100L/hr of a 40mol% hydrochloric acid solution (25°C) is diluted with pure water (also 25°C) to make a final concentration of 10mol% HCl. How much heat must be added/removed from the system to keep the outlet temperature constant at 35°C? The specific gravity of the concentrated solution is 1.19. Confirm that the heat capacity of your dilute solution does not change significantly between 25-35°C (do not assume the heat capacity of your solutions is the same as water, unless you cannot find heat capacity data for your solutions and do so only to continue working the problem).

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Asked Apr 7, 2019
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100L/hr of a 40mol% hydrochloric acid solution (25°C) is diluted with pure water (also 25°C) to make a final concentration of 10mol% HCl. How much heat must be added/removed from the system to keep the outlet temperature constant at 35°C? The specific gravity of the concentrated solution is 1.19. Confirm that the heat capacity of your dilute solution does not change significantly between 25-35°C (do not assume the heat capacity of your solutions is the same as water, unless you cannot find heat capacity data for your solutions and do so only to continue working the problem).
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Expert Answer

Step 1

Convert the given volumetric flowrate of the 40 mol% HCl solution into its molar flowrate using the given specific gravity of the solution and its average molar mass as shown.

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Step 2

Now, apply total material balance on the process and label the equation as (1). Apply material balance on HCl and label the equation as (2). Simultaneously solve equations (1) and (2) and calculate the values of the molar flowrates of water stream and diluted acid stream as:

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Step 3

For the energy balance, take  the reference as 25°C for both H2O and HCl.

Since there is no data available for the heat capacity of 40mol% HCl solution and 10 mol% HCl solution in the standard tables provided, heat capacity ...

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