## 4 Results and Discussion
### Comparison with MSC-30/R134a Pair
#### 4.3.3 SHP and Thermal Mass-Dependent COP in Adsorption Heating Application  
The major factors describing the adsorption system's performance are typically its heating or cooling capabilities under given conditions, which can be expressed as the specific heating power (SHP) and specific cooling power (SCP). Here, we attempt to analyze the heating capabilities of the MSC-30/R1234 yf including the system's thermal mass effect. The SHP of the selected adsorption pair is presented in Figure 10 as analyzed for various desorption temperatures ranging from 60 \({}^{\circ}\)C to 90 \({}^{\circ}\)C. Naturally, the SHP of both pairs increases accordingly with increasing desorption temperature, while the final maximum is not too far beyond the selected range. It can be noted that MSC-30/R134a offers higher SHP values than the MSC-30/R1234 yf pair in the selected region with increasing tendency. If we look at the formulation of SHP, Equation (27), we can see that the specific heating power is calculated as a combination of condensation heat and adsorption heat, \(Q_{cond}+Q_{ads}\), when the condensation heat \(Q_{cond}\) is expressed by Equation (28) as heat that is related to the phase change released during the charging phase in the condenser. This approach is common in the literature, and it only requires considering the system to run under constant, uninterrupted conditions, which is the conventional usage. Furthermore, the  
Figure 9: Isosteric heat of adsorption using D–A model for MSC-30/R134a and MSC-30/R1234 yf pairs at 30 \({}^{\circ}\)C.  
and \(q_{st}\) of R134a are higher than those of R1234 yf. Therefore, MSC-30/R134a exhibits significantly higher SHP values than MSC-30/R1234 yf. For the calculation of SHP, \(w\) values are considered based on the D-A model with the volume correction using \(\alpha=1/\)T. Similarly, the specific cooling power (SCP) can be calculated as:  
\[SCP=(w_{max}-w_{min})\ q_{fg}(T_{eva})+\int_{cond}^{eva}\ dh_{f} \tag{36}\]  
In relation to the previous explanation, it can be expected the SCP of MSC-30/R134a to show higher values than MSC-30/R1234 yf as well. The developed equilibrium analysis model that accounts for the effect of thermal masses has been adopted for this study. The results of performance analysis for the selected adsorbent/adsorbate pairs are presented in Figure 11a,b. The COP of the adsorption heat pump cycle from the equilibrium without the thermal mass of the heat exchanger (Bed) is labeled (in the legend) as \"Adsorbent only\", and as we mentioned before, that is often the case in results presented in most literature sources. In this study, the thermal masses of the heat exchanger have been applied to analyze the performance of the cycle to bring the results closer to the real conditions. Therefore, we have modeled COP values of the full adsorption/desorption cycle with varying thermal mass ratios, i.e., the ratio of the heat exchanger mass to the adsorbent mass. From the work of [PERSON] et al. (2018), it is apparent that the thermal mass ratio is typically higher for the experimental devices and decreases with the overall capacity of the system. While the highest numbers of the mass ratio for the experimental devices reach 15\(\sim\)20, it is reasonable to expect that the commercial appliances will target the more economical region of \(<\)3-4. Here, values from 0 to 3 are presented. Figure 10: Specific Heating Power (SHP) of MSC-30/R1234 yf and MSC-30/R134a pairs (volume correction \(\alpha=1/\)T, using an ideal approach of isosteric heat of adsorption). Figure 11a,b show the resulting COP for different charging temperatures with the 0.5 step of the mass ratio for MSC-30/R134a and MSC-30/R1234 vf, respectively. It is clear that the COP degrades with the increased thermal mass of the heat exchanger, and this reduction is more significant at higher desorption temperatures. Although the thermal masses considerably reduce the COP in the continuous regime, we can partially reduce these losses by recycling part of the heat.