Question

Which of the following relationships between $p$ and $T$ for adiabatic process is true?

• A. $ {{p}^{1-\gamma }}+{{T}^{\gamma }} $ = constant
• B. $ {{p}^{\gamma }}+{{T}^{1-\gamma }} $ = constant
• C. $ p{{T}^{1-\gamma }}T $ = constant
• D. $ {{p}^{1-\gamma }}T $ = constant

Answer 1

Answer: (A)

$ P{{V}^{\gamma }}= $ constant
$ \Rightarrow $ $ p{{\left( \frac{RT}{p} \right)}^{\gamma }}= $
constant $ \Rightarrow $ $ {{p}^{1-\gamma }}{{T}^{\gamma }}= $ constant