A 1.0 dm3 glass bulb contains 1.0 x 1023 H2 molecules. If the pressure exerted by the gas is 100 kPa. what is (a) the temperature of the gas, (b) the root mean square speeds of the molecules? (c) Would the temperature be different if they were O2 molecules?

Q: To what temperature must 76.3 g of krypton be raised in order to have the same rootmean-squared…

A: Root mean square speed of gas molecules can be calculate from the following formula

Q: Calculate the root mean square speed of nitrogen gas molecules at 0oC degrees Celsius.  m/s

A: The question is based on the concept of gases. we have been given nitrogen gas & its…

Q: Calculate the root-mean-square speed of the molecules in a sample of Cl2 gas (M = 0.0709 kg/mol) at…

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

Q: Calculate the pressure exerted by 0.28 g of sulfur hexafluoride (SF6), a colorless, odorless,…

A: Introduction: Pressure: Pressure is define as force applied in a body. The force is applied…

Q: Determine the root-mean-square speed (in m/s) of SF6 molecules at 137.1 Torr and 22.17 °C?

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

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: Could 25 g of argon gas in a vessel of volume 1.5 dm3 exert a pressure of 2 bar at 30 oC it is…

A: (a) Given data contains, Mass of argon is 25g. Volume is 1.5 dm3. Pressure is 2 bar. Temperature is…

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

A: The molecules of gases are in random motion. The speed of the molecules is affected by the…

Q: What is the root-mean-square speed of CO at 113 degrees Celsius?

A: Temperature = 113 C =(113+ 273) K =386K Molar mass of CO  = 28.01 g/mol

Q: If He (g) has an average kinetic energy of 8710 J/mol under certain conditions, what is the root…

A: The root mean square speed of O2 (g) molecules is calculated in step two.

Q: What is the mean speed, K, of N2 molecules in air at 25°C?

A:

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: At what pressure does the mean free path of argon at 20 °C become comparable to 10 times the…

A:

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: The root-mean-square speed of molecules of a certain gas is 516 m/s at 300 K. What would this speed…

A: The root means square speed of molecules of certain gas is given 516m/s at 300 k We have to find out…

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: 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: Use the Maxwell–Boltzmann distribution of speeds to estimate the fraction of N2 molecules at 400 K…

A: The expression for Maxwell's speed distribution is shown as follows: dNcN=4πM2πRT32c2 exp-Mc22RTdc…

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: The critical constants of ethane are pc = 48.20 atm, Vc = 148 cm3 mol−1, and Tc = 305.4 K. Calculate…

A: Given, the critical constant of ethane is ,Pc =48.20 atm , Vc =148 cm3  and Tc =305.4 K we are asked…

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

A:

Q: What is the root mean speed in m/s of O2 at 15°C?

A:

Q: What is the the root-mean-square speed of H2 molecules at 15.4 oC?

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

Q: . Compare the root-mean-square speed of helium atomsnear the surface of the sun, where the…

A:

Q: 1.1(a) (a) Could 131 g of xenon gas in a vessel of volume 1.0 dm³ exert a pressure of 20 atm at 25°C…

A:

Q: 3. A newly launched whipped cream product used nitrous oxide (N20) as a propellant in their whipped…

A: P1 = 60.75 kPa = 60750 Pa P2 = ? T1 = 313.15 K  T2 = 94.43 K  1 kPa = 7.50062 mmHg

Q: Methane CH4 is a gas at room temperature. What is its root mean square velocity

A: Root mean square velocity can be calculated by using the following formula:

Q: What is the root mean speed in m/s of I2 at 105°C? (write the solution without decimals)

A: Given: Temperature, T=105∘C = 273+105 K                                       =378K also we know,…

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: Calculate the root-mean-square speed of an O2 molecule with an average kinetic energy of 6.2x10^-21…

A: The average kinetic energy of O2 is 6.2×10-21. The given temperature is 25˚C   The conversion of ˚C…

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: The atmosphere of Mars is mostly CO2 (molar mass 44.0 g/mol) under a pressure of 650 Pa, which we…

A: Introduction :  We have to calculate RMS and density .

Q: If it takes 3.52 seconds for 10.0 mL of helium to effuse through a hole in a container at a…

A: Given : Time required by helium to effuse = 3.52 s Volume of helium i.e He effused = 10.0 mL And…

Q: If it takes 12.0 hours for a volume of nitrogen, N2 to effuse through pores in a balloon, how long…

A:

Q: What is the root mean square velocity of O2 at 375 K? Where R is the ideal gas constant(8.314 J/mol…

A: Interpretation-  To determine the root mean square velocity of  O2 at 375 K? Where R is the ideal…

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: A 1.0 dm3 glass bulb contains 1.0 × 1023 H2 molecules. If the pressure exerted by the gas is 100…

A:

Q: Calculate the root-mean-square speed of the molecules in a sample of Cl2 gas (M=0.0709 kg/mol) at…

A:

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: 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: 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: 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

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.