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Lecture-5(matrix)

# Lecture-5(matrix) - MATRIX OPERATIONS Lecture 5 Motivation...

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MATRIX OPERATIONS Lecture - 5

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Motivation In number of petroleum operations, we are faced with the prospect of doing a mass balance Stream S 1 Stream S 2 Control Volume There is 1 stream coming into the volume and 1 stream exiting the volume. Suppose there are two components that we are tracking through the system
Motivation Stream S 1 Stream S 2 Control Volume We have made measurements of moles of components C 1 and C 2 in the inlet and outlet streams The objective is to calculate the flow rate in q S1 and the flow rate out q S2 For such calculations, we apply a mass (or material balance), i.e. Mass in - Mass out = Mass Accumulating in Control Volume In this case we write a mole balance, one component at a time

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Motivation Stream S 1 Stream S 2 Control Volume Writing a mole balance For component C 1 accum out in C S C S C n q y q y 1 2 1 1 1 = - = in C y 1 Mole fraction of component C 1 in inlet stream, m easured = out C y 1 Mole fraction of component C 1 in outlet stream, measured = 1 S q
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