Question 1 :
Pressure versus temperature graphs of an ideal gas are as shown in figure. Choose the wrong statement<br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5dc12d0d4548337453d208ba' />

Question 2 :
The temperature of 5 moles of a gas which was held at consant volume was changed from 100⁰C to 120⁰C. The change in internal energy was found to be 80 Joules. The total heat capacity of the gas at constant volume will be equal to

Question 3 :
The average translational kinetic energy of <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e76e5b7491ec9580069a8cc' height='20' width='21' > (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e76e5b7b5f89758f2d51963' height='20' width='23' > (molar mass 28) molecules in eV at the same temperature is

Question 4 :
A partition divides a container having insulated walls into two compartments I. and II . the same gas fills the two compartments. The ratio of the number of molecules in compartments I. and II. is<br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5ea2d9fa8ab67a08eba56818.jpg" />

Question 5 :
16 g of oxygen and 14 g of nitrogen are mixed in an enclosure of volume 5000 cm³ at a temperature of 300 K. The resulting pressure of the mixture is nearly

Question 6 :
A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O₂ molecule to per N₂ molecule is-

Question 7 :
From the following {tex} V - T {/tex} diagram we can conclude<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5dbfd2ddec8cf4127b930a86"><br>

Question 8 :
The gas in a vessel is subjected to a pressure of 20 atmosphere at a temperature 27⁰C. The pressure of the gas in the vessel after one half of the gas is released from the vessel and the temperature of the remainder is raised by 50⁰C, is -

Question 9 :
A certain amount of an ideal gas is taken from state A to state B first along process 1 and then along process 2. If the amount of heat absorbed by the gas is Q₁and Q₂ respectively then -<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e76e5edb5f89758f2d519d4' height='92' width='106' >

Question 10 :
Read the given statements and decide which is/are correct on the basis of kinetic theory of gases <br>(I) Energy of one molecule at absolute temperature is zero<br>(II) rms speeds of different gases are same at same temperature<br>(III) For one gram of all ideal gas kinetic energy is same at same temperature<br>(IV) For one mole of all ideal gases mean kinetic energy is same at same temperature

Question 11 :
If the {tex} r . m .s {/tex} velocity of a gas at a given temperature (Kelvin scale) is {tex} 300 \mathrm { m } / \mathrm { sec } . {/tex} What will be the {tex} \mathrm { r.m.s } {/tex} velocity of a gas having twice the molecular weight and half the temperature on Kelvin scale =

Question 12 :
On giving equal amount of heat at constant volume to 1 mol of a monoatomic and a diatomic gas the rise in temperature (&Delta;T) is more for -

Question 13 :
If the intermolecular forces vanish away, the volume occupied by the molecules contained in 4.5 kg water at STP will be given by -

Question 14 :
Two spherical vessel of equal volume, are connected by a{tex} \ \ n {/tex} arrow tube. The apparatus contains an ideal gas at one atmosphere and {tex} 300 K {/tex}. Now if one vessel is immersed in a bath of constant temperature {tex} 600 K {/tex} and the other in a bath of constant temperature {tex} 300 K {/tex}. Then the common pressure will be<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5dbfd28fe18860128132d072"><br>

Question 15 :
The temperature at which the r.m.s. velocity of oxygen molecules is equal to that of the nitrogen molecules at 100⁰C is

Question 16 :
The number of molecules in a gas at pressure 1.64 &times; 10^-3 atmospheres and temperature 200 K having the volume 1 cc are-

Question 17 :
A cylinder containing an ideal gas is vertical position and has a piston of mass M that is able to move up or down without friction. If the temperature is increased.<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e76e585491ec9580069a864' height='109' width='95' >

Question 18 :
The ratio of total K.E. per molecule of O₂ and He at same temperature is -

Question 19 :
In the adjacent figure one mole of a monoatomic gas is enclosed in an adiabatic vessel by means of a tightly fitted cork. Heat is supplied to the gas at a constant rate Q = 4.5 &times; 10^-2 J/s, by an electric heater. At time t = 0, temperature of the gas is 27⁰C and its pressure is equal to atmospheric pressure P₀ = 10⁵ Pa. If maximum frictional force offered to the cork by the walls of the vessel is 50 N, the time when cork will come out of the vessel is. (The cross-sectional area of the vessel A = 10^-2m². Take R = 8.3 J/mol K) -<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e76e6344389b1556ddf2b27' height='52' width='190' >

Question 20 :
RMS velocity of an ideal gas at 27&deg;C is 500 m/s. Temperature is increased four times, rms velocity will become -

Question 21 :
Graph between volume and temperature for a gas is shown in figure. If {tex} \alpha = {/tex} volume coefficient of {tex} \mathrm { gas } = \frac { 1 } { 273 } {/tex} per {tex} ^ { \circ } \mathrm { C } {/tex}, then what is the volume of gas at a temperature of {tex} 819 ^ { \circ } \mathrm { C } {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5dbfd307ec8cf4127b930a9f"><br>

Question 22 :
The root mean square velocity, v_rms, the average velocity v_av and the most probable velocity, v_mp of the molecules of the gas are in the order -

Question 23 :
The mean square speed of 4 molecules of a gas having speeds 1, 2, 3 and 4 m/s is -

Question 24 :
The plot of isotherms will not be a straight line when a plot is drawn between :

Question 25 :
When the temperature of a gas is raised from {tex} 27 ^ { \circ } \mathrm { C } {/tex} to {tex} 90 ^ { \circ } \mathrm { C } , {/tex} the percentage increase in the {tex} r . m .s {/tex} velocity of the molecules will be

Question 26 :
The density of air at a pressure of 10⁵ Nm^-2 is 1.2 kgm^-3. Under these conditions, the root mean square velocity of the air molecules in ms^-1 is -

Question 27 :
An air bubble doubles its radius on raising from the bottom of water reservoir to be the surface of water in it. If the atmospheric pressure is equal to {tex} 10 { m } {/tex} of water, the height of water in the reservoir is<br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5dc1643450b49266d2058d77.jpg" />

Question 28 :
The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be (where R is the gas constant)

Question 29 :
If masses of all molecules of a gas are halved and their speed doubled, then the ratio of initial and final pressure is -

Question 30 :
A cylinder of fixed capacity <b>44.8 litre</b>, contains a monatomic gas at standard temperature and pressure. The amount of heat required to cylinder by {tex} \small 10 ^ { \circ } \mathrm { C } {/tex} will be. {tex} \small( R = {/tex} universal gas constant)