Question

What is the final temperature of $0.10$ mole mono atomic ideal gas that perform $75\text{cal}$ of work adiabatically if the initial temperature is ${227}^{\circ }C$ ? (use $R=2{\text{cal K}}^{-1}{\text{mol}}^{-1}$)

• A. $250\text{K}$
• B. $300\text{K}$
• C. $350\text{K}$
• D. $750\text{K}$

Answer 1

The correct option is A $250\text{K}$

In adiatic process, $dq=0$
$\therefore dw=dU\Rightarrow dw=n{C}_{v}dT\Rightarrow -75=0.1\times \frac{3}{2}\times 2(T_2-500)\Rightarrow T_2=250\text{K}$