Pressure & Kinetic Energy of a Gas

At what temperature, the kinetic energy of a gas molecule is half of the value at $27^\circ$C?

At $27^\circ\text{C}$ temperature, the mean kinetic energy of the atoms of an ideal gas is $E_1$. If the temperature is increased by $300^\circ\text{C}$ then the mean kinetic energy of the atoms will be

The kinetic energy of an ideal gas is $E_0$ at $27^\circ$C. When the temperature is increased to $177^\circ$C, then kinetic energy will be

The translational kinetic energy of the molecules of a gas at absolute temperature (T) can be doubled by

The average force applied on the walls of a closed container depends on temperature (T) as (T is the temperature of an ideal gas)

Energy of a gas/litre is $600$ joule, then what will be its pressure?

The average translational kinetic energy of a molecule in a gas is $E_1$. The kinetic energy of the electron (e) accelerated from rest through potential difference 'V' volt is $E_2$. The temperature at which $E_1 = E_2$ possible is (N = number of molecules, R = gas constant)

The initial average kinetic energy of the molecules was E, when a gas sample is at $27^\circ\text{C}$. When the gas is heated to $327^\circ\text{C}$, then the final average kinetic energy will be

The mean kinetic energy of the molecules of an ideal gas at $399^\circ\text{C}$ is ' E '. The temperature at which the mean kinetic energy of its molecules will be ' $E/2$ ', is

Two gases A and B are at absolute temperatures 350 K and 420 K respectively. The ratio of average kinetic energy of the molecules of gas $B$ to that of gas A is

The average force applied on the walls of a closed container depends as $T^{x}$ where T is the temperature of an ideal gas. The value of $x$ is

The kinetic energy of translation of the molecules in 50 g of CO${}_{2}$ gas at 17°C is:

The temperature of a gas is $-78^\circ\text{C}$ and the average translational kinetic energy of its molecules is $K$. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2K$ is:

The average kinetic energy of a monatomic molecule is $0.414\text{ eV}$ at temperature: (Use $K_B = 1.38 \times 10^{-23}\text{ J/mol-K}$)

In an ideal gas at temperature $T$, the average force that a molecule applies on the walls of a closed container depends on $T$ as $T^{x}$. The value of $x$ is

What is the pressure of hydrogen in a cylinder of volume 10 litre if its total energy of translation is $7.5 \times 10^{3}\text{ J}$?

The average force applied on the wall of a closed container depends as $T^{x}$ where T is the temperature of an ideal gas. The value of $x$ is

The average translational kinetic energy of nitrogen (molar mass 28) molecules at a particular temperature is 0.042 eV. The translational kinetic energy of oxygen molecules (molar mass 32) in eV at double the temperature is

The total kinetic energy of 1 mole of oxygen at $27^\circ\text{C}$ is: [Use universal gas constant $(R) = 8.31\text{ J/}$ mole K]

A flask contains Hydrogen and Argon in the ratio $2 : 1$ by mass. The temperature of the mixture is $30^\circ\text{C}$. The ratio of average kinetic energy per molecule of the two gases ( $K$ argon/K hydrogen) is: (Given: Atomic Weight of $\text{Ar} = 39.9$)

The temperature at which the kinetic energy of oxygen molecules becomes double than its value at $27^\circ\text{C}$ is

The average kinetic energy of a molecule of the gas is

A flask contains hydrogen and oxygen in the ratio of $2 : 1$ by mass at temperature $27^\circ\text{C}$. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is:

A gas at pressure $p_0$ is contained in a vessel. If the masses of all the molecules are halved and their velocities are doubled, then the resulting pressure would be equal to

The average force applied on the walls of a closed container depends on $T^{x}$ where $T$ is the temperature of an ideal gas. The value of '$x$' is

An ideal gas in a container of volume 500 c.c. is at a pressure of $2 \times 10^{+5}\text{ N/m}^{2}$. The average kinetic energy of each molecule is $6 \times 10^{-21}\text{ J}$. The number of gas molecules in the container is

A flask contains argon and oxygen in the ratio of 3: 2 in mass and the mixture is kept at 27${}^\circ$C. The ratio of their average kinetic energy per molecule respectively will be:

On the basis of kinetic theory of gases, the gas exerts pressure because its molecules:

The translational kinetic energy of the molecules of a gas at absolute temperature (T) can be doubled

If '$E$' is the kinetic energy per mole of an ideal gas and '$T$' is the absolute temperature, then the universal gas constant is given as

Match Column - I and Column - II and choose the correct match from the given choices.

At what temperature does the average translational kinetic energy of a molecule in a gas becomes equal to kinetic energy of an electron accelerated from rest through potential difference of 'V' volt? ($N =$ number of molecules, $R =$ gas constant, $c =$ electronic charge)

The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $\times$ 10$-$9 J per molecules is:

The average translational kinetic energy of N2 gas molecules at .............${}^\circ$C becomes equal to the K.E. of an electron accelerated from rest through a potential difference of 0.1 volt. (Given kB = 1.38 $\times$ 10$-$23 J/K) (Fill the nearest integer).

Number of molecules in a volume of 4 cm3 of a perfect monoatomic gas at some temperature T and at a pressure of 2 cm of mercury is close to?

(Given, mean kinetic energy of a molecule

(at T) is 4 $\times$ 10–14 erg, g = 980 cm/s2, density of

mercury = 13.6 g/cm3)

In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq. A good estimate for q is:

A gas molecule of mass M at the surface of the Earth has kinetic energy equivalent to 0oC. If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. (kB is Boltzmann constant)

At 0 K which of the following properties of a gas will be zero?

According to kinetic theory of gases, at absolute zero of temperature