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Isothermal process on p-V, T-V, and p-T diagrams

Isothermal process on p-V, T-V, and p-T diagrams

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type of gas degrees of<br />

freedom<br />

( f )<br />

Internal Energy (revisited)<br />

f<br />

2<br />

E int = nC V T = nRT = NkT C p = C V + R<br />

n = number of moles; 1 mole = 6.0221 × 10 22 particles (N A )<br />

N = number of particles<br />

R = gas c<strong>on</strong>stant = 8.3147 J mol –1 K –1<br />

k = Boltzmann’s c<strong>on</strong>stant = 1.3807 × 10 –23 J K –1<br />

specific heat at<br />

c<strong>on</strong>stant<br />

volume (C V )<br />

internal<br />

energy<br />

(E int )<br />

specific heat at<br />

c<strong>on</strong>stant<br />

pressure (C p )<br />

3 3<br />

5<br />

m<strong>on</strong>atomic 3 R nRT R<br />

2 2<br />

2<br />

5 5<br />

7<br />

diatomic 5 R nRT R<br />

2 2<br />

2<br />

polyatomic (≥3) ~6 3 R 3 nRT 4 R<br />

f<br />

2<br />

γ<br />

(C p /C V )<br />

PHYS 1101, Winter 2009, Prof. Clarke 16<br />

5<br />

3<br />

7<br />

5<br />

4<br />

3

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