Can the Peng-Robinson EOS be solved explicitly for T?

[cjc0117]

I'm not sure if this is the right forum to ask this question, but it arose as part of an engineering problem, so here goes.

The Peng-Robinson EOS is as follows:

$P=\frac{RT}{v-b}-\frac{a[1+k(1-\sqrt{\frac{T}{T_{c}}}]^{2}}{v(v+b)+b(v-b)}$

I'm just wondering if this equation can be solved explicity for T. I tried but I had no luck.

 

[gneill]

Presumably T is a positive value. Replace T with t². That'll let you pull it out of the square root. Solve the resulting quadratic for t...

 

[cjc0117]

Okay, I figured it out. Thank you gneill!