Molecules in a spherical container make wall collisions ina great circle plane of the sphere. All paths traveledbetween collisions are equal in length.(a) Relate the path length Al to the angle 0 and the sphereradius r.(b) Express the component of the molecular momentumtransferred to the wall in a collision in terms of themolecular mass m, the speed v, and the angle 0.(c) Using parts (a) and (b), calculate the average forceexerted on the wall by one molecule.(d) Derive the relation PV = PV = } Nmv² for a spheri-cal container. This is the same relation found for arectangular box in Section 9.5.

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