%% CR file for rate-of reaction component RATE

OPERATOR Rate;

% Reaction rate
FOR ALL k,q,h,n,Conc,Temp LET
    Rate(k,q,h,n,flow,1,
         Conc,effort,1,
	 Temp,effort,2
	 ) 
	 = k*Conc^n*e^(-q/Temp);

% Heat
FOR ALL k,q,h,n,Conc,Temp LET
    Rate(k,q,h,n,flow,2,
         Conc,effort,1,
	 Temp,effort,2
	 ) 
	 = k*Conc^n*h*e^(-q/Temp);

END;

% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system Rate (Rate_desc.tex)
% Generated by MTT on Tue Mar 14 17:54:06 GMT 2000.

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   The acausal bond graph of system \textbf{Rate} is
   displayed in Figure \Ref{fig:Rate_abg.ps} and its label
   file is listed in Section \Ref{sec:Rate_lbl}.
   The subsystems are listed in Section \Ref{sec:Rate_sub}.


This component represents rate of reaction equations corresponding to
the chemical reaction:
\begin{equation}
  \text{nA} \rightarrow \text{B}
\end{equation}
The relevant equations are
\begin{equation}
  \begin{align}
     \frac{dc_a}{dt} &= k_a c_a^n e^{-\frac{q_a}{T}} \tag{Rate of reaction}\\
     Q &= h_a k_a c_a^n e^{-\frac{q_a}{T}} \tag{Heat of reaction}
  \end{align}
\end{equation}
where $\frac{dc_a}{dt}$ is the rate of change of concentration of
species A and $Q$ is the corresponding heat generated.

%% Label file for system Rate (Rate_lbl.txt)
%SUMMARY Rate
%DESCRIPTION 

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% Port aliases
%ALIAS	in	conc
%ALIAS	out	thermal

% Argument aliases
%ALIAS	$1	k,q,h,n

%% Each line should be of one of the following forms:
%	     a comment (ie starting with %)
%	     component-name	cr_name	arg1,arg2,..argn
%	     blank

% ---- Component labels ----
	r	 Rate	k,q,h,n

% Component type SS
	[conc]		SS		external,external
	[thermal]	SS		external,external