Question

A sample of monoatomic gas is passed through process, find heat added during the process.

• A. 1360 J
• B. 400 J
• C. 1260 J
• D. 1060 J

Answer 1

The correct option is A 1360 J

$Q=\Delta U+W$,
$W$ = area of PV bounded with volume


$W=\frac{1}{2}\{800+1200\}\left\{400\right\}\times {10}^3\times {10}^{-6}$

$=\frac{1}{2}\left\{2000\right\}\left\{400\right\}\times {10}^{-3}$

$=1000\times 400\times {10}^{-3}=400J$

$\Delta U=\frac{3}{2}nR\Delta T=\frac{3}{2}\Delta PV=\frac{3}{2}(1200\times 800-800\times 400)\times {10}^{-6}\times {10}^3=960J$

$Q=400+960=1360J$