Chapter 21, Problem 22P

The work produced by a constant temperature, pressure-volume thermodynamic process can be computed as

$W={\displaystyle \int pdV}$

where W is work, p is pressure, and V is volume. Using a combination of the trapezoidal rule, Simpson's 1/3 rule, and Simpson's 3/8 rule, use the following data to compute the work in kJ $\left(\text{kJ}\text{=}\text{kN}\cdot \text{m}\right)$.

Pressure (kPa)	336	294.4	266.4	260.8	260.5	249.6	193.6	165.6
Volume (m3)	0.5	2	3	4	6	8	10	11