This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1891 Excerpt: ...the pressure be constant, dQ = cpdT; A dQ Cp and dv = ip If the volume be constant, dQ j jm vdp dp = cvdT = cv-g, dQ c and dp = Kv Therefore, if no heat be imparted, that is, if dQ = 0, dv dp n.-. pc, . vP is constant, if we assume that the ratio of c to cp is constant. If p, v be changed to p', v, we obtain P w) and ' ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1891 Excerpt: ...the pressure be constant, dQ = cpdT; A dQ Cp and dv = ip If the volume be constant, dQ j jm vdp dp = cvdT = cv-g, dQ c and dp = Kv Therefore, if no heat be imparted, that is, if dQ = 0, dv dp n.-. pc, . vP is constant, if we assume that the ratio of c to cp is constant. If p, v be changed to p', v, we obtain P w) and '("Y-1. t pv v J The equation pifl = constant is, iD thermodynamics, the equation of the adiabatic, or isentropic lines, and it represents the relation between the pressure and volume of a mass of gas, when, during a change of volume, no heat is lost or imparted. The equation is true in the case of a sudden compression or dilatation of a mass of air, because there is no time for any sensible loss of heat, or for any addition of heat from external sources. It will be found that this relation is of great importance in the theory of sound. 109. It can be shewn by the aid of the principle of energy, that the difference between cp and cv, for any given gas, is constant. By a law of thermodynamics, the energy imparted to a system by the application of heat is proportional to the amount of heat. Hence, J being the mechanical equivalent of the unit of heat, the energy imparted to the unit mass of a gas by a rise of temperature dT when the pressure is constant is J. cpdT. But this energy is partly expended in elevating the temperature at a given volume, and partly in expanding the volume;.-. J. cpdT=pdv + J. cvdT and pv = KT: . J(cp-cv) = K, shewing that cp--cv is constant. We can employ this equation in obtaining the result of Art. 108. For if no heat be supplied, no energy is imparted, and.-. pdv + J. cvdT=0. But pv = KT=J.(cp-cv)T;;. pdv + vdp = J.(cp-cv) dT, and pdv (cp--cv) + c (pdv + vdp) = 0, whence cp. pdv + cv. vdp = 0, ...
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1920. G. Bell. Second. Hard Cover. Book-VG, gilt titles on spine, red boards. 8.5x5.5. 360pp.
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