A gas contained in a piston cylinder is compressed in aquasi-equilibrium process

Question

A gas contained in a piston cylinder is compressed in aquasi-equilibrium process from 0.08 to 0.04m^3. The piston isconstrained by a variable external force, such that the pressure(kPa) of the gas is related to the volume (m^3) as follows:                                              p= 0.012V^-2 + 80 i) Calculate the required work (kJ) ii) Indicated whether work enters/leaves the system Confused about the calculations, please help!!! A gas contained in a piston cylinder is compressed in aquasi-equilibrium process from 0.08 to 0.04m^3. The piston isconstrained by a variable external force, such that the pressure(kPa) of the gas is related to the volume (m^3) as follows:                                              p= 0.012V^-2 + 80 i) Calculate the required work (kJ) ii) Indicated whether work enters/leaves the system Confused about the calculations, please help!!!

Explanation / Answer

a) Work = - integral [P*dV] = -integral [ 0.012/V2 +80]dV Work = -[-0.012/V +80V]             evaluated from 0.08 to 0.04 m3 Work = [0.012/V - 80V]           evaluated from0.08 to 0.04 m3 Work = [0.012/0.04 - 80*0.04] - [0.012 / 0.08 - 80*0.08] Work = 3.35 kPa*m3 = 3.35 m3 Work > 0 Work enters the system (whenever V goes down, the system is being compressed, so work isdone ON the gas; work enter the system)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.