Consider a system that consists of N noninteracting particles in a cubical container of edge length L. Assuming that the force exerted by the ith particle in a collision with a wall where Fix the x-direction is given by perpendicular Eni to = 28m ▸ 3L n² = (²+²+²), prove that F = (b) If the average force is defined as F = N(F), 2 7²ħ² n²x My N²₂ + + 2mL LL 2 2N i=1,2,..., N (a) δε, ni ƏL If 9 L₁ = L₁ = L₁ = L and prove that pressure P = - E. 3V ). (c) From the result of (b), derive that the system obeys the deal gas law PV = Nk T (hint: you can apply the equipartition of energy theorem for (&)).
Consider a system that consists of N noninteracting particles in a cubical container of edge length L. Assuming that the force exerted by the ith particle in a collision with a wall where Fix the x-direction is given by perpendicular Eni to = 28m ▸ 3L n² = (²+²+²), prove that F = (b) If the average force is defined as F = N(F), 2 7²ħ² n²x My N²₂ + + 2mL LL 2 2N i=1,2,..., N (a) δε, ni ƏL If 9 L₁ = L₁ = L₁ = L and prove that pressure P = - E. 3V ). (c) From the result of (b), derive that the system obeys the deal gas law PV = Nk T (hint: you can apply the equipartition of energy theorem for (&)).
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Eni
Consider a system that consists of N noninteracting particles in a cubical container of edge
length L. Assuming that the force exerted by the ith particle in a collision with a wall
δε
perpendicular
the
x-direction is given by
where
2
π²ħ² n² ny n
iy
IZ
+ +
2mL LL₂
m² = 3 (n²x + n², + n/² )
₂2), prove that F
2
2
ix
2
Miy
iz
ix
ix
prove that pressure P =
2N
i = 1,2,..., N
3V
E
=
28,
n;
3L
Fix = -
(a)
n₁
aLx
If _L₂ = L₁ = L₂ = L
and
(b) If the average force is defined as F = N(F₁x),
). (c) From the result of (b), derive that the system obeys the
ideal gas law PV = Nk„T (hint: you can apply the equipartition of energy theorem for (s)).
ni
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