Two ideal polyatomic gases at temperatures T 1 and T 2 are mixed so that there is no loss of energy. If F 1 and F 2 , m 1 and m 2 , n 1 and n 2 be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is:

n 1 F 1 T 1 + n 2 F 2 T 2 n 1 F 1 + n 2 F 2

n 1 F 1 T 1 + n 2 F 2 T 2 F 1 + F 2

n 1 F 1 T 1 + n 2 F 2 T 2 n 1 + n 2

According to the assumptions made in the kinetic theory of gases, when two molecules of a gas collide with each other then

both kinetic energy and momentum are conserved.

neither kinetic energy nor momentum is conserved.

momentum is conserved but kinetic energy is not conserved.

kinetic energy is conserved but momentum is not conserved.

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When the temperature of a gas increases by 1 $℃$ , its pressure increases by $0.4 %$ (volume remains constant). What is its initial temperature?

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Important Questions on Behaviour of Perfect Gas and Kinetic Theory

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IMPORTANT

Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 17

On increasing the temperature of a gas filled in a closed container by

1^{o} C

, its pressure increases by

0.4 %

, then initial temperature of the gas is:

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 18

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 constant temperature?

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 19

At constant temperature, the pressure of a gas is decreased by

20 %

. The percentage change in the volume

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 20

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}

and the number of molecules are

n_{1}, n_{2}

and

n_{3}

, respectively. Assuming no loss of energy, the final temperature of the mixture is

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 21

Four containers are filled with monatomic ideal gases. For each container, the number of moles, the mass of an individual atom and the RMS speed of the atoms are expressed in terms of $n, m$ and $v_{RMS},$ respectively. If $T_{A}, T_{B}, T_{C} and T_{D}$ are their temperatures, respectively, then which of the following options correctly represents the order?

	A	B	C	D
Number of moles	$n$	$3 n$	$2 n$	$n$
Mass	$4 m$	$m$	$3 m$	$2 m$
RMS speed	$v_{RMS}$	$2 v_{RMS}$	$v_{RMS}$	$2 v_{RMS}$
Temperature	$T_{A}$	$T_{B}$	$T_{C}$	$T_{D}$

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 22

The thermodynamic coordinates of a jar

A

filled with gas are

P

V

and

T

and another jar

B

filled with another gas are

2 P

\frac{V}{4}

and

2 T

, where the symbols have their usual meaning. The ratio of the number of molecules of jar

A

to those jar

B

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 23

The ratio of the mean speed of hydrogen molecules to the mean speed of nitrogen molecules in a sample containing a mixture of the two gases is:

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Physics Crash Course NEET>Chapter 9 - Behaviour of Perfect Gas and Kinetic Theory>Level 3>Q 24

Three closed vessels

A

B

and

C

are at the same temperature

T

and contain gases that obey the Maxwell distribution of velocities. The vessel

A

contains only

O_{2}

B

only

N_{2}

, and

C

contains a mixture of equal quantities of

O_{2}

and

N_{2}

. If the average speed of

O_{2}

molecules in the vessel

A

V_{1}

, that of the

N_{2}

molecules in the vessel

B

V_{2}

, the average speed of the

O_{2}

molecules in the vessel

C

will be

When the temperature of a gas increases by 1℃, its pressure increases by 0.4% (volume remains constant). What is its initial temperature?

Important Questions on Behaviour of Perfect Gas and Kinetic Theory

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When the temperature of a gas increases by 1 $℃$ , its pressure increases by $0.4 %$ (volume remains constant). What is its initial temperature?