A gas is in a cylinder undergoes a quasi-static process such that P = $\beta$V²,starting with a volume of 2.0 m³.If the constant $\beta$ has a value of 7.4Nm^-8and the work done on the gas is 17.2 J,what is the final volume of the gas?

Question

Quizplus · Accepted Answer

Since the process is quasi-static, we can use the equation: W = -∫PdV Integrating both sides gives: W = F1F1F1S1F1F1F10(Vf - Vi)ln(Pf/Pi) = 17.2 J We are given that Vi = 2.0 m³, F1F1F1S1F1F1F10 = 7.4 Nm^-8, and Pf/Pi = P1S1S1P2/P0 = 2. Therefore, solving for Vf gives: Vf = (17.2 J)/(7.4 Nm^-8)(ln 2) + Vi = 1.0 m³ Therefore, the answer is B.

A Gas Is in a Cylinder Undergoes a Quasi-Static Process β\betaβ

A Gas Is in a Cylinder Undergoes a Quasi-Static Process $\beta$