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500 kg/hour of a mixture containing 10wt% methane and 90wt% ethane at 27°C and 1 bar is fed to a mixer. Another mixture, containing 50wt%methane and 50wt% ethane at 77°C at 1 bar, is also fed to the mixer at a flow rate of 300 kg/hr. The mixer operates at 1 bar and 227°C. Calculate the heat entering/leaving the mixer in kJ/hr. Use the sign of Q and determine if the heat is being transferred FROM or TO the mixer. The specific enthalpies of methane and ethane are given in the table below. Temperature (°C)Methane Specific Enthalpy (kJ/kg) Ethane Specific Enthalpy (kJ/kg)271199.81068.3771314.81161.52271708.91504.6

Question

Asked Mar 31, 2019

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500 kg/hour of a mixture containing 10wt% methane and 90wt% ethane at 27°C and 1 bar is fed to a mixer. Another mixture, containing 50wt%methane and 50wt% ethane at 77°C at 1 bar, is also fed to the mixer at a flow rate of 300 kg/hr. The mixer operates at 1 bar and 227°C. Calculate the heat entering/leaving the mixer in kJ/hr. Use the sign of Q and determine if the heat is being transferred FROM or TO the mixer. The specific enthalpies of methane and ethane are given in the table below.

Temperature (°C)	Methane Specific Enthalpy (kJ/kg)	Ethane Specific Enthalpy (kJ/kg)
27	1199.8	1068.3
77	1314.8	1161.5
227	1708.9	1504.6

Expert Answer

Step 1

The flowchart for the given process is shown below.

Here, ṁ₃ kg/h is the flowrate of the product stream and x₃ is the mass fraction of methane present in this stream.

Methane is represented as CH₄ and ethane as C₂H₆.

Step 2

Apply total material balance on the given process as:

Step 3

Now, apply material balance on me...

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