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<br />- 56 - <br /> <br />-a3Vp x Vp = aV(ln at) x V(c T) + aV(ln T) x V(Lw ) <br />P s <br /> <br />Substituting forV(ln T) from eqn. (3.32) into eqn. (3.34) gives <br /> <br />-Ct3Vp x Vp <br /> <br />= aV{ln at) x V(c T + Lw ) <br />p s <br /> <br />w <br />+ (a ~ V(ln p) +aV(ln et) - ~aV(Ts)] x V(Lw ) <br />~ p s <br /> <br />.-'aV{ln aE} x V{Lws) <br /> <br />or <br /> <br />-a3Vp x Vp = aV(ln at) x V(CpT + Lws) <br /> <br />. w <br />+ [a L V{ln p) + aV{ln aE) - La V(-!) <br />cp c T <br />P <br /> <br />- aV{ln eF)] x V(Lws) <br /> <br />that is, <br /> <br />-a3Vp x Vp = aV{ln et) x V(c T + Lw ) <br />p s <br /> <br />Lw <br />R '. s ' <br />+ a[ c V(ln p) + ~ VT] )( V(lws) <br />P cpT <br /> <br />. <br /> <br />.- <br /> <br />.- <br /> <br />(3.34) <br /> <br />.-. <br /> <br />II- <br /> <br />.- <br /> <br />1- <br /> <br />1- <br /> <br />(3.35) <br /> <br />I- <br /> <br />I- <br /> <br />1- <br /> <br />.~ <br /> <br />(3.36) <br /> <br />1- <br /> <br />1- <br /> <br />1- <br /> <br />1- <br /> <br />(3.37) <br /> <br />1- <br /> <br />Up to this point the air could be either cloudy or dry depending on the <br /> <br />1- <br /> <br />value of w. We will now specify that the air is saturated with respect to <br />s <br /> <br />.-~ <br />