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

1. Apr 19, 2013

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.

2. Apr 19, 2013

Staff: Mentor

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...

3. Apr 19, 2013

cjc0117

Okay, I figured it out. Thank you gneill!