First slide

Calculation of pressure

Question

A molecule of gas collides with the wall of a container elastically.
The expression of pressure due to the collision of molecules of velocity v_x is (n=number of molecules per unit volume and m = mass per unit volume )

Moderate

A

nmv²
B

nm ${v_{x}}^{2}$
C

nm $v_{x}$
D

$\frac{1}{2} n m {v^{2}}_{x}$

Solution

We know that momentum P = $nmV_x^2A\Delta t$
$F\, = \,\frac{{\Delta P}}{{\Delta t}}\, = \,nmV_x^2A$
Pressure P = $\frac{F}{A}$ = $nmV_x^2$

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