Question

In an adiabatic expansion of gas from 1 atm, 300 K to 8 atm & "T" K. Find T if ($\gamma =3/2$)

• A. 350 K
• B. 150 K
• C. 600 K
• D. 400 K

Answer 1

The correct option is C 600 K

$P_1^{1-y}{T}_1^y=P_2^{1-y}{T}_2^y$
${\left(\frac{1}{8}\right)}^{1-\frac{3}{2}}={\left(\frac{T_2}{300}\right)}^{3/2}$
${\left(\frac{1}{8}\right)}^{\frac{1}{2}\times \frac{2}{3}}=\frac{T_2}{300}$
$2\times 300=T_2$
$600K$