Mass balance constant-pressure heat capacity

After writing mass balances, energy balances, and equilibrium relations, we need system property data to complete the formulation of the problem. Here, we divide the system property data into thermodynamic, transport, transfer, reaction properties, and economic data. Examples of thermodynamic properties are heat capacity, vapor pressure, and latent heat of vaporization. Transport properties include viscosity, thermal conductivity, and difiusivity. Corresponding to transport properties are the transfer coefficients, which are friction factor and heat and mass transfer coefficients. Chemical reaction properties are the reaction rate constant and activation energy. Finally, economic data are equipment costs, utility costs, inflation index, and other data, which were discussed in Chapter 2. 

The coffee cup calorimeter operates at constant pressure determined by the atmosphere therefore, we need specific heat data at constant pressure. Because the data involve masses, it is easier to work with specific heat capacities (see Table 12.1) than with molar heat capacities. If ff is the final temperature (in degrees Celsius), then the equation for heat balance gives... 

In Equation 6.65, it is assumed that the molar heat capacities at constant pressure and temperature have approximately the same values (CpL Cvl> CpG Cvg)- The catalyst mass meat and the energy flux can be expressed by Equations 6.7 and 6.58, respectively. By inserting these definitions, the energy balance for a BR becomes... 

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