Explain the following seeming contradiction: You have

Chapter , Problem 13

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Explain the following seeming contradiction: You have twogases, A and B, in two separate containers of equal volume andat equal pressure and temperature. Therefore, you must have thesame number of moles of each gas. Because the two temperaturesare equal, the average kinetic energies of the two samplesare equal. Therefore, since the energy given such a system willbe converted to translational motion (that is, move the molecules),the root mean square velocities of the two are equal, andthus the particles in each sample move, on average, with the samerelative speed. Since A and B are different gases, they each musthave a different molar mass. If A has higher molar mass than B,the particles of A must be hitting the sides of the container withmore force. Thus the pressure in the container of gas A must behigher than that in the container with gas B. However, one ofour initial assumptions was that the pressures were equal.