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1stLaw-Closed-Spring2010-6

1stLaw-Closed-Spring2010-6 - Energy Equation 1st Law of...

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Energy Equation 1st Law of Thermodynamics Energy cannot be created or destroyed. (see Conservation of Mass for exception) It can, however, change from one form to another; transfer from one system to another. Energy conservation is a Postulate
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Closed System In a closed system no mass enters or leaves the system. However, energy can leave as – Work [W] (organized motion) – Heat [Q] (random motion)
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1st Law for Closed System dE CM = δ Q - δ W Work done by system (out) +ve Heat supplied to system (in) +ve d - exact differential (state variable) δ - not e. d. (path dependant) Same per mass, per mole. de CM = δ q + δ w d ˆ e CM = δ ˆ q + δ ˆ w
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Other Forms of 1st Law In rate form: In integral form: dE dt = ˙ Q ˙ W dE = δ Q δ W 1 2 1 2 1 2 Δ E 12 = Q 12 W 12
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Applications of 1st Law Constant volume: pdV = 0 only internal energy, E = U dE dt = ˙ Q dU dt = ˙ Q ˙ Q = mc V dT dt U 12 = Q 12 = m c V T 1 T 2 dT
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Applications of 1st Law
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