Question

1 mole of an ideal gas is subjected to a reversible process as shown in the figure. Calculate the work done (in joule) in this process. [ln 2 = 0.7]

• A. 0.5 Joule
• B. 6 Joule
• C. 8 Joule
• D. 0.8 Joule

Answer 1

The correct option is A 0.5 Joule

The given graph is of pressure against reciprocal of volume. From this, the volume at points A and B is calculated as 1 $m^3$ and 0.67 $m^3$ respectively.
A graph of pressure versus volume is plotted. The work done is given by the area ABCDE.
Work done $=$ area ABCDE $=$ area of triangle ABC + area of rectangle ACDE $=\frac{1}{2}\times (0.33m^3\times 1pascal)+(0.33m^3\times 1pascal)=0.5pascal{m}^3=0.5J$
Hence, the work done is 0.5J.