EASY
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IMPORTANT
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The quantities which remain same for all ideal gases at the same temperature is/are,

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Important Questions on Kinetic Theory of Gases

HARD
JEE Main/Advance
IMPORTANT

One mole of an ideal gas undergoes a process in which, T=T0+aV3, where T0 and a are positive constants and V is volume. The minimum pressure attainable is,

HARD
JEE Main/Advance
IMPORTANT

The volume thermal expansion coefficient of an ideal gas at constant pressure is

(Here T= absolute temperature of gas)

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JEE Main/Advance
IMPORTANT

Consider a hypothetical gas with molecules that can move along only a single axis. The following table gives four situations, the velocities in meter per second of such a gas having four molecules. The plus and minus sign refer to the direction of the velocity along the axis.

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In which situation the root-mean-square speed of the molecules is greatest?

MEDIUM
JEE Main/Advance
IMPORTANT
The value of CP-CV is 1.09R for a gas sample in state A and is 1.00R in state B. Let TA and TB denote the temperatures and PA and PB denote the pressures of the states A and B, respectively. Then,
EASY
JEE Main/Advance
IMPORTANT
Two identical rooms in a house are connected by an open doorway. The temperatures in the two rooms are maintained at two different values. Therefore,
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JEE Main/Advance
IMPORTANT
Two moles of hydrogen are mixed with n moles of helium. The root-mean-square speed of gas molecules in the mixture is 2 times the speed of sound in the mixture. Then, n is,
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JEE Main/Advance
IMPORTANT
A vessel of volume, V=5 litre contains 1.4 g nitrogen and 0.4 g of He at 1500 K. If 30% of the nitrogen molecules are disassociated into atoms, then the gas pressure becomes N8×105 N m-2. Find N (assume T is constant) R=253 J mol-1 K-1.
MEDIUM
JEE Main/Advance
IMPORTANT

One mole of an ideal gas is kept enclosed under a light piston(area=102 m2 ) connected by a compressed spring (spring constant 100 N m-1). The volume of gas is 0.83 m3 and its temperature is 100 K. The gas is heated so that it compresses the spring further by 0.1 m. The work done by the gas in the process is N×101 J. Find N. (Take R=8.3 J K-1-mole and suppose there is no atmosphere).

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