Evaluating WorkCarbon dioxide (CO2) gas within a

QUESTION:

Carbon dioxide \(\left(\mathrm{CO}_2\right)\) gas within a piston-cylinder assembly undergoes an expansion from a state where \(p_1= 20 \mathrm{lbf} / \mathrm{in}^2, V_1=0.5 \mathrm{ft}^3\) to a state where \(p_2=5 \mathrm{lbf} / \mathrm{in}^2, V_2= 2.5 \mathrm{ft}^3\). The relationship between pressure and volume during the process is p = A+ BV, where A and B are constants.

(a) For the \(\mathrm{CO}_2\), evaluate the work, in ft-lbf and Btu.

(b) Evaluate A, in \(\mathrm{lbf} / \mathrm{in}^2\), and B, in \(\left(\mathrm{lbf} / \mathrm{in}^2\right) / \mathrm{ft}^3\).