, by…

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Q: n²a In the van der Waals equation, (P +) (v – nb) = nRT, explain why a term is added to %3D the…

A: Since you have posted multiple unrelated questions, we are entitled to answer the first only. a)…

Q: In an experiment to measure the molar mass of a gas, 250 cm3 of the gas was confined in a glass…

A: It is given that,

Q: Calculate the partial pressure in [bar] of N; in air consisting of N3, Oz, and Ar assuming that the…

A: Answer: This question is based on the density form of ideal gas equation which is shown below:…

Q: vessel of volume 24.4 dm3 contains 1.0 mol H2 and 2.5 mol N2 at 298.15 K. Calculate (a) the mole…

A: Given, Volume (V) = 24.4 L Temperature(T) = 298.15 K Moles of N2(n1) = 2.5 mol Moles of H2(n2)  =…

Q: Assume that a spherical balloon is filled with Hydrogen gas, H2, until its radius is 1.00 m at 25oC…

A: We are given  radius of ballon =1 mtemperature =25°CPressure =101 kPa

Q: the variation of AG with variation in (i) temperature and pressure (ii) pressure

A: In the question we have to discussion the variation ∆G with variation in temperature pressure and…

Q: At 10.0C and 102.5 kPa, the density of dry air is 1.26 gL. What is the average "molar mass" of dry…

A: dear student, since you have asked multiple questions but according to guidelines we will solve 1st…

Q: 2.46 At 300 K, the virial coefficients (B) of N2 and CH4 are -4.2 cm³ mol- and -15 cm³ mol-, re-…

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Q: If the molar composition of dry air is 78% N2, 21% O2 and 1% Ar, calculate the partial pressure of…

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Q: 4. A vessel of volume 0.2 m3 contains Nitrogen at 1,013 KPa and 15° C. If 0.2 kg Nitrogen is now…

A: Ideal gas eqation is general gas equation which obeys gas laws under all conditions of temperature…

Q: The second virial coefficient of methane can be approximated by the empirical equation B(T) = a +…

A: Introduction:  Since we know that Boyle temperature is that real gas starts behaving ideally .At…

Q: Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 bar L2…

A: Virial equation is the extended form of Vander Waal equation using binomial theory.

Q: Determine the density of argon gas at room temperature (25oC) and 100 kPa.

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Q: Assuming that air may be treated as a mixture of ideal gases which has a mass composition 23.2%…

A: As per our guidelines we can only solve first question, please post other questions as next…

Q: Use the virial equation of state to calculate the pressure exerted by 1.00 mol CH4, at 273 K…

A: GIVEN: Vm=1.00 cm3 =0.001 Litre R=0.082057 L atm K-1mol-1 T=273K n=1 mol CH4  B2(T)=-53.6 cm3…

Q: Gallium melts just above room temperature and is liquid overa very wide temperature range 130–2204…

A: In a barometer, the relationship between pressure and density is given as :

Q: Derive an expression for ⟨vn⟩1/n from the Maxwell–Boltzmann distribution of speeds.

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Q: Use the ideal gas law and Dalton’s law of partial pressures to prove that the mole fraction of gas…

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Q: Estimate the molar volume of CO2 at 500 K and 100 atm by treating it as a van der Waals gas? a =…

A: Given pressure = 100 atm  Temperature = 500K  a= 3.610 dm⁶atm/mol²  b = 4.29×10-² dm³/mol  We have…

Q: One of the steps to sweeten sour gas using the Claus process is reacting hydrogen sulfide gas with…

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Q: In 2021, 7.5 x 1014 mol = 750,000,000,000,000 mol of CO2 into the atmosphere worldwide. At standard…

A: Given: Pressure = 1 atm. Temperature = 273.15 K And moles of CO2 = 7.5 × 1014 mol.

Q: A flask containing 121 cm3 of hydrogen was collected under a pressure of 29.2 kPa. What pressure…

A: Pressure is inversely proportional to volume. As pressure increases, volume decreases and vise…

Q: P1A.5 Deduce the relation between the pressure and mass density, p, of a perfect gas of molar mass…

A: We know that Density(ρ)=Mass(m)Volume(V)    ....eq 1 Also, Number of moles(n)=Given Mass(m)Molecular…

Q: 4. A certain gas obeys the equation PV, = RT + a,P + a¿P² where Vm is the molar volume, and a, and…

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Q: At what pressure does the mean free path of argon at 25 °c become comparable to the diameter of a…

A: T = 298 K λ= 1.0 dm3 = 0.1 m σ = 0.36 nm2 = 0.36 x 10-18 m2 λ=Rt2σP P=Rt2σλ

Q: On the basis of Eq. 1.80 with ß = 1/k,T, derive an expression for the fraction of molecules in a…

A: Given that, β=1kBTdPx=Be-mux2β2dux

Q: ind the mass of ammonia (NH3) in a 5 m^3 vessel having a pressure of 120 kpa and 20C.

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Q: A 0.479 g sample of nitrogen, oxygen or neon gas occupies a volume of 265 mL at 157 kPa and 20°C.…

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Q: How many moles of an ideal gas occupy 14.2L at 298K and 1.00atm (1.01bar) pressure?

A: Ideal gas law states that the product of volume (L) and pressure (atm) is equal to the product of…

Q: Given that the mass density of air at 0.987 bar and 27 °C is 1.146 kg m−3, calculate the mole…

A: Ideal gas assumption is:

Q: g+ 028) 2H20(g) Kp = 1.8 x 1037 at 600.0 K

A: Change in Gibbs Free energy ∆G° = -134.84kJ

Q: Under which conditions would you expect argon to behave ideally? In 150 K, 100 kPa or in 400 K, 100…

A: Generally a gas behave like ideal gas when intermolecular forces are less significant compare to…

Q: At what pressure does the mean free path of argon at 25°C become comparable to the size of a 1 dm3…

A: Given; Temperature (T) = 25°C = 298 K  Volume of vessel = 1 dm3  Volume of sphere (V) = (4/3)×π×r3…

Q: a 1.2 mol sample of oxygen is placed in a 20L tank at 100kPa, whta is tthe tank temperature?

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Q: One of the more commonly used compressed gases is nitrogen (N2), often in large metal cylinders. If…

A: Number of moles = 711 mol. Pressure = 5.3 × 104 kPa   ....Or  Pressure = 53000 kPa   ....Or  because…

Q: To what temperature must a sample of helium gas be cooled from 22.2 °c to reduce its volume from…

A: 1.00 dm3 = 1000 cm3 By Charles law : T2T1 =V2V1  T2(22.2 + 273.15) = 100 cm31000 cm3   T2 = 29.535 K…

Q: A flask containing 161 cm ^ 3 of hydrogen was collected under a pressure of 29.5 kPa. What pressure…

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Q: A 5.00 g of N2 gas in a 4.00 dm^3 vessel by a pressure of 121.0 kPa. What is the temperature of the…

A: Given: Mass of N2 = 5.00 g. Volume of vessel = 4.00 dm3 = 4.00 L…

Q: At what pressure does the mean free path of argon at 20 °C become comparable to the diameter of a…

A: T = 20 °C = 293 K d = 100 cm3 σ = 0.36 nm2 = 0.36 x 10-9 m2 λ = 100 cm = 1 m Using Formula  λ=KT2σP1…

Q: Gallium melts just above room temperature and is liquid overa very wide temperature range (30–2204…

A: In a barometer, the relationship between pressure and density is given as :

Q: The mass density of phosphorus vapor is 0.6388 kg m-3 at 100°C and 1.60 kPa, which corresponds to a…

A: Solution - Mass density - The mass density of an object is defined as its mass per unit volume. Mass…

Q: The mole fraction of krypton in dry air near sea level is 0.00000114, where the molar mass of…

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Q: What is the mass of air contained in a room 6 m × 10 m × 4 m if the pressure is 100 kPa and the…

A: The volume of the room is equal to the volume of the cuboid. Volume of room = Volume of cuboidVolume…

Q: Explain the significance of the constant a and b in the van der Waals eqaution state

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.