Which of these increases the average kinetic energy of the molecules in an ideal gas? (a) Reducing the volume, keeping P and N constant (b) Increasing the volume, keeping P and N constant

Which of these increases the average kinetic energy of the molecules in an ideal gas?

(a) Reducing the volume, keeping P and N constant

(b) Increasing the volume, keeping P and N constant

(d) Increasing the pressure, keeping T and V constant

(e) Increasing N, keeping V and T constant

Solutions

Expert Solution

The option (b) is right option.

Explanation:

The average kinetic energy is given as

(Ktr) = 3/2 ∙ PV/N

Or = 3/2 kT

The numerator terms should increase to increase the average kinetic energy. Either pressure or volume or both should increase to increase (Ktr).

Hence, the option (b) is correct.

Option (b) is correct.

Junaid answered 1 year ago

Next > < Previous

Related Solutions

The average kinetic energy of the molecules in a sample of an ideal gas increases with the volume remaining constant. Which of these statements must be true?

The average kinetic energy of the molecules in a sample of an ideal gas increases with the volume remaining constant. Which of these statements must be true? (a) The pressure increases and the temperature stays the same. (b) The number density decreases. (c) The temperature increases and the pressure stays the same. (d) Both the pressure and the temperature increase.

A quantity of N molecules of an ideal gas initially occupies volume V. The gas then...

A quantity of N molecules of an ideal gas initially occupies volume V. The gas then expands to volume 2V. The number of microscopic states of the gas increases in the expansion. Under which of the following circumstances will this number increases the most? ( i ) if the expansion is reversible and isothermal ( ii ) if the expansion is reversible and adiabatic ( iii ) the number will change by the same amount for both circumstances. Why ?

The average kinetic energy of the molecules in a gas sample depends only on the temperature,...

The average kinetic energy of the molecules in a gas sample depends only on the temperature, T. But given the same kinetic energies, a lighter molecule will move faster than a heavier molecule. Where R=8.314 J/(mol·K) and ℳ is molar mass in kilograms per mole. Note that a joule is the same as a kg·m2/s2. What is the rms speed of O2 molecules at 429 K? What is the rms speed of He atoms at 429 K? Glycine is an...

The average kinetic energy of the molecules in a gas sample depends only on the temperature,...

Ideal gas is expanded keeping (a) P V 2=const, (b) P 2V =const. Do these processes...

Ideal gas is expanded keeping (a) P V 2=const, (b) P 2V =const. Do these processes lead to temperature increase or to temperature decrease? Find the specific heat capacities for the gas during these processes.

Find the Gibbs free energy for G(T,P) for an ideal gas with constant cv.

To derive the ideal-gas equation, we assume that the volume of the gas atoms/molecules can be...

To derive the ideal-gas equation, we assume that the volume of the gas atoms/molecules can be neglected. Given the atomic radius of krypton, 1.1 Å, and knowing that a sphere has a volume of 4πr3/3, calculate the fraction of space that Kr atoms occupy in a sample of krypton at STP. Express your answer using two significant figures.

For an ideal gas, consider the molar volume Vm = (V/n) = Vm(T,P). In other words,...

For an ideal gas, consider the molar volume Vm = (V/n) = Vm(T,P). In other words, the molar volume is a function of temperature and pressure. a) Write the total differential dVm. b) Show that dVm is exact. c) Derive an expression for the differential work dw performed in a reversible process by expansion/compression of the gas. d) Show that dw is inexact. e) What is the thermodynamic significance of having an exact differential?

4.Decreasing the volume of the container holding an ideal gas does what? a.It increases the gas...

4.Decreasing the volume of the container holding an ideal gas does what? a.It increases the gas pressure because gas particles strike the walls of the container with more momentum on average. b.It does not affect the gas pressure. c.It decreases the gas pressure by slowing the gas particles. d. It increases the gas pressure because gas particles bounce off the walls of the container more often. e.It increases the gas pressure by slowing the gas particles. 5.Which of these is...

An ideal gas in a sealed container has an initial volume of 2.55 L. At constant...

An ideal gas in a sealed container has an initial volume of 2.55 L. At constant pressure, it is cooled to 20.00 °C where its final volume is 1.75 L. What was the initial temperature? A sample of xenon gas occupies a volume of 9.47 L at 403 K. If the pressure remains constant, at what temperature will this same xenon gas sample have a volume of 6.29 L?

Subjects