Final Exam Formula Sheet
Final Exam Formula Sheet
Final Exam Formula Sheet
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M.P. Bradley <br />
11 April 2012 <br />
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THERMODYNAMIC RELATIONS <br />
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TdS Equations: <br />
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TdS = dU + pdV <br />
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TdS = dH −Vdp <br />
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Maxwell Relations: <br />
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⎛ ∂T ⎞ ⎛<br />
⎜ ⎟ = − ∂p ⎞<br />
⎛ ∂p ⎞ ⎛<br />
⎜ ⎟ ⎜ ⎟ = ∂s ⎞<br />
⎜ ⎟ <br />
⎝ ∂v ⎠<br />
s<br />
⎝ ∂s ⎠<br />
v<br />
⎝ ∂T ⎠<br />
v<br />
⎝ ∂v ⎠<br />
T<br />
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⎛ ∂T ⎞ ⎛<br />
⎜ ⎟ = ∂v ⎞<br />
⎛ ∂v ⎞ ⎛<br />
⎜ ⎟ ⎜ ⎟ = − ∂s ⎞<br />
⎜ ⎟ <br />
⎝ ∂p ⎠ ⎝ ∂s⎠<br />
s<br />
p € ⎝ ∂T ⎠<br />
p ⎝ ∂p⎠<br />
T<br />
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USEFUL CONSTANTS: <br />
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Boltzmann’s Constant: kB = 1.38 x 10 23 J/K <br />
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Avogadro’s Number: NA = 6.022 x 10 23 particles/mole <br />
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Molar Gas Constant: R = 8.314 J/mol.K <br />
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Stefan‐Boltzmann Constant: σ = 5.67 × 10 ‐8 W/m 2 •K 4 <br />
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