# The equation of state for 5g of oxygen at a pressure P and temperature T, when occupying a volume V, will be: (where R is the gas constant) 1. PV = 5 RT 2. PV = (5/2) RT 3. PV = (5/16) RT 4. PV = (5/32) RT

Subtopic:  Ideal Gas Equation |
83%
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AIPMT - 2004
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Uranium has two isotopes of masses 235 and 238 units. If both are present in Uranium hexafluoride gas, which would have the larger average speed?

 1 $${ }_{235} \mathrm{UF}_6$$ 2 $${ }_{238} \mathrm{UF}_6$$ 3 Both will have the same average speed. 4 Data insufficient

Subtopic:  Types of Velocities |
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A cylinder of fixed capacity $$44.8$$ litres contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by $$15.0^\circ~\mathrm{C}?$$ ($$R=8.31$$ J mol–1 K–1)

 1 $$379$$ J 2 $$357$$ J 3 $$457$$ J 4 $$374$$ J

Subtopic:  Specific Heat |
51%
From NCERT
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To find out the degree of freedom, the correct expression is:

1. $f=\frac{2}{\gamma -1}$

2. $f=\frac{\gamma +1}{2}$

3. $f=\frac{2}{\gamma +1}$

4. $f=\frac{1}{\gamma +1}$

Subtopic:  Law of Equipartition of Energy |
82%
From NCERT
AIPMT - 2000
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Match Column - I and Column - II and choose the correct match from the given choices.

 Column - I Column - II (A) root mean square speed of gas molecules (P) $$\frac13nm\bar v^2$$ (B) the pressure exerted by an ideal gas (Q) $$\sqrt{\frac{3 R T}{M}}$$ (C) the average kinetic energy of a molecule (R) $$\frac{5}{2} R T$$ (D) the total internal energy of 1 mole of a diatomic gas (S) $$\frac32k_BT$$

 (A) (B) (C) (D) 1. (Q) (P) (S) (R) 2. (R) (Q) (P) (S) 3. (R) (P) (S) (Q) 4. (Q) (R) (S) (P)
Subtopic:  Kinetic Energy of an Ideal Gas |
76%
From NCERT
NEET - 2021
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An increase in the temperature of a gas-filled in a container would lead to:

 1 decrease in the intermolecular distance. 2 increase in its mass. 3 increase in its kinetic energy. 4 decrease in its pressure.

Subtopic:  Kinetic Energy of an Ideal Gas |
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If $$C_p$$ and $$C_v$$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $$M$$ (where $$R$$ is the molar gas constant), the correct relation is:
1. $$C_p-C_v=R$$
2. $$C_p-C_v=\frac{R}{M}$$
3. $$C_p-C_v=MR$$
4. $$C_p-C_v=\frac{R}{M^2}$$

Subtopic:  Specific Heat |
64%
From NCERT
AIPMT - 2010
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The mean free path $$l$$ for a gas molecule depends upon the diameter, $$d$$ of the molecule as:
1. $$l\propto \frac{1}{d^2}$$
2. $$l\propto d$$
3. $$l\propto d^2$$
4. $$l\propto \frac{1}{d}$$

Subtopic:  Mean Free Path |
84%
From NCERT
NEET - 2020
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Diatomic molecules like hydrogen have energies due to both translational as well as rotational motion. From the equation in kinetic theory, $$PV = \frac{2}{3}E$$$,$ $$E$$ is:

 1 the total energy per unit volume. 2 only the translational part of energy because rotational energy is very small compared to translational energy. 3 only the translational part of the energy because during collisions with the wall, pressure relates to change in linear momentum. 4 the translational part of the energy because rotational energies of molecules can be of either sign and its average over all the molecules is zero.

Subtopic:  Kinetic Energy of an Ideal Gas |
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1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time:

 1 the pressure on EFGH would be zero. 2 the pressure on all the faces will be equal. 3 the pressure on EFGH would be double the pressure on ABCD. 4 the pressure on EFGH would be half that on ABCD.

Subtopic:  Kinetic Energy of an Ideal Gas |
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