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