# 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) Option 2) Option 3) Option 4)

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)

This is an incorrect option.

Option 2)

This is an incorrect option.

Option 3)

This the correct option.

Option 4)

This is an incorrect option.

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