scholarly journals The variation with temperature of the specific heat of sodium in the solid and the liquid state; also a determination of its latent heat of fusion

The present paper contains the results of an investigation into the variation, with temperature, of the specific heat of sodium in the solid and the liquid state; also, some determinations of its latent heat of fusion. Our knowledge of the variations of the specific heat of metals in the region of their melting point is extremely vague and hypothetical, since the methods of investigation commonly employed are only capable of giving the mean value of the specific heat over a considerable range of temperature.

The specific heat of potassium has been measured in the range 0·4 to 26°K and the specific heats of rubidium and caesium in the range 0·4 to 320°K. Previously reported specific heat anomalies in the range 100 to 300°K were not confirmed. The θ c 0 and γ values were estimated as 90·6 +1·4 -0·3 °K and 497 ± 20 μ cal degK -2 gatom -1 for potassium, as 55·6 ± 0·5°K and 576 +70 -40 μ cal degK -2 gatom -1 for rubidium and as 38·4 ± 0·6°K and 764 ± 250 μ cal degK -2 gatom -1 for caesium. A slow release of energy (~ 1 μ cal s -1 gatom -1 ), dependent on thermal history, was observed from rubidium and caesium in the region of 4°K and may correspond to the annealing out of defects introduced by plastic strain on cooling. Positive anharmonic contributions to the specific heat are evident at high temperatures and an additional contribution to the specific heat, of the form (e - E / RT /T 2 ), becomes apparent from about 50°K below the melting point and may be identified with the thermal generation of lattice vacancies. The melting point of pure rubidium is estimated as 312·65 ± 0·01°K and the latent heat of fusion as 524·3 ± 1·0 cal/gatom. For caesium the melting point is 301·55 ± 0·01°K and, with some assumptions, the latent heat is 498·9 ± 0·5 cal/gatom. For both metals the specific heat of the liquid decreases with increasing temperature.


2019 ◽  
Vol 140 (4) ◽  
pp. 1825-1836 ◽  
Author(s):  
Carlos González-Rivera ◽  
Anthony Harrup ◽  
Carla Aguilar ◽  
Adrián M. Amaro-Villeda ◽  
Marco A. Ramírez-Argáez

Solar thermal energy storage unit anchored fatty acids as Phase Change Materials (PCMs) having narrow range of transition temperature and high latent heat of fusion. In this paper, a new novel eutectic PCM was developed by using a fatty acid (acetamide) and non-paraffin organic PCM (acetanilide) for a sharp melting point and high latent heat of fusion. The optimized eutectic PCM may be used for middle temperature range solar thermal energy storage systems. The binary mixture of acetamide and acetanilide at various compositions by mass ratio (wt%) was prepared and optimized experimentally for lowest value of melting point at a eutectic mixture composition of 60 wt% of acetamide and 40 wt% of acetanilide. Eutectic PCM was analyzed by Differential Scanning Calorimetry (DSC) and Field-Emission Scanning Electron Microscopy (FE-SEM). DSC results revealed that optimized eutectic PCM has a sharp melting point of 65.37°C and high latent heat of fusion of 224.67 kJ/kg. Accelerated thermal cycle testing of optimized eutectic PCM was performed for 100 melting and freezing cycles and change in melting temperature and latent heat of fusion was acceptable.


2006 ◽  
Vol 19 (11) ◽  
pp. 2184-2198 ◽  
Author(s):  
Byron A. Boville ◽  
Philip J. Rasch ◽  
James J. Hack ◽  
James R. McCaa

Abstract The parameterizations of clouds and precipitation processes have been revised considerably in the Community Atmosphere Model version 3 (CAM3) compared to its predecessors, CAM2 and the Community Climate Model version 3 (CCM3). The parameterizations in CAM3 are more realistic in their representation of processes affecting cloud liquid and ice particles and represent the linkages between processes more completely. This paper describes the changes to the representation of clouds in CAM3, including the partitioning of cloud water between liquid and ice phases, the determination of particle sizes and sedimentation rates, the phase and evaporation rate of precipitation, and the calculation of the cloud fraction. Parameterization changes between CCM3 and CAM2 introduced a significant cold bias at the tropical tropopause, resulting in a dry bias for stratospheric water vapor. Tests of the sensitivity of the tropical temperature profile and the tropical tropopause temperature to individual process changes suggested that the radiative balance at the tropopause was altered by improvements in both clouds and relative humidity below. Radiative equilibrium calculations suggested that the cold bias could be removed by improving the representation of subvisible cirrus clouds. These results motivated the complete separation of the representation of liquid and ice cloud particles and an examination of the processes that determine their sources and sinks. As a result of these changes, the tropopause cold bias has been almost eliminated in CAM3. The total cloud condensate variable, used in CAM2, has been separated into cloud liquid and cloud ice variables in CAM3. Both sedimentation and large-scale transport of the condensate variables are now included. Snowfall is computed explicitly and the latent heat of fusion has been included for all freezing and melting processes. Both deep and shallow convection parameterizations now detrain cloud condensate directly into the stratiform clouds instead of evaporating the detrained condensate into the environment. The convective parameterizations are not easily modified to include the latent heat of fusion. Therefore, the determination of the phase of convective precipitation, and of detrained condensate, is added as a separate step. Evaporation is included for sedimenting cloud particles and for all sources of precipitation.


Netsu Bussei ◽  
1992 ◽  
Vol 6 (1) ◽  
pp. 2-7 ◽  
Author(s):  
Kiyosi Kobayasi ◽  
Nobuaki Inoue ◽  
Takayoshi Takano

1959 ◽  
Vol 37 (12) ◽  
pp. 2064-2067 ◽  
Author(s):  
Paul A. Giguère ◽  
David Chin

A thermal analysis of the three-component system ammonia–hydrogen peroxide –water was carried out by adding anhydrous ammonia to the hydrate H2O2•2H2O. A first compound was found, with formula NH3•3H2O2•6H2O, melting at −23.9 °C; another compound melting around 15° appears to be a hydrate of ammonium peroxide, (NH4)2O2•2H2O. The eutectics are at −54.5°, 0.7% NH3, and −33.4°, 12.5% NH3. Careful redeterminations have confirmed that the melting point of the hydrate H2O2•2H2O is −52°, not −50° as was sometimes claimed. The latent heat of fusion of that compound is estimated to be 3.9 kcal and the degree of dissociation on melting, about one-third.


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