KINETIC THEORY OF GASES — practice questions

129 curated practice questions from KINETIC THEORY OF GASES (Physics NEET, NTA Exams) — 71 easy, 35 medium, 23 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.

• If three molecules have velocities 0.5 ms –1 , 1 ms –1 , and 2 ms –1 the ratio of the rms speed and average speed and…
• Assertion: The ratio of rms speed and average speed of a gas molecules at a given temperature is 3 : 8 / Reason: v_ rms…
• Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the…
• A gas at 200 K has pressure 4 × 10 –10 Nm –2 . If k B = 1.38 × 10 –23 JK –1 , the number of molecules per cm 3 is of…
• The internal energy of one gram of helium at 100 K and one atmospheric pressure is:
• A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average…
• The kinetic energy of 1 g molecule of a gas, at normal temperature and pressure, is:
• A molecule of a gas has six degrees of freedom. Then the molar specific heat of the gas at constant volume is:
• Assertion: Mean free path of a gas molecule varies inversely as density of the gas. Reason: Mean free path varies…
• The increase in mass of the gas increases the pressure in the container. This is caused due to increase in the…
• Given is the graph between P V T and P for 1 g of oxygen gas at two different temperatures T 1 and T 2 as shown in…
• Match Column 1 (Physical variables) with Column II (Expressions). (n = number of gas molecules present per unit volume…
• A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27°C. It's density is (R = 8.3 J mol-1 K-1)
• One mole of a diatomic gas undergoes a process P= P_ d 1+ ( V V_ d )^ 3 , where P 0 and V 0 are constants. The…
• At room temperature, the rms speed of the molecules of a certain diatomic gas is found to be 1930 m/s. The gas is
• Certain mass of a gas at constant pressure occupies a volume V. The temperature of the gas is increased to the extent…
• The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square speed of gas…
• 0.028 kg of nitrogen is enclosed in a vessel at a temperature of 37°C. At which temperature the rms velocity of…
• If one mole of monoatomic gas (y= 5 3 ) is mixed with one mole of diatomic gas ( = 7 5 ) the value of γ for the mixture…
• Two moles of an ideal gas with C_ P C_ V = 5 3 are mixed with 3 moles of another ideal gas with C_ p C_ v = 4 3 . The…
• A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and…
• A vessel of volume V contains a mixture of one mole of hydrogen and 1 mole of oxygen (both considered as ideal). Let f…
• Pressure of a gas at constant volume is proportional to
• If the pressure and the volume of certain quantity of ideal gas are one-third of its initial value, then its temperature
• What is the average velocity of the molecules of an ideal gas?
• An inflated rubber balloon contains one mole of an ideal gas, has a pressure P, volume V and temperature T. If the…
• The rms velocity of gas molecules is 300 ms -1 . The rms velocity of molecules of a gas with twice the molecular weight…
• A vessel has 6 g of oxygen at pressure P and temperature 400 K. A small hole is made in it so that oxygen leaks out…
• A gaseous mixture consists of 16g of helium and 16g of oxygen. The ratio C_ p C_ v of the mixture is
• Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
• Two gases A and B have equal pressure P, temperature T, and volume V. The two gases are mixed together and the…
• A monatomic gas at a temperature T has pressure P and heat energy per unit volume E. Then:
• The pressure and density of a diatomic gas (y= 7 5 ) change adiabatically from (P 1 , ρ 1 ) to (P 2 , ρ 2 ). If _ 2 _ 1…
• An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V 1…
• A vessel is filled with a gas at a pressure of 76 cm of Hg at a certain temperature. The mass of the gas is increased…
• Oxygen and hydrogen gases are at the same temperature T. The kinetic energy of an oxygen molecule will be equal to
• The value of FV ~T for one mole of an ideal gas is nearly equal to
• An ideal gas in a container of volume 500 c.c is at a pressure of 2 10^ 3 Nm -2 . The average kinetic energy of each…
• A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes…
• The mean free path of molecules of a gas, (radius = r) is inversely proportional to:
• Assertion: The ratio of specific heat of a gas at constant pressure and specific heat at constant volume for a diatomic…
• A gas is filled in a container at pressure P 0 . If the mass of molecules is one-third of initial mass and their rms…
• In a certain region of space there are only four gaseous molecules per cm 3 on an average. The temperature there is 3…
• One mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K as shown in figure. One face of the cube…
• At what temperature is the rms velocity of hydrogen molecule equal to that of an oxygen molecule at 27°C?
• The root mean square velocity of hydrogen molecules at 300 K is 1930 m/s. The rms velocity of oxygen molecules at 1200…
• The temperature of an ideal gas is increased from 120 K to 480 K. If the root mean square velocity of the gas molecules…
• How is the mean free path (λ) in a gas related to the interatomic distance?
• At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth’s…
• The velocity of sound in air is 300 m/sec. The root mean square velocity of its molecules is of the order of ( Y_ air…
• The temperature of a gas is -50°C. To what temperature the gas should be heated so that the rms speed is increased by 3…
• The average kinetic energy of gas molecules depends upon which of the following factor?
• The average energy of one dimensional classical oscillator is
• The diameter of an oxygen molecule is 2 Å. The ratio of molecular volume to the actual volume occupied by the oxygen…
• A vessel has 6 g of hydrogen at pressure P and temperature 500 K. A small hole is made in it so that hydrogen leaks…
• If for a gas R C _ v =0.67 , this gas is made up of molecules which are:
• Consider a thermally insulated vessel containing a gas of molar mass M moving with a velocity v. If the vessel is…
• Given below are two statements Statement I : The ratio c _ v c _ p for a monoatomic gas is less than for a diatomic…
• A vessel contains a mixture of different types of gases. The following statement holds good
• A gas at a temperature 250 K is contained in a closed vessel. If this gas is heated through 1 K, the percent rise in…
• Assertion: The root mean square and most probable speeds of the molecules in a gas are symmetrical. Reason: The Maxwell…
• Six molecules have speeds of 2 unit, 5 units, 3 units, 6 units, 3 unit and 5 unit, respectively. The rms speed is
• The molecules of a given mass of a gas have root mean square speeds of 100 ms –1 at 27°C and one atmospheric pressure…
• Two vessels having equal volume contains molecular hydrogen at one atmosphere and helium at two atmosphere…
• A vessel containing one mole of O 2 gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical…
• A given quantity of gas is at pressure P and absolute temperature T. Isothermal bulk modulus of the gas is
• If 2 moles of H 2 gas is mixed with 2 moles of helium gas, then the equivalent degree of freedom of the mixture is
• When the temperature of a gas filled in a closed vessel is increased by 1°C, its pressure increases by 0.5%. The…
• For a gas, the ratio of specific heats at constant pressure and constant volume is γ . Then, the degrees of freedom is
• Two chamber containing m grams of a gas at pressures and respectively are put in communication with each other…
• An ideal monatomic gas initially occupies a volume V at pressure P. Now the gas undergoes a process in which the…
• An idea gas is expanding such that PT 2 = constant. The coefficient of volume expansion of the gas is
• An ideal gas is expanding such that PT 2 = constant. The coefficient of cubical expansion of the gas is
• Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of…
• According to equipartition law of energy each particle in a system of particles have thermal energy equal to:
• A gas at NTP is suddenly compressed to one-fourth of its original volume. If y= 3 2 then the final pressure is
• A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down…
• Which of the following is WRONG about the degrees of freedom?
• A sample of an ideal gas occupies a volume V at pressure P and absolute temperature T. The mass of each molecule is m…
• The equation of state for 3 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be:
• When an ideal diatomic gas is heated at constant pressure the fraction of the heat energy supplied which increases the…
• The temperature of an ideal gas is increased from 130 K to 520 K. If at 130 K, the rms velocity of the gas molecules is…
• 1 mole of H 2 gas is contained in a box of volume V = 1.00 m 3 at T = 300 K. The gas is heated to a temperature of T =…
• Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the…
• If a gas has ‘n’ degrees of freedom, the ratio of the specific heats γ of the gas is:
• When an ideal gas is heated at constant pressure, the ratio of increase in its internal energy to heat supplied is 3/4…
• The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is:
• The total pressure P of an ideal gas consisting of diatomic molecules with an internal energy density u is given by
• The temperature of an ideal gas is increased from 37°C to 137°C, then percentage increase in v rms is:
• Assertion: In case of collision of gas molecules in a given amount of gas, total kinetic energy is conserved. Reason…
• If R represents the universal gas constant and N A is the Avogadro's number then ratio R/N A represents
• Assertion: Each vibrational mode gives two degrees of freedom. Reason: By law of equipartition of energy, the energy…
• A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1 K, then the percentage…
• The temperature of an open room of volume 30 m 3 increases from 17°C to 27°C due to sunshine. The atmospheric pressure…
• Which of the following statements regarding mean free path of gaseous molecules is correct?
• The average translational energy and the rms speed of molecules in a sample of oxygen gas at 300 K are 6.21 10^ -21 and…
• There are two jars A and B. Jar A is filled with a gas with parameters P,V and T. Jar B has a gas with parameters 2P…
• Two thermally insulated vessels 1 and 2 are filled with air at temperature (T 1 , T 2 ), volume (V 1 , V 2 ) and…
• The density of a gas is 6 10^ -2 kg/m 3 and the root mean square velocity of the gas molecule is 500 m/s. The pressure…
• At 10 "C the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 110 "C this ratio is
• Three perfect gases at absolute temperatures T 1 , T 2 and T 3 are mixed. The masses of molecules are m 1 , m 2 and m 3…
• The ratio ( C_ p C_ v ) and degree of freedom for a gas whose molar specific heat at constant pressure is 29 J/mole-K…
• At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's…
• The absolute temperature of an ideal gas is doubled, the de-Broglie's wavelength of the atom becomes
• Consider a mixture of n moles of helium gas and 2 n moles of oxygen gas (molecules taken to be rigid) as an ideal gas…
• A vessel contains two non-reactive gases neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures…
• The ratio of root mean square speed of oxygen gas molecules to that of hydrogen gas molecules kept at the same…
• Four molecules of a gas have speeds of 1 m/s, 4 m/s, 8 m/s, 16 m/s. The root mean square speed of the gas molecules is
• A given quantity of ideal gas is at pressure P and absolute temperature T. The adiabatic bulk modulus of the gas is […
• The molecules of a given mass of a gas have rms velocity of 200 ms −1 at 27°C and 1.0 × 10 5 Nm −2 pressure. When the…
• Mean kinetic energy for each degree of freedom per molecule is [R: universal gas constant and k B : Boltzmann constant]
• One kg of a diatomic gas is at pressure 8 10^ 4 ~N / m ^ 2 , the density of the gas is 4 kg/m -3 . What is the energy…
• The root mean square velocity of a diatomic gas at room temperature is 1930 m/s. Then the gas is:
• The average kinetic energy, of O 2 at a particular temperature is 0.768 eV. The average kinetic energy of N 2 molecules…
• Assertion: For a mixture of non-reactive ideal gases, the total pressure gets contribution from each gas in the…
• Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average…
• Given below are two statements Statement I : Each vibrational mode gives two degrees of freedom. Statement II : By law…
• According to kinetic theory, temperature of a gas depends upon
• The temperature of an ideal gas enclosed in a chamber is raised from 3000 K to 6000 K. The pressure becomes two fold…
• One moles of a gas A at 27°C mixed with a two moles of gas at 37°C. If both are monatomic ideal gases, what will be the…
• Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the…
• A gas mixture consists of 2 moles of O _ 2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the…
• The average translational kinetic energy of O 2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The…
• The mean kinetic energy of translation per gram molecule of a gas is
• Assertion: The total translation kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the…
• Consider two ideal diatomic gases A and B at same temperature T. Molecules of the gas A are rigid, and have a mass m…
• A cubic vessel (with faces horizontal + vertical) contains an ideal gas at normal temperature and pressure. The vessel…
• It is proposed that the separation between molecules is doubled in a given gas while keeping the temperature constant…
• Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will…

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