Question

pressure (p) of an ideal gas is (n/v)

9. Pressure (P) of an Ideal gas is (a) 5/2 (N/V) (W/2mv2) (b) 2/3 (N/V) (1/2mv2) 3/2 (N/V) (1/2mv2) (d) None

Answer 1

Correct option is option (b)

Let dy be an elemental volume at a distances from an elemental area aA. o, in a direction making an angle o with the normal to dA. Total number of molecules is N, the number of mole miles in av is ndy where a=N. If z be the collision frequency of any mole wile. The total number of collision within dv in time dt = Iznavat. I-avoid double counting. Bow number of free path originating in dv in time at is 2x1 znavat = znavat. DA y number of molecules heading towards the elementary aread As No = aw znavat. dw = dAcaso, dvas rododo aq. . No = 1 / Znd A It dis o censo doda, dr. from Survival ean N= No é in ZnaA at ano so doe draa. Change of momentum myCaso - (- my corso = 2 my carro Total change in momentum. I and Adt zmuszont 27 r10 do = Imruzna A dt = 1 n ev? aA dt = 7 df a average force exerted due to this change in momentum. & af at mavaa pressure po at = 1 n = 33 mnvz & 2 Namur