Answered: Determine the pressure at which the…

Science

Chemistry

Determine the pressure at which the mean free path value of Ar is comparable to the diameters of Ar atoms (0.36nm).

Chemistry for Engineering Students

4th Edition

ISBN:9781337398909

Author:Lawrence S. Brown, Tom Holme

Publisher:Lawrence S. Brown, Tom Holme

Chapter5: Gases

Section: Chapter Questions

Problem 5.66PAE

See similar textbooks

Related questions

Q: What is Mean Free Path?

A: Mean free path has to be defined.

Q: Calculate the root mean square velocities of CHalg) molecules at 19°C. 21.3 m/s 389 m/s O 674 m/s…

A: Root mean square velocity can be expressed as Crms=3RTM Crms=root mean squarevelocityR=gas…

Q: Calculate the root mean square velocity of chlorine gas at 40 0C.

A: Answer: Root mean square velocity of Cl2 gas = 331.83 m s-1

Q: Calculate the root mean square velocity and kinetic energy of CO, CO2, and SOz at 298 K. Which gas…

A: Formula of root means square velocity is: v = 3RTM .....(1) where, R= gas constant =…

Q: How is the root mean square velocity of a gas related to its molar mass?

A: The gas molecules constantly and randomly move throughout the volume of the occupied container. The…

Q: Calculate the values of root-mean-square speed, most probable speed, and the average speed for argon…

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

Q: Compute the root-mean-square speed of He molecules in a sample of helium gas at a temperature of…

A: Velocities of different molecules are known as molecular velocities. There are three types of…

Q: Calculate the root mean square velocity of methane at 27 degree Celsius

A: The temperature of the system is given = 27 oC The root mean square speed of the gas can be…

Q: At an altitude of 8 kilometers, at what rate is the atmospheric pressure changing (with respect to…

A: The atmospheric pressure at the given altitude is calculated as shown below.…

Q: Calculate the root mean square velocity of HCl at 273.0 K. Assume ideal gas behavior.

A: The expression for calculating the root mean square velocity is as follows,…

Q: Calculate the root-mean-square velocity for an oxygen molecule at –23 °C.

A: The formula required to calculate root mean square velocity is shown below, Here M is the molecular…

Q: Calculate the root mean square velocity of I2(g) at 379 K.

Q: Calculate the root mean square velocity of I2(g) at 373 K. a) 19.0 m/s c) 6.05 m/s b) 191 m/s d)…

A: From given data T = 373 K Molar mass of I2, M = 253.8 g/mol = 0.253 kg/mol Formula used µ=3RTM…

Q: Determine the root mean square velocity of neon atoms at 25.0 C in m/s.

Q: Calculate the root mean square velocity, in m/s, of He at 273.0 K. Assume ideal gas behavior.

Q: Calculate the root-mean square velocity in centimeters per second of N2 molecules at 270C. Repeat…

Q: Calculate the density of nitrogen at STP. (the answer is suppose to be 1.25g/L)

A: Density is given by the ratio of mass of the substance to that of the volume.

Q: Compute the root-mean-square speed of He molecules in a sample of helium gas at a temperature of…

A: Root-mean-square speed: The speed of a gas particle depends on the temperature of the gas and its…

Q: Calculate the rate of effusion of methane gas to nitrogen gas

A: Given Molar mass of Methane gas = 16 gram/mole Molar mass of Nitrogen gas = 28…

Q: Calculate the root mean square velocity of Rn at 273.0 K. Assume ideal gas behavior.

Q: A hot-air balloon ascends to a height at which the surrounding air pressure is 1/5 of that on the…

Q: How is the kinetic energy of a gas related to temperature? How is the root mean square velocity of a…

A: We know that if heat is not transferred when the two systems are in contact, then it is said to be…

Q: Calculate the root mean square velocity of I2(g) at 373 K.a) 19.0 m/s b) 191 m/sc) 6.05 m/s d) 99.1…

A: Root mean square velocity (rms velocity) Root mean square velocity is directly proportional to the…

Q: Determine the ratios of (i) the mean speeds, (ii) the mean translational kinetic energies of He…

A: The mean speeds of the gas are inversely related to its square root of the molar mass (mm). For…

Q: It takes 243 s for 4.46 × 10−5 mol Xe to effuse through a tiny hole. Under the same conditions, how…

A: Graham's law of effusion It states that the rate of effusion or diffusion of a gas is inversely…

Q: A given sample of gas has a root mean square speed of 1,363 kilometers per second at 298 K. What is…

A: Root Mean Square (RMS) speed :- The relationship between RMS speed (urms) and temperature is given…

Q: If neon gas travels at 400 m/s at a given temperature, calculate the velocity of butane, C4H10, at…

A: Since the speed of molecule is given by where vrms = root mean square speed of the molecule R =…

Q: How can we calculate the root mean square velocity of gaseous xenon atoms at 25 °C?

A: Root mean square velocity Root mean square velocity is directly proportional to square root of…

Q: 5B Use the distribution function for molecular speeds to derive an expression for the average of the…

A: we need to determine <v2>

Q: Compute the root-mean-square speed of H2 molecules in a sample of hydrogen gas at a temperature of…

A: By definition the root mean square velocity is given as, Vr.m.s=3RTM where R is the gas constant…

Q: Determine the ratios of (i) the mean speeds, (ii) the mean translational kinetic energies of H2…

A: Given Temperature is constant. T = 20oC Formula Mean speed = 8RTπM Mean Translation kinetic…

Q: Determine the root mean square velocity of oxygen gas (in m/s) at a temperature of 190.2 °C.

Q: Calculate the root mean square velocity, in m/s, of Ar at 273.0 K. Assume ideal gas behavior.

A: μrms = (3RT/M)½μrms = root mean square velocity in m/secR = ideal gas constant = 8.3145…

Q: Compute the root-mean-square speed of Ne molecules in a sample of neon gas at a temperature of 202…

A: Speed can be defined as the distance covered by an object per unit of time. We can also say that…

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: The root-mean-squared speed of CH4 is 846 m s^-1. What is the temperature of the gas?

A: The formula of the root-mean-squared velocity is as gievn below Where,Vrms = the root-mean-squared…

Q: Calculate the root mean square velocity, in m/sof carbon dioxide molecules at 100.0 degrees *c

A: First, we will write down what has been given in the question, Temperature (T) = 100.0 °C = 273+100…

Q: Determine the root mean square velocity of He atoms at 25.0°C in m/s.

A: Root mean square velocity can be calculated by using the formula u = 3RTM u = RMS velocity R = Gas…

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 that: b = 0.0322 dm3 / mol = 0.0322 x 10-3 m3 / mol…

Q: Calculate the root-square-mean velocity of O2 molecules with an average kinetic energy of 10 kj /…

A: Average kinetic energy of the gas molecule is given by (3/2)kT Root square mean velocity of the gas…

Q: (a) Compute the root-mean-square speed of H2 molecules in hydrogen at a temperature of 300 K.(b)…

A: The root mean square speed (μrms) of a substance connects the temperature (T) and the molar mass…

Q: Calculate the root mean square velocities of CH4 (g) molecules at 19°C. 21.3 m/s 389 m/s 674 m/s…

Q: Calculate the number of methane molecules at 298 K and 1 torr that strike a 1.0 cm^2 surface in one…

A: The Methane is gas so for the calculation of Number of methane molecules ideal gas equation is…

Q: Use the kinetic theory of gases to determine the molar mass of molecules with root-mean-square speed…

Q: Calculate the root-mean-square speed of Ne atoms at the temperature at which their average kinetic…

A: Given :- Average kinetic energy of Ne = K = 4.33 kJ/mol = 4330 J/mol Root mean square speed of Ne…

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

Q: if the density of water is 1.00g/ml and desity of density of mercury is 13.6g/mL,how high a coloumn…

A: Since the pressure = 1 atm ( standard atmospheric pressure)…

Concept explainers

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.

Question

Determine the pressure at which the mean free path value of Ar is comparable to the diameters of Ar atoms (0.36nm).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

What is the ratio of the average kinetic energy of a SO2 molecule to that of an O2 molecule in a mixture of two gases? What is the ratio of the root mean square speeds, urms, of the two gases?
Oxygen Consumption If 5.00 L of hydrogen gas,measured at a temperature of 20.0°C and a pressure of80.1 kPa, is burned in excess oxygen to form water, whatmass of oxygen will be consumed? Assume temperatureand pressure remain constant.
Given that 1.00 mol of neon and 1.00 mol of hydrogen chloride gas are in separate containers at the same temperature and pressure, calculate each of the following ratios. (a) volume Ne/volume HCI (b) density Ne/density HCI (c) average translational energy Ne/average translational energy HCI (d) number of Ne atoms/number of HCl molecules
The density of liquid oxygen is about 1.4 g/cm3. Vaporized at 00C and 760 torr, this same 1.4 g occupies 980 cm3, an expansion of 700 times the liquids volume.
Given that a sample of air is made up of nitrogen, oxygen, and argon in the mole fractions 0.78 N2, 0.21 O2, and 0.010 Ar, what is the density of air at standard temperature and pressure?
Heavy water, D2O (molar mass = 20.03 g mol-1). can be separated from ordinary water, H2O (molar mass = 18.01), as a result of the difference in the relative rates of diffusion of the molecules in the gas phase. Calculate the relative rates of diffusion of H2O and D2O.