Question

Given the graph above which shows the pressure and volume of a gas as it goes through cyclic process ABCA. how much work is done by the gas as it goes through this process?

• A. $200J$
• B. $900J$
• C. $600J$
• D. $800J$
• E. $1000J$

Answer 1

Answer: (D)

$800J$

Area enclosed by a cyclic process in P-V graph gives the work done during the cyclic process.

From figure, $AC=4\times {10}^{5}Pa$ $BC=4\times {10}^{-3}{m}^3$

$\therefore$ Work done by the gas = area $=\frac{1}{2}\times AC\times BC=\frac{1}{2}\times (4\times {10}^5)\times (4\times {10}^{-3})=800J$