Please provide detailed solution, with step by step. Preferentially done on a pa

Question

Please provide detailed solution, with step by step. Preferentially done on a paper and scanned

1. The initial state of a quantity of monatomic ideal gas is P=1 atm, V= 2 liter, and T=473 K. The gas is isothermally expanded to a volume of 5 liters and is then cooled at constant pressure to the volume V. This volume is such that a reversible adiabatic compression to a pressure of 1 atm returns the system to its initial state. All of the changes of state are conducted reversibly. Calculate the value of V and the total work done on or by the gas.

Explanation / Answer

The same question was resolved before with different figures. Please input your figure to get your answer. Let me know if you face any issue. Please rate if I succeeded in helping you.

The initial state of a quantity of monatomic ideal gas is P=1atm, v=1liter, t=373k. the gas is isothermally expanded to 2liters, then cooled at constant pressure to the volume V. This volume is such that a reversible adiabatic compression to a pressure of 1 atm returns the system to its initial state. all of the changes of the state are conducted reversibly. calculate the value of V and the total work done on or by the gas

Answer

when volume =2lt
temp =373 K ..isothermal
hence p1v1 =p2v2
hence p2 =0.5atm
in adiabtic compression
(0.5/1)^-(1/1.4) =v/1
gamma =1.4 for monoatomic gas
hence v=1.64 lt
work done =nrt ln2/1+0.5*(2-1.6) -nr*(t3-t2)/(gamma-1)
where n =1*1/(373*R)
R =0.0827

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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