If the gas obeys the ideal gas model, and p1 5 3 atm, 1 5 4.2 ft3/lb, p4 5 1 atm, the specific volume at state 4 is 12.6 ft³/lb.
How to find specific volume?
State 4 specific volume (v₄):
Identify the process: it an isothermal expansion (a process at constant temperature).
Apply the ideal gas law: For an isothermal process, PV = constant. Therefore, write:
p₁ × v₁ = p₄ × v₄
Plug in the given values:
p₁ = 3 atm
v₁ = 4.2 ft³/lb
p₄ = 1 atm
Solve for v₄:
v₄ = (p₁ × v₁) / p₄
= (3 atm × 4.2 ft³/lb) / 1 atm
= 12.6 ft³/lb
Therefore, the specific volume at state 4 is 12.6 ft³/lb.
Complete question:
Referring to Fig. 5.13, if the gas obeys the ideal gas model, and p1 5 3 atm, 1 5 4.2 ft3/lb, p4 5 1 atm, the specific volume at state 4 is _____ ft3/lb.