Question

The relation between p and T during the adiabatic process with a monoatomic gas is $pT^n$= constant. What is the value of n = ?

• A. $\frac{5}{2}$
• B. $-\frac{5}{2}$
• C. $\frac{3}{2}$
• D. $-\frac{3}{2}$

Answer 1

Answer: (B)

$-\frac{5}{2}$

Answer 2

$pV\, \gamma \,=K\,and\, pV = RT$ $Hence\,p \left (\frac {Rt}{p} \right)^{\gamma}=K\,or\, p^{1-\gamma} T^{\gamma}=K' \,Or \,\frac{\gamma}{pT^{1-\gamma}} = K'$ For monoatomic gas $\gamma$ = 5/3