A cubic metal box of sides 20 cm contains air at pressure of 1 atm and temperatu

Question

A cubic metal box of sides 20 cm contains air at pressure of 1 atm and temperature 300 K. It is sealed so that the volume is constant, and heated to a temperature of 400 K. Find the net force on each wall of the box. 10g of dry ice (solid CO_2) is placed in a 10,000 cm^3 container, then all the air is quickly pumped out and the container sealed. The container is warmed to 0 degree C, a temperature at which CO_2 is a gas. What is the gas pressure Give your answer in atm. The gas then undergoes an isothermal compression until the pressure is 3.0 atm, immediately followed by an isobaric compression until the volume is 1000 cm^3. What is the final temperature of the gas Show the process on a pV diagram.

Explanation / Answer

10)

a. use ideal gas law: P = nRT/V = m*R*T/(M*V) = 0.01*8.314*103*283/(44*0.01) = 0.535 bar where m is mass and M is molar mass of CO2
b. use ratio of ideal gas law before (0) and after (f): Pf/P0 = Tf/T0*V0/Vf -> Tf = Pf/P0*Vf/V0*T0
isobaric implies Pf = P0 so Tf = Vf/V0*T0 = 0.001/0.01*283 = 28.3 K = -245 C

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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