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Explore popular questions from Behaviour of Perfect Gas and Kinetic Theory for JEE Advanced. This collection covers Behaviour of Perfect Gas and Kinetic Theory previous year JEE Advanced questions hand picked by experienced teachers.

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Behaviour of Perfect Gas and Kinetic Theory

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Q 1. In an adiabatic process, the root mean square speed of the molecules of a monoatomic gas becomes twice its initial value. The ratio of the initial volume of the gas to the final volume is

A

{tex}2{/tex}

B

{tex} 2 ^ { 3 / 2 } {/tex}

C

{tex}4{/tex}

{tex}8{/tex}

Explanation

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Q 2. A gas in a closed container has temperature {tex} T {/tex} and pressure {tex} P . {/tex} If the molecules of the gas undergo inelastic collisions with the walls of the container, then

A

both {tex} P {/tex} and {tex} T {/tex} will decrease

B

{tex} P {/tex} decreases and {tex} T {/tex} increases

C

{tex} P {/tex} increases and {tex} T {/tex} decreases

both {tex} P {/tex} and {tex} T {/tex} remain the same

Explanation


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Q 3. A vessel contains {tex} 4 {/tex} moles of oxygen and {tex} 2 {/tex} moles of argon at absolute temperature {tex} T {/tex}. The total internal energy of the gas mixture is

A

{tex} 6 R T {/tex}

B

{tex} 9 R T {/tex}

C

{tex} 11 R T {/tex}

{tex} 13 R T {/tex}

Explanation

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Q 4. The mass of an oxygen molecule is about {tex}16{/tex} times that of a hydrogen molecule. At room temperature the rms speed of oxygen molecules is {tex} v {/tex}. The rms speed of the hydrogen molecule at the same temperature will be

A

{tex} v / 16 {/tex}

B

{tex} v / 4 {/tex}

{tex} 4 v {/tex}

D

{tex} 16 v {/tex}

Explanation

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Q 5. Two thermally insulated vessels 1 and 2 are filled with air at temperature {tex} \left( T _ { 1 } , T _ { 2 } \right) , {/tex} volume {tex} \left( V _ { 1 } , V _ { 2 } \right) {/tex} and pressure {tex} \left( P _ { 1 } , P _ { 2 } \right) {/tex} respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

A

{tex} T _ { 1 } + T _ { 2 } {/tex}

B

{tex} \left( T _ { 1 } + T _ { 2 } \right) / 2 {/tex}

{tex} T _ { 1 } T _ { 2 } \left( P _ { 1 } V _ { 1 } + P _ { 2 } V _ { 2 } \right) / \left( P _ { 1 } V _ { 1 } T _ { 2 } + P _ { 2 } V _ { 2 } T _ { 1 } \right) {/tex}

D

{tex} T _ { 1 } T _ { 2 } \left( P _ { 1 } V _ { 1 } + P _ { 2 } V _ { 2 } \right) / \left( P _ { 1 } V _ { 1 } T _ { 1 } + P _ { 2 } V _ { 2 } T _ { 2 } \right) {/tex}

Explanation



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Q 6. {tex} 0.014 \mathrm { kg } {/tex} of nitrogen is enclosed in a vessel at a temperature of {tex} 27 ^ { \circ } \mathrm { C } {/tex}. The amount of heat energy to be supplied to the gas to double the rms speed of its molecules is approximately equal to

A

{tex} 6350 \mathrm { J } {/tex}

B

{tex} 7350 \mathrm { J } {/tex}

C

{tex} 8350 \mathrm { J } {/tex}

{tex} 9350 \mathrm { J } {/tex}

Explanation