Kinetic Theory of Gases — practice questions
101 curated practice questions from Kinetic Theory of Gases (Physics JEE Advanced, NTA Exams) — 60 hard, 41 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- In a certain process, final volume of the gas is equal to its initial volume. Then for this process
- For the P–V diagram shown, for path 1 → 2 → 3, 100 J of heat is given to the system and 40 J of work is done by the…
- When an ideal gas (γ = 5/3) is heated under constant pressure, then what percentage of given heat energy will be…
- An ideal gas is taken through the cycle A → B → C → A , as shown in the figure. If the net heat supplied to the gas in…
- The temperatures of equal masses of three different liquids A, B and C are 12°C, 19°C and 28°C respectively. The…
- The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is
- Which of the following statement(s) is (are) correct regarding the root mean square speed ( u rms ) and average…
- A monoatomic gas undergoes a cyclic process as shown in the figure. The ideal gas follows the equation T = bV 2 for the…
- Statement-1: In an adiabatic process, change in internal energy of a gas is equal to work done on or by the gas in the…
- A gaseous mixture consists of 16 g of helium and 16 g of oxygen, The ratio CP/CV of the mixture is
- An ideal gas at 27°C is compressed adiabatically to 8 27 of its original volume. The rise in temperature is (y= 5 3 )
- If CV for an ideal gas is given by CV = 3 + 2T, where T is the absolute temperature of gas, then the equation of…
- Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at…
- Helium atom is two times heavier than a hydrogen molecule. At 298 K, the average kinetic energy of a helium atom is
- Statement-1: A quasi-static process is so called because it is a sudden and large change of the system. Statement-2: An…
- As shown schematically in the figure, two vessels contain water solutions (at temperature T ) of potassium permanganate…
- The average velocity of an ideal gas molecule at 27 °C is 0.3 m/sec. The average velocity at 927 °C will be
- If Maxwell distribution is valid and VP denotes the most probable speed, V the average speed and Vrms the…
- A closed vessel contains 10 g of an ideal gas X at 300 K, which exerts 2 atm pressure. At the same temperature, 80 g of…
- The ratio between the root mean square speed of H 2 at 50 K and that of O 2 at 800 K is
- Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the…
- The shown P–V diagram represents the thermodynamic cycle of an engine, operating with an ideal monoatomic gas. The…
- At constant volume, for a fixed number of moles of a gas the pressure of the gas increases with rise in temperature due…
- During an experiment, an ideal gas is found to obey a condition p^ 2 = constant [ = density of the gas]. The gas is…
- When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along…
- A vessel contains a mixture of one mole of oxygen and two mole of nitrogen at 300 K. The ratio of the average…
- An ideal gas is taken from the state A (pressure P , volume V ) to the state B (pressure P /2, volume 2 V )along a…
- In the figure shown, a horizontal cylindrical tube connected to the vertical wall of a chamber of volume V, contains V_…
- A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are…
- In the following P-V diagram two adiabatics cut two isothermals at temperatures T 1 and T 2 (fig.). The value of V_ a…
- A gas molecule of mass M at the surface of the Earth has kinetic energy equivalent to 0°C. If it were to go up straight…
- The rms velocity of hydrogen is times the rms velocity of nitrogen. If T is the temperature of the gas, then
- An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If Q1, Q2…
- If one mole of a monoatomic gas (γ = 5/3) is mixed with one mole of a diatomic gas (γ = 7/5), the value of g for the…
- The root–mean–square (rms) speed of oxygen molecules (O 2 ) at a certain absolute temperature is V. If the temperature…
- Let v , v_ r m s and v_ p respectively denote the mean speed, root mean square speed, and most probable speed of the…
- Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the…
- Two Carnot engines A and B are operated in succession. The first one, A receives heat from a source at T = 800 K and…
- The average translational kinetic energy of O 2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The…
- At what temperature is the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47°C?
- A mono atomic gas is supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be
- Statement-1: In an isothermal process whole of the heat energy supplied to the body is converted into internal energy…
- A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is
- The root mean square velocity of one mole of a monoatomic gas having molar mass M is u r . m . s . . The relation…
- A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by 62°…
- The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K the root-mean square velocity of the gas…
- When an ideal gas undergoes unrestrained expansion, no cooling occurs because the molecules
- A monoatomic ideal gas having an initial volume of 0.1 m3 and a pressure of 106 N/m2 absorbs 6 × 104 J of heat. For…
- An ideal gas is initially at temperature T and volume V . Its volume is increased by D V due to an increase in…
- From the following statements, concerning ideal gas at any given temperature T , select the correct one(s).
- In the cyclic process shown in the figure, the work done by the gas in one cycle is
- The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is
- Statement-1: The internal energy of a given sample of an ideal gas depends only its temperature according to kinetic…
- Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the…
- P-V plots for two gases during adiabatic processes are shown in the figure. Plots 1 and 2 should correspond…
- Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the…
- The temperature of an open room of volume 30 m 3 increases from 17°C to 27°C due to the sunshine. The atmospheric…
- Equal masses of three liquids A , B and C have temperatures 10°C, 25°C and 40°C respectively. If A and B are mixed, the…
- Statement-1: When an ideal gas is taken from a given thermodynamics state A to another given thermodynamic state B by…
- Two samples A and B of a gas initially at the same pressure and temperature are compressed from volume V to V/2 (A…
- Statement-1: Internal energy change is zero if the temperature is constant, irrespective of the process being cyclic or…
- Statement-1 : The pressure of a fixed amount of an ideal gas is proportional to its temperature. Statement-2 …
- A Carnot engine absorbs 1000 J of heat energy from a reservoir at 127 o C and rejects 600 J of heat energy during each…
- An ideal gas of density ρ = 0.2 kg m –3 enters a chimney of height h at the rate of α = 0.8 kg s –1 from its lower end…
- If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable…
- The root mean square velocity of an ideal gas at constant pressure varies with density ( d ) as
- Four curves A , B , C and D are drawn in the adjoining figure for a given amount of gas. The curves which represent…
- According to kinetic theory of gases, for a diatomic molecule
- A ssertion (A) : The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5…
- Statement-1: Work done by a gas in isothermal expansion is more than the work done by the gas in the same expansion…
- A vessel contains 1 mole of O 2 gas (molar mass 32) at a temperature T . The pressure of the gas is P . An identical…
- An ideal gas expands isothermally from a volume V 1 to V 2 and then compressed to original volume V 1 adiabatically…
- A monoatomic ideal gas, initially at temperature T 1 , is enclosed in a cylinder fitted with a frictionless piston. The…
- A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature…
- The internal energy U of an ideal gas depends on pressure P and Volume V of the gas according to equation U = 3PV…
- Two samples A and B of same gas have equal volumes and pressures. The gas in sample A is expanded isothermally to…
- Which one of the following gases possesses the largest internal energy
- Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the…
- The molar heat capacity in a process of a diatomic gas if it does a work of Q 4 when a heat of Q is supplied to it is
- A thermodynamic system undergoes cyclic process ABCDA as shown in figure. The work done by the system is
- A mass of diatomic gas (γ = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature…
- Tyre of a bicycle has volume 2 × 10 -3 m 3 . Initially the tube is filled to 75% of its volume by air at atmospheric…
- Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution…
- Let v _ , v _ r m and vP respectively denote the mean speed, root mean square speed and most probable speed of the…
- Heat energy absorbed by a system in going through a cyclic process shown in figure is
- A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure…
- 1 mole of an ideal monoatomic gas is confined in a cylinder fitted with a piston as shown in the figure. Take mass of…
- The average translational kinetic energy and the root mean square speed of molecules in a sample of oxygen gas at 300 K…
- Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
- 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…
- Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the…
- An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure)…
- A flat plate is moving normal to its plane through a gas under the action of a constant force F . The gas is kept at a…
- One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. 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
- An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of cross section 8.0 × 10–3m2. Initially…
- The temperature at which the root mean square speed of a gas will be half its value at 0°C is (assume the pressure…
- An ideal gas is expanding such that PT 2 = constant. The coefficient of volume expansion of the gas is
- Which of the following graphs correctly represents the variation of =- d V / d P V with P for an ideal gas at constant…
- What will be the temperature when the rms velocity is double of that at 300 K:
- A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P…