Conservation of Mass (Ref Page)

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23 Terms

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How is amount of material expressed?

mass or moles

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Mass (m)

a quantity of matter that has weight in a gravitational field

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Mole (n)

an amount of any substance containing Avogadro’s number of molecules of that substance

1 mole = 6.02e23 atoms

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Molecular Weight (M)

related to mass and number of moles; common units of g/mol or lbm/lbm-mol

<p>related to mass and number of moles; common units of g/mol or lbm/lbm-mol</p>
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Mass Flow Rate

describes the transport of material over a period of time

<p>describes the transport of material over a period of time</p>
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Cross sectional area of a cylindrical tube

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Algebraic Mass Equation

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Differential Mass Equation

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Integral Mass Equation

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What can the mass accounting equations be used for?

  • total mass

  • species & element mass

  • total moles

  • element & species moles

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Total flow rate of stream

sum of molar flow rates - mole of s / time

sum of mass flow rates - mass of s / time

<p>sum of molar flow rates - mole of s / time</p><p>sum of mass flow rates - mass of s / time</p>
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Weight & Mole Fraction Sums

All weight & mole fractions in a stream sum to 1

<p>All weight &amp; mole fractions in a stream sum to 1</p>
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Weight & Mole Fraction Relation to Molar Flow Rates

the weight fraction equals the species mass flow rate divided by the stream’s mass flow rate

<p>the weight fraction equals the species mass flow rate divided by the stream’s mass flow rate</p>
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Relating molecular weight to flow rates

The molecular weight equals the mass flow rate divided by the molar flow rate (makes sense b/c still ends up being mass over moles since time unit cancels)

<p>The molecular weight equals the mass flow rate divided by the molar flow rate (makes sense b/c still ends up being mass over moles since time unit cancels)</p>
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Differential equations for open, nonreacting, steady-state systems

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What does it mean if we define a system as open?

The is an in and out term in accounting equation

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What does it mean if we define a system and nonreacting?

there is no generation or consumption terms in the accounting equation

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What does it mean if we define a system as steady-stade?

there is no accumulation term in the accounting equation

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Reaction Rate (R)

the extent to which a reaction proceeds, represented in moles or mol/time

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Characteristics of reaction rate

  • constant

  • no tied to a specific species/compound

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How to find R

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Fractional conversation (f) of a reactant

how much of the reactant reacts in the system relative to how much is introduced 

<p>how much of the reactant reacts in the system relative to how much is introduced&nbsp;</p>
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Limiting Reactant

the reactant consumed first; defined by minimum equation value

<p>the reactant consumed first; defined by minimum equation value</p>