Kinetic Theory of Gases — practice questions
90 curated practice questions from Kinetic Theory of Gases (Physics JEE Main, NTA Exams) — 78 easy, 9 medium, 3 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.
- If the gases have initial temperature 300K and they are mixed in an adiabatic container having the same volume as the…
- The temperature of a hypothetical gas increases to 2 times when compressed adiabatically to half the volume. Its…
- The density of a gas is 6 × 10–2 kg/m3 and the RMS velocity of the gas molecules is 500 m/s. The pressure exerted by…
- The coefficient of performance of a Carnot refrigerator working between 30^ C and 0^ C is
- For the process P_ x ^ 2 T^ 2 of an ideal diatomic gas, the molar heat capacity of the gas is
- The shown P-V diagram represents the thermodynamics cycle of an engine, operating with an ideal monoatomic gas. The…
- One mole of an ideal gas at an initial temperature of T kelvin does 6 R joule of work adiabatically. If the ratio of…
- A refrigerator is to maintain eatables kept inside at 9^ C , calculate the coefficient of performance? (Room…
- An air sample consists of 78% N2 and 22% oxygen. The values of Cv for N2 and O2 is 0.2 kcal/kg/K and 0.15 kcal/kg/K…
- If a gas is heated at constant pressure, its isothermal compressibility
- A gaseous mixture contains 7 g of nitrogen and 20 g of argon. Assuming them to be ideal, find the specific heat…
- Two samples A and B of same gas have equal volumes and pressures. The gas in sample A is expanded isothermally to…
- In a given process for an ideal gas, dW = 0 and dQ < 0 . Then for the gas,
- Which one of the following is not a thermodynamic co-ordinate?
- Heat energy absorbed by a system in going through a cyclic process shown in figure is
- Work done by the gas in the process shown in figure is
- A sample of oxygen and a sample of hydrogen have the same mass, volume and pressure. The ratio of their absolute…
- A jar contains a gas and a few drops of water at T kelvin. The pressure in the jar is 830 mm of mercury. The…
- Two samples A and B of a gas initially at the same pressure and temperature are compressed from volume V to V 2 (A…
- A given system undergoes a change in which work done by the system equals the decrease in its internal energy. The…
- A refrigerator is to maintain eatables kept inside at 9^ C . If room temperature is 36^ C , calculate the coefficient…
- Consider two containers A and B containing identical gases at the same pressure, volume, and temperature. The gas in…
- The average thermal energy for a mono-atomic gas is : (k B is Boltzmann constant and T, absolute temperature)
- The increase in internal energy of a gas per unit mass per unit rise in temperature is equal to ( C_ v and C_ P are…
- An ideal heat engine exhausting heat at 77^ C is to have a 30% efficiency. It must take heat at
- 1 mole of an ideal gas is contained in a cubical vessel, ABCDEFGH at 300 K, figure. One face (EFGH) of the vessel is…
- An adiabatic vessel contains n_ 1 =3 mole of a diatomic gas. Moment of inertia of each molecule is I=2.76 10^ -45 ~kg…
- Four one litre flasks are separately filled with the gases hydrogen, helium, oxygen and ozone at the same room…
- Four molecules of speed 2 km/s, 3 km/s, 4 km/s and 5 km/s. The RMS speed of these molecules in km/s is
- The freezer in a refrigerator is located at the top section so that
- An ideal heat engine working between temperature T_ 1 and T_ 2 has an efficiency h, the new efficiency if both the…
- A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the gas during the cycle is:
- Even Carnot engine cannot give 100% efficiency because we cannot
- Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution…
- A gas is compressed at a constant pressure of 50 N/m2 from a volume of 10 m3 to a volume of 4 m3. Energy of 100 J is…
- Given below are two statements. STATEMENT - 1: The total translational kinetic energy of all the molecules of a given…
- A Carnot engine takes 3 × 106 cal of heat from a reservoir at 627°C, and gives it to a sink at 27°C. The work done by…
- Consider P-V diagram for an ideal gas shown in figure Out of the following diagrams, which represents the T-P diagram?…
- An ideal gas undergoes cyclic process ABCDA as shown in given P-V diagram The amount of work done by the gas is:
- The adiabatic exponent of a gas c_ p c_ v =y and its molecular weight is M. The difference of its molar heat capacity…
- Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston A is free…
- A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by 62 K…
- A Carnot engine, having an efficiency of = 1 10 as heat engine, is used as a refrigerator. If the work done on the…
- Given below are two statements. STATEMENT - 1: If the absolute temperature of the gas is increased 3 times, then the…
- A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket…
- A heat engine operates between a cold reservoir at temperature T_ 2 =300 K and a hot reservoir at temperature T_ 1 . It…
- Given below are two statements. STATEMENT - 1: The root mean square and most probable speed of the molecules in a gas…
- The slopes of the isothermal and adiabatic curves are related as:
- A gas at a pressure P 0 is occupying a certain volume V. If the masses of all the molecules are halved, volume and…
- Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work…
- The molar specific heat at constant pressure of an ideal gas is 7 2 R. The ratio of specific heat at constant pressure…
- Three perfect gases at absolute temperature T 1 , T 2 and T 3 are mixed. The masses of molecules are m 1 , m 2 and m 3…
- In the following indicator diagram, the net amount of work done by the gas will be
- Kinetic theory of gases presumes that collision between the molecules to be perfectly elastic because:
- An ideal refrigerator has a freezer at a temperature of -13^ C . The coefficient of performance of the engine is 5. The…
- A refrigerator works between 4^ C and 30^ C . It is required to remove 600cal of heat every second in order to keep the…
- In the diagrams (i) to (iv) of variation of volume with changing pressure is shown. A gas is taken along the path ABCD…
- 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…
- Consider a process shown in the figure. During this process the work done by the system
- If c_ p and c_ w denote the specific heats of nitrogen per unit mass at constant pressure and constant volume…
- If pressure and temperature of an ideal gas are doubled and volume is halved, the number of molecules of the gas
- The coefficient of performance for a refrigerator should be:
- An ideal gas heat engine operates in the Carnot cycle between 227^ C and 127^ C . It absorbs 6 10^ 4 cal of heat at…
- If the pressure of the gas is doubled at constant volume and mass, the frequency of collision of the molecules with the…
- Two Carnot engines A and B are operated in succession. The first one, A receives heat form a source at T = 800 K and…
- STATEMENT - 1: The mean free path of a molecule depends upon the diameter of the molecule. STATEMENT - 2: The mean free…
- The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume of V, will be:
- In an adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation P ∝ TC, where c…
- Two monoatomic gases are at absolute temperature 300K and 350K respectively. The ratio of average kinetic energies of…
- By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10 % at a…
- A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each…
- On the basis of kinetic theory of gases, the mean kinetic energy of 1 mole per degree of freedom is:
- The inside and outside temperature of a refrigerator are 273 K and 303 K respectively. Assuming that refrigerator cycle…
- If C_ p and C_ v denote the specific heats of nitrogen per unit mass at constant pressure and constant volume…
- A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats . It is moving with…
- In the cyclic process shown in the figure, the work done by the gas in one cycle is
- An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements…
- The P-V diagram shows seven curved paths (connected by vertical paths) that can be followed by a gas. Which two of them…
- When an ideal diatomic gas is heated at constant pressure, the fraction of the heat supplied which increases 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
- The equation of state of a gas is given by P^ P ( v - b )=n R T . One mole of this gas is expanded isothermally from v…
- 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…
- A vessel of volume V is required to be evacuated by means of a piston air pump that captures volume ΔV in each stroke…
- A and B are two adiabatic curves for two different gases. Then A and B correspond to
- Given below are two statements. STATEMENT - 1: Each molecule of a gas moves with the same rms speed if the temperature…
- At 27°C, a gas is compressed suddenly such that its pressure becomes (1/8) th of its original pressure. Final…
- The thermal efficiency of a hat engine for which the work output is 2500 J/cycle and the heat input is 10000 J/cycle, is
- A system goes from A to B via two process I and II as shown in figure. If U_ 1 and U_ 2 are the changes in internal…
- The mean free path of a gas molecule at 27°C is 2 cm. If the rms velocity of the gas at that temperature is 10 m/s…
- For a certain process the molar heat capacity of an ideal gas is found to be (c_ v + R 2 ) ; where C v is the molar…