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<br />- 58 - <br /> <br />Using eqn. (3.43) the last term in eqn. (3.37) may be written as <br /> <br />R w <br />a - (l + -!.) V(ln p) x V{Lw ) <br />c € S <br />P <br /> <br />(3.44) <br /> <br />or, ignoring ws/e compared to 1, substituting for V(ws) fX'om eqn. (3.,43) into <br /> <br />expression (3.44), and using the gas eQua1=!on. the;. last tenn in Gqn. (3.37) <br /> <br />becomes <br /> <br />2 <br />3 1 L w e: <br />a s <br />c R 2 Vp x Vp <br />pT. <br /> <br />(3.45) <br /> <br />Substituting (3.45) into eqn. (3.37) and rearranging gives <br /> <br />-a3Vp x Vp = a{l + <br /> <br />2 <br />eL ow <br />s <br />c RT2 <br />p <br /> <br />)-1 V(ln aE) x V(c T + Lw ) <br />p s <br /> <br />or <br /> <br />-a3Vp x Vp = a(l - A) V(ln 6E) x V(CpT + Lws) <br /> <br />(3.46) <br /> <br />where <br /> <br />A = <br /> <br />c RT2 <br />(l + p <br />2 <br />€L w <br />s <br /> <br />. , <br /> <br />)-1 <br /> <br />(3.47) <br /> <br />Eqn. (3.46) is analogous to eqn. (3.?) butVln(e) is replaced by <br /> <br />(l-A) V In(6E) and C T by (c T + Lw). Therefore, the analogous equation to <br />p p s <br />eqn. (3.l0) for satuX'ated air is <br /> <br />I- <br />I- <br />l <br />l <br />l <br />l <br />I,.. <br />l <br />l <br />I <br />I <br />l <br />I <br />l <br />I <br />I <br />I <br />I <br />I <br />