Concept explainers
Interpretation:
An instantaneous
Concept Introduction:
For mixing process, equation for enthalpy is:
In terms of a third-degree polynomial equation in
Here,
For a binary system, equation
For a binary system, equation
Answer to Problem 11.34P
The rate of addition of sulfuric acid to the tank is defined as:
The plot of this rate with time is:
Explanation of Solution
Given information:
At
The data which may fit to the cubic equation of
From the equation (1), the given heat of mixing for the values of
Now, calculate the value of
Rewrite the preceding equation in terms of
Now, calculate the derivative this equation as:
Now, calculate the value of
Now, at an instantaneous time
Apply material balance on the given process as:
Solve this equation for
Now, apply energy balance on the given process and take
Since, the temperature for the given process is taken as constant at
Using this relation, the energy balance equation now becomes:
For the overall process, the given data are:
At this
Using equation (7) and (8) and the values required, the value of
Rewrite equations (7) and (8) as a function of
It is given that the rate of heat transfer
Now, the equation for time as a function of
Take derivative of
Therefore, the rate of addition of sulfuric acid to the tank is defined as:
At
This change in enthalpy is the required heat per kg of
Now, using equations (9) and (10), plot the rate
Thus, the rate of addition of sulfuric acid to the tank is defined as:
The plot of this rate with time is:
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Chapter 11 Solutions
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