A Treatise on the Kinetic Theory of Gases |
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Page 1
... axes are intermediate between respectively . u and u + du , v and v + dv , w and w + dw If we change the variables and make c the resultant velocity , the inclination of c to the axis of 2 , and that of the plane of cz to the plane of ...
... axes are intermediate between respectively . u and u + du , v and v + dv , w and w + dw If we change the variables and make c the resultant velocity , the inclination of c to the axis of 2 , and that of the plane of cz to the plane of ...
Page 2
... axes are between x and x + dx , y and y + dy , z and z + dz , must be proportional to where c1 ↓ ( c1 ) † ( c2 ) du ... axis of and the velocity of approach of these centres is u1 - U2 • If d be the sum of the radii of any 2 KINETIC ...
... axes are between x and x + dx , y and y + dy , z and z + dz , must be proportional to where c1 ↓ ( c1 ) † ( c2 ) du ... axis of and the velocity of approach of these centres is u1 - U2 • If d be the sum of the radii of any 2 KINETIC ...
Page 4
... axis of a may be taken in any direction . Whence it follows that this form of will ensure the permanence of distribution for all possible collisions . Therefore the number of spheres with component velocities between u and u + du , v ...
... axis of a may be taken in any direction . Whence it follows that this form of will ensure the permanence of distribution for all possible collisions . Therefore the number of spheres with component velocities between u and u + du , v ...
Page 6
... to the axes are intermediate between u and u + du , v and v + dv , w and w + dw respectively must be where ( c ) du dv dw , c2 = u2 + v2 + w2 ; and that the number of the N ' spheres whose 6 KINETIC THEORY OF GASES .
... to the axes are intermediate between u and u + du , v and v + dv , w and w + dw respectively must be where ( c ) du dv dw , c2 = u2 + v2 + w2 ; and that the number of the N ' spheres whose 6 KINETIC THEORY OF GASES .
Page 7
... axis of a and component velocities between the above limits respectively , must be proportional to ( c ) , ( c ) du dv dw du ' dvdu ' ( u - u ' ) dt ... ( A ) If the component velocities of these spheres after collision be between U and ...
... axis of a and component velocities between the above limits respectively , must be proportional to ( c ) , ( c ) du dv dw du ' dvdu ' ( u - u ' ) dt ... ( A ) If the component velocities of these spheres after collision be between U and ...
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Common terms and phrases
axis Balliol College Catalogus centre of mass cloth Codd component velocities Crown 8vo Demy 8vo density Dindorfii dv dw dx dy dz dy dz dt Edidit Editor elastic spheres encounters English Notes equal equation expression Extra fcap follows formerly Fellow function G. W. Kitchin Gaisford generalised coordinates Greek History hm c2 intermolecular forces Introduction and Notes kinetic energy Kinetic Theory last proposition Latin Ludwig Boltzmann mean value mean vis viva medium momenta motion number of collisions number of molecules number of pairs number of spheres Oriel College P₁ pairs of molecules pairs of spheres Pe-hxds plane potential energy pressure recensuit Robinson Ellis S.T.P. Tomi Scholia Schools Second Edition set of molecules sets of spheres stiff covers Third Edition Thomas Gaisford total number translated u+du University of Oxford v+dv variables W. W. Skeat w+dw
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