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HEAT CAPACITIES

HEAT CAPACITIES. C = Q/ Δ T. HEAT CAPACITIES. C = Q/ Δ T But we know that Q = Δ U – W. HEAT CAPACITIES. C = Q/ Δ T But we know that Q = Δ U – W So C = ( Δ U – W) / Δ T. HEAT CAPACITIES. C = Q/ Δ T But we know that Q = Δ U – W So C = ( Δ U – W) / Δ T Then: C V = ( Δ U/ Δ T) V.

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HEAT CAPACITIES

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  1. HEAT CAPACITIES C = Q/ΔT

  2. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W

  3. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W So C = (ΔU – W) / ΔT

  4. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W So C = (ΔU – W) / ΔT Then: CV = (ΔU/ΔT)V

  5. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W So C = (ΔU – W) / ΔT Then: CV = (ΔU/ΔT)V and for infinitesimal values

  6. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W So C = (ΔU – W) / ΔT Then: CV = (ΔU/ΔT)V and for infinitesimal values CV = (∂U/∂T)V

  7. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W So C = (ΔU – W) / ΔT Then: CV = (ΔU/ΔT)V and for infinitesimal values CV = (∂U/∂T)V Cp = (∂U/∂T)p

  8. HEAT CAPACITIES C = Q/ΔT But we know that Q = ΔU – W So C = (ΔU – W) / ΔT Then: CV = (ΔU/ΔT)V and for infinitesimal values CV = (∂U/∂T)V Cp = (∂U/∂T)p Cp =(∂U/∂T)V + P (∂V/∂T)P

  9. Heat Capacities • Where (∂V/∂T)P = ∂ (NkT/P) = NkT/P ∂T

  10. Heat Capacities • Where (∂V/∂T)P = ∂ (NkT/P) = NkT/P ∂T This approach will not work for Latent Heats since there is no temperature change.

  11. Heat Capacities • Where (∂V/∂T)P = ∂ (NkT/P) = NkT/P ∂T This approach will not work for Latent Heats since there is no temperature change. Here we define L ≡ Q/m

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