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Please help! In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq. A good estimate for q is :

 In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq. A good estimate for q is :

  • Option 1)

    2

  • Option 2)

    1

  • Option 3)

    \frac{1}{2}

  • Option 4)

    \frac{1}{4}

 
Answers (1)
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As we learnt in

Pressure of a gas -

P= \frac{1}{3}mn< v^{2}>
 

- wherein

m = mass of a molecule

n = number of molecule /volume

< v2 > = Rms velocity

 

 Force \alpha \frac{\alpha P}{dt} (Rate of change of momentum)

=\frac{mv^{2}}{L}

L is length of container  and v2 is mean square velocity 

v^{2}\alpha\ T

\therefore\ \;F \alpha\ T

Correct option is 2.


Option 1)

2

This is an incorrect option.

Option 2)

1

This is an incorrect option.

Option 3)

\frac{1}{2}

This the correct option.

Option 4)

\frac{1}{4}

This is an incorrect option.

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