At what pressure does the mean free path of argon at 20 °C become comparable to 10 times the diameters of the atoms themselves? Take σ = 0.36 nm2.

Q: What is the temperature (in K) of a sample of nitrogen with an root mean- square velocity of 35.0…

A: Given data -  root mean square velocity, μrms = 35.0 m/s  molar mass of nitrogen, M = 28 g/mol  =…

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

A: a). First we have to find the diameter of container, The volume of a spherical container V is given…

Q: At what pressure does the mean free path of O2 at 35degreesC become comparable to 10 times the…

A: Answer -

Q: 14 g of nitrogen gas were reacted with exces hydrogen. Calculate the volume of ammonia produced…

A: moles of N2 reacting = mass / molar mass = 14/28 = 0.5  Since the reaction taking place is given by…

Q: A vessel of volume 22.4 dm3 contains 2.0 mol H2 and 1.0 mol N2 at 273.15 K. Calculate (a) their…

A: (a) According to unit conversion, 1 L is equivalent to 1 dm3. So, 22.4 dm3 is equivalent to 22.4 L.…

Q: What pressure is exerted by 0.186 mol N2 in a 1.11 L steel container at 58.5 °C?

A: Given is number of moles of nitrogen gas is 0.186 mol  Temperature = 58.5°C + 273 = 331.5K Volume is…

Q: The rate of effusion of N2 gas through a porous barrier is observed to be 1.34 x 10 mol/h Under the…

A: A famous chemist “Thomas Graham” stated that the rate of effusion of any gas depends on molar mass…

Q: The energy of the van der Waals bond, which is responsible for a number of the characteristics of…

A: (a) It is given that the van der Waals bond energy for water is 0.50 eV. The expression for…

Q: What effect does capillary action have on the reading of a manometer with uniform diameter?

A: The capillary action is the best way (analytical technique) to perform the reactions of the HPLC.…

Q: What is the root mean square speed (in m/s) of nitrogen at 26.3oC?

A: Given, Molecule  = nitrogen  (N2) Temperature = 26.3 °C =(26.3+273)K = 299.3 K

Q: Calculate the root mean square speed of helium atoms and nitrogen molecules in m/s at 25°C

A:

Q: The density of a sample of NH3(g) at a pressure of 1.00 atm is 0.946 g/L. What is the…

A: Given that -  Pressure of ammonia = 1.00 atm  Density of ammonia = 0.946 g/L  Temperature is -  PM =…

Q: Calculate the root-mean-square speed of molecular chlorine in m/s at 21.0°C

A:

Q: The root-mean-square speed of CO at 121.7 °C is m/s.

A: We know the root mean square(r.m.s.) speed of a gaseous molecule is given as-

Q: At what pressure will the mean free path in room-temperature (20∘C)(20∘C) nitrogen be 1.3 mm ?

A: Mean Free Path is the average distance traveled by a moving molecule between collisions. N2 is a…

Q: Calculate the density of Oxygen under the condition of -STP -1.00atm and 25.0 degrees Celcius.

A:

Q: At 100 °C and 16.0 kPa, the mass density of phosphorus vapour is 0.6388 kg m−3. What is the…

A: Given: The temperature and pressure of vapors of phosphorus is 100.0°C and 16 kPa, respectively. The…

Q: 23.1 mL Ne (g) is effected from a small hole to the vacuum in 5.45 seconds. In how many seconds does…

A:

Q: Calculate the diameter and the mean free path of argon atoms if the number of collisions made by a…

A:

Q: It took 6.3 minutes for 25 mL of argon to reach the end of an effusion tube with a porous barrier.…

A: This question is based on Graham's law of effusion, which states that the lighter molecules will…

Q: Calculate the root mean square speed of hydrogen gas molecules at 125oC degrees Celsius ____ m/s

A: Given, hydrogen gas molecules at 125°C Temperature =125°C =(125+273.15) K =398.15 KMolar mass of…

Q: If He(g) has an average kinetic energy of 9030 J/mol under certain conditions, what is the root mean…

A: The average kinetic energy of He (g) is 9030 J/mol. The expression of kinetic energy is shown below.

Q: On a single plot, qualitatively sketch the distribution ofmolecular speeds for (a) Kr(g) at -50 °C,…

A: The average velocity and root mean square velocity of gas molecules for a gas of molar mass M at…

Q: what pressure does the mean free path of argon at 25°C become comparable to the diameters of the…

A:

Q: If He(g) has an average kinetic energy of 7890 J/mol under certain conditions, what is the root mean…

A:

Q: flask containing 137 cm3 of hydrogen was collected under a pressure of 22 kPa. What pressure would…

A: Boyle's law : According to Boyle's law, At constant temperature, Pressure varies inversely with the…

Q: Calculate the value of the root-mean-square speed of ozone molecules in the stratosphere, where the…

A: The formula of the root-mean-squared velocity is in the figure whereWhere,Vrms = the…

Q: Could 131 g of xenon gas in a vessel of volume 1.0 dm3 exert a pressure of 20 atm at 25 °C if it…

A: Ideal gases are hypothetical gases which do have real existence. A gas can behave ideally at low…

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: The root mean square speed of H2 molecules at 25 °C is about 1.6 km/s. What is the root mean square…

A: The root mean square velocity of a particle is defined as the square root of the average of the…

Q: A determination of the density of a gas or vapour can provide a quick estimate of its molar mass.…

A: The ideal equation for gas is given by,                                               PV = nRT…

Q: What volume does 12.5 g of argon gas at a pressure of 1.05 atmand a temperature of 322 K occupy?…

A: Ideal gas equation The equation that gives the relationship between pressure, volume and temperature…

Q: The diameter of a Ne atom is 140 pm. What is the mean free path in nm of 0.5 mol Ne confined in 5 L…

A:

Q: 1. (a) Could 131 g of xenon gas in a vessel of volume 1.0 dm 3 exert a pressure of 20 atm at 25°C if…

A:

Q: The diameter of an Xe atom is 216 pm. What is the mean free path in nm of 0.75 mol Xe confined in 7…

A: Given Values: The diameter of Xe atom is 216 pm The mole of Xe is 0.75 and volume is 7 L and…

Q: Calculate the mass of water vapour present in a room of volume 400 m3 that contains air at 27 °C on…

A: It is given that a room has a volume of 400 m3 and has a temperature of 27°C and the humidity…

Q: Since the value of the van der Waals constant b for argon is 0.0322 dm3 / mol, what is the radius of…

A: Given , vander waals constant, b = 0.0322 dm3/mol = 3.22 x 10-5 m3/mol  Radius of Ar atom ,r  = ?

Q: 2. The parameter "a" in the Van der Waals equations (a) the strength of the attractive forces…

A: Step 1) The Vander wall equation of state is an equation of state which generalize the ideal gas…

Q: At what pressure does the mean free path of Argon at 298 K become comparable to the size of a 1.000…

A: Given data,Temperature=298KDiameter=0.339nmwe know,1 nm=10-9mtherefore,0.339nm=0.339×10-9m

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: Calculate the root-mean-square speed of molecular chlorine in m/s at 25.0°C.

A: The room-mean-square-velocity: The root-mean-square (RMS or rms) is defined as the square root of…

Q: At what pressure (in Pa) does the mean free path of argon at 25°C become comparable to the diameters…

A:

Q: A 1.50-liter sample has a pressure of 138 kPa at 12°C. What temperature would this sample be if it…

A:

Q: The mass density of a gaseous compound was found to be 1.23 kg m−3 at 330 K and 20 kPa. What is the…

A:

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: Determine the root mean square velocity of chlorine molecules at 25.0 C in m/s.

A: Temperature =25°C Used formula- U(rmx)=√(3RT/M) Molar mass of Cl2=70.906g/mol

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.